P and Q started a partnership business investing some amount in the ratio of 3:5. R joined them after six months with an amount equal to that of Q. In what proportion should the profit at the end of one year be distributed among P, Qand R? A.5 : 8 : 10 B.6 : 10 : 5 C.6 : 4 : 10 D.10 : 6 : 3

P and Q started a partnership business investing some amount in the ratio of 3:5. R joined them after six months with an amount equal to that of Q. In what proportion should the profit at the end of one year be distributed among P, Qand R? A.5 : 8 : 10 B.6 : 10 : 5 C.6 : 4 : 10 D.10 : 6 : 3
by

1 Answer

Answer :

Answer – B (6 : 10 : 5)

Explanation – Let the initial investments of P and Q be 3a amd 5a.

P : Q : R = (3a x 12) : (5a x 12) : (5a x 6) = 36 : 60 : 30 = 6 : 10 : 5.
by

Related questions

Ananya and bheeman started a partnership business investing some amount in the ratio of 3:7. Chandru joined them after 6 months with an equal amount of bheeman. In what proportion should thr profit at the end of 1 year be distributed among ananya, bheeman, and chandru? A) 5:6:7 B) 7 :12;4 C) 6:11:5 D) 6:14:7

Description : Ananya and bheeman started a partnership business investing some amount in the ratio of 3:7. Chandru joined them after 6 months with an equal amount of bheeman. In what proportion should thr profit at the end of 1 year be distributed among ... , and chandru? A) 5:6:7 B) 7 :12;4 C) 6:11:5 D) 6:14:7

Last Answer : Answer: D) Let the investments of ananya,bheeman be 3x and 5x Ananya : bheema : chandru = (3x*12 ) : (7x *12 ) : (7x *6) =36x : 84x :42x =6 : 14 :7

Three friends started a Company, let there names are P, Qand R. What profit Q will get, if, 1. R invested Rs. 4000 for nine months, his profit was 3/2 times that of Q's and his investment was four times that of P. 2. P and Q invested for one year in the proportion 1 : 2 respectively. 3. The three together got Rs. 500 as profit at the year end. A) Only 1 and 3 B) Only 1 and 2 C) All 1, 2 and 3 D) None of above

Description : Three friends started a Company, let there names are P, Qand R. What profit Q will get, if, 1. R invested Rs. 4000 for nine months, his profit was 3/2 times that of Q's and his investment was four times that of P. 2. ... year end. A) Only 1 and 3 B) Only 1 and 2 C) All 1, 2 and 3 D) None of above

Last Answer : Answer: C) 1 and 2 will give : R = Rs. (4000 x 9) for 1 year = Rs. 36000 for 1 year. P = Rs. (1/4 * 4000 * 12 ) for 1 year = Rs 12000 for 1 year Q = Rs 24000 for one year R:P:Q = ... Profit = 500 Now from the ratio and total profit we can get Share of R. R share will be = 500 * 2/6 = 166.66

P started a business in 1990 by investing Rs.25,000. She invested Rs. 10,000 as additional amount in 1991 and her friend Q joined her with an amount of Rs.35,000. P invested another Rs. 10,000 in 1992 and R joined them with Rs. 35,000. At the end of these 3 years, they earned a profit of Rs. 150,000. Find Q's share? a) Rs.50,000 b) Rs.65,000 c) Rs.75,000 d) Rs.15,000

Description : P started a business in 1990 by investing Rs.25,000. She invested Rs. 10,000 as additional amount in 1991 and her friend Q joined her with an amount of Rs.35,000. P invested another Rs. 10,000 in 1992 and R joined them ... ,000. Find Q's share? a) Rs.50,000 b) Rs.65,000 c) Rs.75,000 d) Rs.15,000

Last Answer : Answer: A) P invested Rs.25,000 for 12 months, Rs.(25000 + 10000) for 12 months, , Rs.(25000 + 10000 + 10000) for 12 months. i.e., P invested Rs.25,000 for 12 months, Rs.35000 for 12 months Rs.45000 for 12 months. Q ... Q's share = Rs.(1,50,000 x 2 /(3+2+1)) = Rs.(1,50,000 x 2/6) = Rs.50,000

Two friends M & N started a business Investing in the ratio of 6 :7 . O joined then after 6 months investing an amount equal to that of N. at the end of the year 30% profit was equal to 105000. What was the amount invested by O? A) 148484 B) 154326 C) 146738 D) 145783

Description : Two friends M & N started a business Investing in the ratio of 6 :7 . O joined then after 6 months investing an amount equal to that of N. at the end of the year 30% profit was equal to 105000. What was the amount invested by O? A) 148484 B) 154326 C) 146738 D) 145783

Last Answer : Answer: A) Let the total profit be x Then 30% of x = 105000 X = 105000 * 100/30 X=350000 Let the capitals of M,N,O be Rs. 6x ,7x and 7x respectively. Then, (6x*12) + (7x *12) +(7x *6) = 350000*12 72x +84x +42x = 4200000 198x = 4200000 X=21212 O’s investment = Rs.148484

A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by A.Rs. 2400 B.Rs. 3600 C.Rs. 3000 D.Rs. 4800

Description : A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000 ... of Rs. 26400 after one year by A.Rs. 2400 B.Rs. 3600 C.Rs. 3000 D.Rs. 4800 

Last Answer : Answer: B (Rs. 3600) Explanation: A:B: C = 16000 x3 + 11000×9:12000 x 3 + 17000 x 9:21000 x 6 = 147:189:126 = 7:9:6 Difference of B and C’s shares = Rs. [26400 x (9/22) — 26400 x (6/22)) = Rs. 3600.

Tonu started a business investing Rs. 90,000. After 3 months, reetu joined him with a capital of Rs. 1,20,000. After 6 months, shalu joined them with a capital of Rs.1,80,000. At the end of the year, they made a profit of Rs.33000. find the share of shalu. A) 13200 B) 6600 C) 7500 D) 12000

Description : Tonu started a business investing Rs. 90,000. After 3 months, reetu joined him with a capital of Rs. 1,20,000. After 6 months, shalu joined them with a capital of Rs.1,80,000. At the end of the year, they made a profit of Rs.33000. find the share of shalu. A) 13200 B) 6600 C) 7500 D) 12000

Last Answer : Answer: B) Ratio of their capitals = (90000*12):(1,20,000*9): (1,80,000*3) = 2:2:1 Tonu’s share = Rs(33000*2/5) = Rs.13200 Reetu’s share = Rs(33000*2/5) = Rs.13200 Shalu’s share = Rs(33000*1/5) = Rs.6600

P, Q, R enter in business partnership. P invests some money at the beginning, Q invests thrice times the amount after 4 months and R invests 6 times the amount after 8 months. If the annual profit be Rs 61260, R's share is A) 41700 B) 45870 C) 47860 D) 40840

Description : P, Q, R enter in business partnership. P invests some money at the beginning, Q invests thrice times the amount after 4 months and R invests 6 times the amount after 8 months. If the annual profit be Rs 61260, R's share is A) 41700 B) 45870 C) 47860 D) 40840

Last Answer : Answer: D)  Let initial investment of P be X  Q’s initial investment after 4 month is 3 X  R’s initial investment after 8 months is 6X  Profit ratio of P,Q&R is,  X*12:3x*4:6x*8=12:12:48=1:1:4  R’s share =61260*4/6=Rs.40840

A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ? A.Rs.420 B.Rs. 300 C.Rs.400 D.Rs.350

Description : A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ? A.Rs.420 B.Rs. 300 C.Rs.400 D.Rs.350

Last Answer : Answer- C(Rs.400) Explanation : Ratio of investments =1/2 : 1/3 : 1/4 , LCM of 2, 3, 4 = 12 ,multiply ratios with 12 we get 6 : 4 : 3 , so,initial investment be 6x, 2x and 3x so, we can write: A : B :C =(6x X 2 + 3x X 10 ) : (4x X 12) :(3x X 12) = 7:8:6 B’s share= (8/21) x 1050 = 400

A started a business with Rs. 21,000 and is joined afterwars by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally? A.8 months B.2 months C.5 months D.7 months

Description : A started a business with Rs. 21,000 and is joined afterwars by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally? A.8 months B.2 months C.5 months D.7 months

Last Answer : Answer – C (5 months) Explanation – let B joined after x months Then, 21000 x 12 = 36000 x (12 – x)36 = 180x = 5Hence, B joined after 5 months

P, Q, R enter into a partnership. P initially invests Rs 15000 and withdrawn Rs. 7500 after 7 months. Q initially invests Rs 12500 and withdraws Rs 10000 after 5 months and R invests Rs 10000 and adds another Rs 5000 after few months. At the end of 1 year and 3 months profits of P and R is twice the profit of Q. Then after how many months did R invests Rs 10000? A) 2.5 B) 2.6 C) 2.7 D) None

Description : P, Q, R enter into a partnership. P initially invests Rs 15000 and withdrawn Rs. 7500 after 7 months. Q initially invests Rs 12500 and withdraws Rs 10000 after 5 months and R invests Rs 10000 and adds another Rs 5000 ... after how many months did R invests Rs 10000? A) 2.5 B) 2.6 C) 2.7 D) None

Last Answer : Answer: A)  Ratio of P, Q &R is , 15000*7+7500* 8:12500*5+2500* 10:10000*x+15000*(15-x)  P: Q: R=66:35:9-2x  Profit of Q = (profit of P + profit of R)/2  35 = (66 +9 -2x)/2  X=2.5 months

P,Q, R enter into a partnership.P initially invests Rs 54 lakh and withdraws Rs 18 lakhs after 4 years. Q initially Rs 72 lakh ans adds another Rs 18 lakhs after 6 years and R invests Rs 108 lakh and adds another Rs 18 lakh few years. At the end of 10 years profit Of R is equal to sum of profit of P and Q. Then for how many years did R invests Rs 126 lakh per annum A) 5 B) 7 C) 8 D) 11

Description : P,Q, R enter into a partnership.P initially invests Rs 54 lakh and withdraws Rs 18 lakhs after 4 years. Q initially Rs 72 lakh ans adds another Rs 18 lakhs after 6 years and R invests Rs 108 lakh and adds another ... Then for how many years did R invests Rs 126 lakh per annum A) 5 B) 7 C) 8 D) 11 

Last Answer : Answer: C) Ratio of their profit P, Q, R is 54*4+36*6:72*6+90*4:108*x+126*(10-x) =12:22:35 - 0.5x Profit of R=profit of P +profit of Q 35-0.5x=12+22 X=2 year The number of years for R invests Rs 126 lakh =10-2=8years

In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q receive ? A.Rs.650 B.Rs.688 c.Rs.588 D.Rs.490

Description : In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q  receive ? A.Rs.650 B.Rs.688 c.Rs.588 D.Rs.490

Last Answer : Answer- B(Rs.688 ) Solution : P : Q = 3 : 2 , P : R = 2 : 1 [given] Q : P = 2 : 3 [reverse], Q : P = 4 : 6 [multiply by 2] Now, P : R = 2 : 1 P : R = 6 : 3 [multiply by 3] P : Q =6 : 4 [after x3] , So Q : P : R = 4 : 6 : 3 or, P : Q : R = 6 : 4 : 3 Q’s share= 4/13 x 2236=Rs.688

Three persons enter into a partnership by investing in the ratio of 9:8:1. After one year P double its investment and R puts another Rs.6000 to the initial investment. Now the ratio of investment changes to 9:8:2. What is total investment P,Q, R after 2years? A) 108000. B) 114000. C) 126000. D) None

Description : Three persons enter into a partnership by investing in the ratio of 9:8:1. After one year P double its investment and R puts another Rs.6000 to the initial investment. Now the ratio of investment changes to 9:8:2. What is total investment P,Q, R after 2years? A) 108000. B) 114000. C) 126000. D) None

Last Answer : Answer: B)  Let investment of P, Q & R are 9x,8x & x for 1year.  After 1 year ratio of their investments.  9:8:2 =9 x +18x : 8x: x+6000=27x :8x: x+6000 X =Rs.6000 Total investments of P, Q & R After 2 years =[9+8+2]*6000=Rs.114000.

X, Yand Z enter into a partnership by investing in the ratio of 6 : 4: 8. After 1 year, Y invests another Rs. 540,000 and Z, at the end of 2 years, also invests Rs.540,000. At the end of three years, profit is are shared in the ratio of 6 : 8 : 10. Find initial investment of Z. A) 7,20,000 B) 8,80,000 C) 6,50,000 D) 5,50,000.

Description : X, Yand Z enter into a partnership by investing in the ratio of 6 : 4: 8. After 1 year, Y invests another Rs. 540,000 and Z, at the end of 2 years, also invests Rs.540,000. At the end of three years, profit is ... 10. Find initial investment of Z. A) 7,20,000 B) 8,80,000 C) 6,50,000 D) 5,50,000. 

Last Answer : Answer: A) Let the initial investments of X, Yand Z be Rs. 6x, Rs. 4x and Rs. 8x respectively. Then, (6x * 36) : [(4x * 12) + (4x + 540000) x 24] : [(8x * 24) + (8x +540000) x 12]=6:8:10 ... =3/4 => 864x = 432x + 38880000 => 432x = 19440000 x=90000 Z's initial investment = 8x = Rs. 7,20,000.

P and Q entered into a partnership with captials in the ratio 4:5. After 3 months, P withdrew 1/3 of his capital and Q withdrew 1/5 of his capital . The gain at the end of 9 Months was Rs. 775. P's shares of profit is A) 358 B) 362 C) 337 D) 345

Description : P and Q entered into a partnership with captials in the ratio 4:5. After 3 months, P withdrew 1/3 of his capital and Q withdrew 1/5 of his capital . The gain at the end of 9 Months was Rs. 775. P's shares of profit is A) 358 B) 362 C) 337 D) 345

Last Answer : Answer: C)  Investment initial of P=4x  Investment initial of Q=5x  After 3 months of P=4x*(1/3)=4x/3  After 3 months of Q= 5x*(1/5)= x  Ratio of capitals = (4x*3+3x*6: 5x*3+4x*6)=30x:39x=10:13  Total profit =775  P’s share =10/23*775=337(approx.)

Saranya began a business with Rs 84000 and he joined by shalu with Rs 72000. At the end of the year their profit ratio 14:4 then after how many months does shalu joins the business? A) 5 B) 6 C) 8 D) 9

Description : Saranya began a business with Rs 84000 and he joined by shalu with Rs 72000. At the end of the year their profit ratio 14:4 then after how many months does shalu joins the business? A) 5 B) 6 C) 8 D) 9

Last Answer : Answer: C) Saranya invests Rs 84000 for 12 months shalu invests Rs 72000 for X months Ratio of both profits, Saranya: shalu =84000*12:72000*x =14:X 14/4=14/X => X = 4months =12-4=>8months

P, Q & R enter into partnership. P invests 6 times as much as Q and Q invests two- sixth of what R invests. At the end of the year, the profit earned is Rs.7200. what is the share of Q? A) 720 B) 550 C) 670 D) 480

Description : P, Q & R enter into partnership. P invests 6 times as much as Q and Q invests two- sixth of what R invests. At the end of the year, the profit earned is Rs.7200. what is the share of Q? A) 720 B) 550 C) 670 D) 480

Last Answer : Answer: A) Let R’s capital = Rs.x Q’s capital = Rs.2x/6 = x/3 P’s capital = 6x/3 = 2x Ratio of their capitals = 2x : x/3 : x =6x:x:3x =6:1:3 Hence Q’s share = (7200*1/10) = Rs.720

In a partnership P invests 2/6 th of the capital for 2/3rd of the time, Q invests 3/5th of the capital for 1/3rd of the time and R invests for 2/5th of the capital for 3/4th of the time. Out of the profit of Rs. 64375at the end of the year, find R's share in the profit A) 27854. B) 23000. C) 26740. D) 25784

Description :  In a partnership P invests 2/6 th of the capital for 2/3rd of the time, Q invests 3/5th of the capital for 1/3rd of the time and R invests for 2/5th of the capital for 3/4th of the time. Out of the ... 64375at the end of the year, find R's share in the profit A) 27854. B) 23000. C) 26740. D) 25784

Last Answer : Answer: C)  Ratio of their profits  (2/6*2/3)*12: (3/5*1/3)*12: (2/5*3/4) *12 =40:36:54  R’s share =64375*54/130  =Rs.26740

A started a business with Rs. 28000 and is later joined by B with Rs. 49000. After how many months did B joined if the profit after 3 yrs divided in the ratio for 7:6 for B and A? a) 12 b) 17 c) 16 d)15

Description : A started a business with Rs. 28000 and is later joined by B with Rs. 49000. After how many months did B joined if the profit after 3 yrs divided in the ratio for 7:6 for B and A? a) 12 b) 17 c) 16 d)15

Last Answer : Answer: A) Let number of months A invest by B be Y Ratio of A after 2 yrs is, 6/7 = (2800*36)/(4900*Y)  y = 24 months No of month after A joined =36 -24 =12 months

Meenu invested Rs.38000 in a business. After few months, ruba joined her with Rs.28500. At the end of the year, the total profit was divided between them in the ratio 2:1. After how many months did ruba joined? A) 2 months B) 3 months C) 4 months D) 5 months

Description : Meenu invested Rs.38000 in a business. After few months, ruba joined her with Rs.28500. At the end of the year, the total profit was divided between them in the ratio 2:1. After how many months did ruba joined? A) 2 months B) 3 months C) 4 months D) 5 months

Last Answer : Answer: C) Suppose Ruba joined after x months Then Ruba’s money was invested for (12-x) months. 38000 *12/28500*(12-x) = 2/1 456000 = 684000 – 57000x X = 4 Hence Ruba joined after 4 months.

Dhivya, Dinesh and Deepi enter into a partnership and their shares are in the ratio 1/3 :1/4 :1/5. After 2 months, dhivya withdraws half of her capital and after 10 months, a profit of Rs. 462 is divided among them, what is Deepi’s share? A) 123.56 B) 165.45 C) 143.3 D) 146.43

Description : Dhivya, Dinesh and Deepi enter into a partnership and their shares are in the ratio 1/3 :1/4 :1/5. After 2 months, dhivya withdraws half of her capital and after 10 months, a profit of Rs. 462 is divided among them, what is Deepi’s share? A) 123.56 B) 165.45 C) 143.3 D) 146.43

Last Answer : Answer: C) Ratio of initial investments = 1/3 : 1/4 : 1/5 = 20 :15 :12 Let their initial investments be 20x, 15x and 12x respectively Dhivya: Dinesh :Deepi = (20x *2 +10x *10) : (15x *12) : (12x*12) =140x : ... 70:90:72 = 35 : 45 :36 Deepi s share = Rs.462 * 36/116 = Rs(16632/116) =Rs.143.3

P and Q invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and P’s share is Rs. 855, the total profit is: A.Rs. 1435 B.Rs. 1500 C.Rs. 1538 D.Rs. 1580

Description : P and Q invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and P’s share is Rs. 855, the total profit is: A.Rs. 1435 B.Rs. 1500 C.Rs. 1538 D.Rs. 1580

Last Answer : Answer- B (Rs.1500) Explanation: Let the total profit be Rs. 100. After paying to charity, A’s share = Rs. 95 x 3/5 = Rs. 57. If A’s share is Rs. 57, total profit = Rs. 100. If A’s share Rs. 855, total profit =(100/57) x 855 = 1500.

Bharathi started a business with Rs.50000 and after 4 months, sathya joined him with Rs.120000. Bharathi received Rs.116000 including 20% of profit as commission for managing the business. What amount did sathya receive? A) 112484. B) 145826. C) 134972. D) 112540

Description : Bharathi started a business with Rs.50000 and after 4 months, sathya joined him with Rs.120000. Bharathi received Rs.116000 including 20% of profit as commission for managing the business. What amount did sathya receive? A) 112484. B) 145826. C) 134972. D) 112540

Last Answer : Answer: A) Ratio of the profits = 50000 12 : 120000 8 = 5:8 Let the total profit = x. Then Bharathi received 20x/100 = x/5 as commission for managing the business Remaining profit = x- x/5 = 4x ... =x/5+4x/13=116000 =33x/65=116000 => x = 228484 Sathya 's share = 228484 - 116000 = 112484

Francis and George started a business with investments of Rs.7000 and Rs.10000. After x months, Francis left. After two more months David joined the business with an investment of Rs.10000. If the annual profit is shared among David, Francis and George in the ratio 10:7:24, find the respective time periods of David, Francis and George for which they stayed that year. a)5:5:12 b)1:1:3 c)1:1:4 d)1:1:2

Description : Francis and George started a business with investments of Rs.7000 and Rs.10000. After x months, Francis left. After two more months David joined the business with an investment of Rs.10000. If the annual profit is shared among David, ... which they stayed that year. a)5:5:12 b)1:1:3 c)1:1:4 d)1:1:2

Last Answer : a)5:5:12

P, Q, R invested in the ratio of 15:16:17. After the end of the business teram they receives the profit in the ratio 9:10:11. Find the ratio of time in which they invested in the business. A) 934:1699:1578 B)1224:1275:1320 C)1578:1668:8096. D) None

Description : P, Q, R invested in the ratio of 15:16:17. After the end of the business teram they receives the profit in the ratio 9:10:11. Find the ratio of time in which they invested in the business. A) 934:1699:1578 B)1224:1275:1320 C)1578:1668:8096. D) None

Last Answer : Answer: B)  P, Q, R invest the amount in the ratio 15:16:17  T1, T2, T3 are time for investment profit gained =investment × time  Profit ratio= 9: 10: 11=15 × T1 :16 × T2 : 17 × T3  T1:T2:T3 =1224:1275:1320

P, Q & R are three partners start a business. Thrice P’s capital is equal to four times Q’s capital and Q’s capital is 6 times R’s capital. Out of a total profit Rs.35860 at the end of the year, Q’s share is A) Rs.12334 B) Rs.14344 C) Rs. 21500 D) Rs.17600

Description : P, Q & R are three partners start a business. Thrice P’s capital is equal to four times Q’s capital and Q’s capital is 6 times R’s capital. Out of a total profit Rs.35860 at the end of the year, Q’s share is A) Rs.12334 B) Rs.14344 C) Rs. 21500 D) Rs.17600

Last Answer : Answer: B) Let R = c Q = 6c P = 24c/3 = 8c P : Q : R= 8c:6c:c = 8: 6: 1 So Q’s capital = Rs. 35860 * 6/15 = Rs.14344

Anju and Bimal are partners in a business. Anju contributes 1 / 4 of the capital for 15 months and Bimal received 2 / 3 of the profit, for how long Bimal’s money was used ? A.5 months B.3months C.8 months D.10 months

Description : Anju and Bimal are partners in a business. Anju contributes 1 / 4 of the capital for 15 months and Bimal received 2 / 3 of the profit, for how long Bimal’s money was used ? A.5 months B.3months C.8 months D.10 months

Last Answer : Answer- D (10 months) Explanation- Let total profit is x Then Bimal's share in profit= (2/3)x so anju's share in profit= x- (2/3)x =x/3 so,we get ratios of profit of Anju :Bimal :: 1:2 Let total ... /4)P x b = 1/2 [ Capital x time =profit] so,we get b=10 Bimal's money was used for 10 months

Among 3 persons, P, Q, R the profit of R is equal to two-fifth of the sum of one-third profit of P and onethird of Q. If at the end of the year total profit is Rs 12750, then find the average profit of P and Q? A) 4750 B) 5625 C) 7425 D) 6520

Description : Among 3 persons, P, Q, R the profit of R is equal to two-fifth of the sum of one-third profit of P and onethird of Q. If at the end of the year total profit is Rs 12750, then find the average profit of P and Q? A) 4750 B) 5625 C) 7425 D) 6520

Last Answer : Answer: B)  R=2/5(1/3 P+1/3 Q)  15R=2(P+Q)  R/(P+Q)= 2/15  Take R=2x, P+Q=15x  Total profit =15x+2x =12750  =>X=Rs.750  Average profit of P&Q =750/2 *15=5625

Among 3 Persons P,Q,R the profit Of Q is equal to one- third of the difference between the profit of R and triple of P. If at the end of the year, total profit is Rs 27000. Then find the profit of R? A) 13000 B) 17850 C) 14500 D) 20250

Description : Among 3 Persons P,Q,R the profit Of Q is equal to one- third of the difference between the profit of R and triple of P. If at the end of the year, total profit is Rs 27000. Then find the profit of R? A) 13000 B) 17850 C) 14500 D) 20250

Last Answer : Answer: D)  Q=1/3(R-3P)  3Q=R-3P R=3[P+Q]  R/(P+Q) =3/1  R/(P+Q+R)=3/4  R/27000 =3/4  R=Rs.20250

Agalya started a work with Rs. 144000 and after 3months Bhuvana joined with her the amount of Rs. 116000. At the end of the year bhuvana received a profit of Rs.20960 including 16% as a commission for maintain the work. Find the profit earned by agalya at the end of the year approximately? a) 22045 b) 23040 c) 21450 d) 24500

Description : Agalya started a work with Rs. 144000 and after 3months Bhuvana joined with her the amount of Rs. 116000. At the end of the year bhuvana received a profit of Rs.20960 including 16% as a commission for ... earned by agalya at the end of the year approximately? a) 22045 b) 23040 c) 21450 d) 24500

Last Answer : Answer: B) Ratio of agalya & bhuvana 144000*12: 116000*9= 48:29 Let the total profit be Z. Profit earned by bhuvana =16 % of Z+ 29/77 of 84 % of Z=20960 524Z= 20960 * 100 *11 => Z= Rs.44000. Total profit by agalya =48/77 *84/100 *44000 = Rs.23040.

P, Q and R jointly thought of engaging themselves in a business venture. It was agreed that P would invest Rs. 3250 for 6 months, Q, Rs. 4200 for 5 months and R, Rs. 5,000 for 3 months. P wants to be the working member for which, he was to receive 10% of the profits. The profit earned was Rs. 3700. Calculate the share of Q in the profit. A) Rs. 1800 B) Rs. 1260 C) Rs. 1580 D) Rs. 1940

Description : P, Q and R jointly thought of engaging themselves in a business venture. It was agreed that P would invest Rs. 3250 for 6 months, Q, Rs. 4200 for 5 months and R, Rs. 5,000 for 3 months. P wants to be the ... Calculate the share of Q in the profit. A) Rs. 1800 B) Rs. 1260 C) Rs. 1580 D) Rs. 1940

Last Answer : Answer: B) For managing, P received = 10% of Rs. 3700 = Rs. 370. Balance = Rs. (3700 - 370) = Rs. 3330. Ratio of their investments = (3250 x 6) : (4200 x 5) : (5000 x 3)  = 19500 : 21000 : 15000  = 13 : 14 : 10 Q's share = Rs. 3330x 14 / 37 = Rs. 1260

Mano, kajal, kavin enter into partnership. Mano invests some money at the beginning kajal invests double the amount for 8 months and kavin invests thrice the amount for 10 months. If the annual profit be Rs.35000 then kavin’s share is approximately A) Rs. 17567 B) None C) Rs. 12985 D) Rs. 19274

Description : Mano, kajal, kavin enter into partnership. Mano invests some money at the beginning kajal invests double the amount for 8 months and kavin invests thrice the amount for 10 months. If the annual profit be Rs.35000 then kavin’s share is approximately A) Rs. 17567 B) None C) Rs. 12985 D) Rs. 19274

Last Answer : Answer: B) Let mano’s investment be Rs x Then Ratio of capitals = (x*12) : (2x:8) : (3x*10) = 12x : 16x : 30x = 6:8: 15 Kavin’s share = Rs.(35000*15/29) = Rs.18103.

Two persons Ashok and Amit enter into a business. Ashok invests Rs 12500 in the first time and after 6months withdraws Rs 7000. Amit withdraws Rs 3000 after 8 months. Both have equal profit at the end of the year. What is the amount invested by Amit initially? A) 15000 B) 20000 C) 10000 D) 16000

Description : Two persons Ashok and Amit enter into a business. Ashok invests Rs 12500 in the first time and after 6months withdraws Rs 7000. Amit withdraws Rs 3000 after 8 months. Both have equal profit at the end of the year. What is the amount invested by Amit initially? A) 15000 B) 20000 C) 10000 D) 16000

Last Answer : Answer: C)  Ashok’s investment =12500*6+5500*6=108000  Amit’s investment=x*8+(x-3000)*4  108000=8x+4x-12000=>X=Rs 10000  Amount invest by Amit is Rs 10,000

A, B and C are 3 partners in a business. Their investments are respectively Rs 2000, Rs 4,000 and Rs 3,000. A gets 30% of total profit for managing the business. The remaining profit is divided among them in the ratio of their investments. At the end of the year, the profit of Ais Rs 1100 less than the sum of the profit of B and C. What amount of income will C get? A) Rs 2100.75 B) Rs 2887.5 C) Rs 2705.75 D) Rs 2546.25

Description : A, B and C are 3 partners in a business. Their investments are respectively Rs 2000, Rs 4,000 and Rs 3,000. A gets 30% of total profit for managing the business. The remaining profit is divided among them in the ratio ... of income will C get? A) Rs 2100.75 B) Rs 2887.5 C) Rs 2705.75 D) Rs 2546.25

Last Answer : Answer: B) The ratio of profit of A, B and C is 2000:4000:3000=2:4:3. Let the annual profit be P. Then, A will get 0.3p for managing the business. And, remaining 0.7p will be distributed in the ratio of their ... ⇒ 7/9 0.7p−2/9 0.7p−0.3p=1100 ⇒ p=12,375 So, C's share=3/9 0.7p=Rs 2887.5

A and B enter into a partnership. A contributes Rs. 16,000 and B Rs. 12,000. At the end of 6 months C joins them with a capital of Rs. 20,000. In what ratio should they divide their annual profit? a) 8:6:5 b) 4 :3 :5 c) 5:6:8 d) 5:3:4 e) 5:7:8

Description : A and B enter into a partnership. A contributes Rs. 16,000 and B Rs. 12,000. At the end of 6 months C joins them with a capital of Rs. 20,000. In what ratio should they divide their annual profit? a) 8:6:5 b) 4 :3 :5 c) 5:6:8 d) 5:3:4 e) 5:7:8

Last Answer : a) 8:6:5

Jaya and sona invested amount of Rs 10000 and Rs 5000 respectively in their business. What percentage of the share of the profit that should be given to Jaya such that ratio of income is equal for both at the end of year? A) 5 B) 7 C) 4 D) 6

Description : Jaya and sona invested amount of Rs 10000 and Rs 5000 respectively in their business. What percentage of the share of the profit that should be given to Jaya such that ratio of income is equal for both at the end of year? A) 5 B) 7 C) 4 D) 6

Last Answer : Answer: C)  Ratio of invest of jaya & sona =10000:5000 =2:1  Income of both at end of year is equal, then  Income is divided into 50 parts. Income be 100%, then 1st part =25 ,2 nd part=25, Percentage=100/25=4%

X, Y, Z started a business by investing Rs.60,000, Rs.70,000 and Rs.80,000 respectively. Find the share of each out of an annual profit of Rs.28350 A) 8000, 9367, 11800 B) 8500, 9400, 11000 C) 8308, 9530, 10346 D) 8100, 9450, 10800

Description : X, Y, Z started a business by investing Rs.60,000, Rs.70,000 and Rs.80,000 respectively. Find the share of each out of an annual profit of Rs.28350 A) 8000, 9367, 11800 B) 8500, 9400, 11000 C) 8308, 9530, 10346 D) 8100, 9450, 10800

Last Answer : Answer: D) Ratio of shares = 60,000 : 70,000 : 80,000 = 6 : 7 : 8 A’s share = Rs(28350 *6/21) = Rs.8100 B’s share = Rs(28350 * 7/21) = Rs.9450 C’s share = Rs (28350* 8/21) = Rs. 10,800

X, Y, Z started a business with their investment in the ratio of 4/5: 4/7: 5/9, after 6months. X has withdrawn half of his investment. Also X will get 30% of profit for being an active partner. At the end of a year total profit earned was Rs. 54750. Then find the total profit earned by Y and Z? A) 25200 B) 28600 C) 25010 D) 26867

Description : X, Y, Z started a business with their investment in the ratio of 4/5: 4/7: 5/9, after 6months. X has withdrawn half of his investment. Also X will get 30% of profit for being an active partner. At the ... Rs. 54750. Then find the total profit earned by Y and Z? A) 25200 B) 28600 C) 25010 D) 26867

Last Answer : Answer: C) Let investment of X, Y, Z be 4/5 x,4/7x &5/9 x =>252x, 180x & 175x Profit ratio of X, Y, Z is 252x*6+126x*6:180x*12 :175x *12 =189:180:175 Active partner X's amount= ... 30/100 =Rs.16425 Remaining profit =54750-16425 =Rs.38325 Total profit earned by Y*Z= 38325*355/544 =Rs. 25010

Gowtham started a business, investing Rs.25000. After 4 months and 5 months respectively, Rithick and Sudhir joined him with capitals of 15000 and 12000. At the end of the year the total profit was Rs.4632. What is the difference between Rithick’s and Sudhir’s share in the profit approximately?

Description : Gowtham started a business, investing Rs.25000. After 4 months and 5 months respectively, Rithick and Sudhir joined him with capitals of 15000 and 12000. At the end of the year the total profit was Rs.4632. What is the difference between Rithick’s and Sudhir’s share in the profit approximately?

Last Answer : Gowtham investment =25000*12=3000000 Rithick investment = 15000*8 =120000 Sudhir investment = 12000*7 =84000  Ratio of their investment= 25:10:7  The difference between Rithick’s and Sudhir’s share=3  That is= 4632*3/42 = Rs 331 (approx.)

Two persons P and Q invested in a business with 21 lakh and 28 lakh rupees. They agree that 30% of the profit should be in tha ratio 2:3 for P and Q and rest is divided between them according to their investment. If Q got Rs.1200 more than P, then then total profit Q is A) 4350 B) 4567 C) 4467 D) None

Description : Two persons P and Q invested in a business with 21 lakh and 28 lakh rupees. They agree that 30% of the profit should be in tha ratio 2:3 for P and Q and rest is divided between them according to their investment ... got Rs.1200 more than P, then then total profit Q is A) 4350 B) 4567 C) 4467 D) None

Last Answer : Answer: A)  Ratio of profit of P&Q is,  P:Q=21:28 => 3:4  Let total profit gained be X  Since ,30% of profit should be divided in ratio 2:3 for P&Q, Remaining share is =70% of x  P's share =70/100 *x* ...  =1200  X =Rs 7500  Q's total profit =70/100 *7500 *4/7 + 30/100 *7500*3/5  =Rs 4350

Ajay and vijay entered into business with capital in ratio of 5:7.after 5 months Ajay withdraws 4/7 th of his capital and vijay withdraws 2/7th of his capital. At the end of 8months there was a profit of Rs 4470. Then find the profit A) 3678. B) 2000. C) 4000. D) 1500

Description : Ajay and vijay entered into business with capital in ratio of 5:7.after 5 months Ajay withdraws 4/7 th of his capital and vijay withdraws 2/7th of his capital. At the end of 8months there was a profit of Rs 4470. Then find the profit A) 3678. B) 2000. C) 4000. D) 1500

Last Answer : Answer: B) Profit ratio of Ajay & vijay, 5x*5+3x*3 :7x*5+5x*3 =34:50=17:25 Profit of vijay =3360/42 *25 =Rs 2000

Arun started a business with Rs. 40,000 and is joined afterwards by Arul with Rs.60, 000. After how many months did Arul join if the profits at the end of the year are divided equally? a) 3 b) 4 c) 5 d) 6 e) 2

Description : Arun started a business with Rs. 40,000 and is joined afterwards by Arul with Rs.60, 000. After how many months did Arul join if the profits at the end of the year are divided equally? a) 3 b) 4 c) 5 d) 6 e) 2

Last Answer : b Suppose, Arul joined after x months.  Then, 40000 * 12 = 60000 * (12 – x) => 48 = 72 - 6x => 6x = 24 → x = 4

Ashok being the sleeping partner receives 1/10th of profit and the remaining is divided between pramod and prakash in the ratio of 1:2..If the difference between the profit shares of Ashok and Prakash is Rs.2000.What is pramod’s share in Rs.? A.Rs.1800 B.Rs.2200 C.Rs.1200 D.Rs.1500

Description : Ashok being the sleeping partner receives 1/10th of profit and the remaining is divided between pramod and prakash in the ratio of 1:2..If the difference between the profit shares of Ashok and Prakash is Rs.2000.What is pramod’s share in Rs.? A.Rs.1800 B.Rs.2200 C.Rs.1200 D.Rs.1500

Last Answer : Answer:- C (1200) Explanation:- let total profit =x ashok's share in profit is (1/10)x remaining profit = x= (1/10)x= (9/10)x pramod's share= 1/3 x (9/10)x = (3/10 )x Prakash's share= 2/3 ... /10)x = (5/10)x 5/10 x = 2,000 so, x= 4000 pramod's share= (3/10) x 4000=1200

Anwar and Bhaskar started a business with investments of Rs.15000 and Rs.24000. At the end of 4 months from the start of the business, both withdrew one-third of their respective capital. Find the ratio of their profits in the total profit at the end of one year. a)1:2 b)3:4 c)4:5 d)5:8

Description : Anwar and Bhaskar started a business with investments of Rs.15000 and Rs.24000. At the end of 4 months from the start of the business, both withdrew one-third of their respective capital. Find the ratio of their profits in the total profit at the end of one year. a)1:2 b)3:4 c)4:5 d)5:8

Last Answer : d)5:8

Divide Rs 1728 among P, Q, R in such way that 8 times P's share is 12times Q's share and is 6 times R's share. How much does each get? A) Rs. 576,384,768 B) Rs. 588,392,484 C) Rs. 592, 384, 652 D) None of the above

Description : Divide Rs 1728 among P, Q, R in such way that 8 times P's share is 12times Q's share and is 6 times R's share. How much does each get? A) Rs. 576,384,768 B) Rs. 588,392,484 C) Rs. 592, 384, 652 D) None of the above

Last Answer : Answer: A)  Given, 8P=12Q=6R  4P=6Q=3R=>4P=6Q=>6/4Q=>P=3/2Q  6Q=3R R=6Q/3=2Q  Then, P+Q+R=1728  3/2Q+Q+2Q=1728  3Q+2Q+4Q=3456  9Q=3456  Q=384  P=3/2Q =3/2*384=576,R=2Q=768  A:B:C=576:384:768

Three partners shared the profit in a business in the ratio 7 :8 :9. They had partnered for 16 months, 10 months and 9 months respectively. What was the ratio of their investments? A) 2286:5599:7643 B) 2346:76543:8754 C) 5643;1254 :2345 D) 2205 :4032:5032

Description : Three partners shared the profit in a business in the ratio 7 :8 :9. They had partnered for 16 months, 10 months and 9 months respectively. What was the ratio of their investments? A) 2286:5599:7643 B) 2346:76543:8754 C) 5643;1254 :2345 D) 2205 :4032:5032

Last Answer :  Answer: D) Let their investments be Rs.x for 16 months, y for 10 months , Z for 9 months Then 16x : 10y :9z = 7:8:9 Now 16x / 10y = 7/8 128x = 70y Y=64/35x 16x/9z = 7/9 144x = 63z Z = 144x/63 X:Y:Z = x:64x/35 :144x/63 X:Y:Z = 2205:4032:5032.

Agalya and Bhairavi enter into a partnership and Agalya invests Rs 14000 in the partnership. At the end of 3months she invests Rs 5000. At the end of another 4 months, she invests the another Rs 6000. If Bhairavi invests a certain sum in the partnership at the beginning of the year and leaves it and receives Rs 9720 as her share if the total of Rs 31320 a year, how much did Bhairavi invest in the company? A) 37850 B) 42500 C) 41400 D) 35478

Description : Agalya and Bhairavi enter into a partnership and Agalya invests Rs 14000 in the partnership. At the end of 3months she invests Rs 5000. At the end of another 4 months, she invests the another Rs 6000. If ... year, how much did Bhairavi invest in the company? A) 37850 B) 42500 C) 41400 D) 35478

Last Answer : Answer: C)  Let investment of Bhairavi be X rupees for 12 months  Agalya’s investment for 12 months =14000*3+5000*4+6000*5  =Rs 92000  Share received by Bhairavi = Rs 9720  Share received by Agalya =Rs 21600  Ratio of their profit 92000/X=21600/9720  X=Rs 41400

A, B and C rent a land. A puts 10 tractors for 7 months, B puts 12 tractors for 5 months and C puts 15 tractors for 3 months . If the rent of the land is Rs. 175000, how much must C pay as his share of rent? A.45000 B.50000 C.57000 D.64000

Description : A, B and C rent a land. A puts 10 tractors for 7 months, B puts 12 tractors for 5 months and C puts 15 tractors for 3 months . If the rent of the land is Rs. 175000, how much must C pay as his share of rent? A.45000 B.50000 C.57000 D.64000

Last Answer : Answer – A (45000) Explanation – A : B : C = 10 x 7 : 12 x 5 : 15 x 3 = 70 : 60 : 45 = 14 : 12 : 9. ∴ C’s rent = Rs. [175000 x 9/35] = Rs. 45000.

3 people A, B, C invested in a business in the ratio of 5:6:9. After 3months B withdraw half of her capital. If the Sum invested by A is 32000, then what is the profit earned by B at the end of the year out of the total profit of Rs. 48250? A) 17965.33 B) 70767.50 C) 46189.25 D) 10193.66

Description : 3 people A, B, C invested in a business in the ratio of 5:6:9. After 3months B withdraw half of her capital. If the Sum invested by A is 32000, then what is the profit earned by B at the end of the year out of the total profit of Rs. 48250? A) 17965.33 B) 70767.50 C) 46189.25 D) 10193.66

Last Answer : Answer: D) Let A, B, C put amounts be 5x,6x,9x respectively Then A's investment is 5x=32000=> x=Rs.6400 Then, B, C puts amount is Rs.38400 & 57600 =32000*12 : 38400 *3 +19200 * 9:57600*12 =>384000:288000:691200 =20:15:36 B’s profit is 48250* 15/71 =Rs. 10193.66

L, M and N started a business in which L invested Rs.15000/- for 2year, M invested Rs 25000/- for 3 years, N invested Rs.35000/- for 4 years. At the end of the profit received by them is Rs.9800/-. What is N’s share?. A) 5600 B) 5000 C) 5500 D) 4500

Description : L, M and N started a business in which L invested Rs.15000/- for 2year, M invested Rs 25000/- for 3 years, N invested Rs.35000/- for 4 years. At the end of the profit received by them is Rs.9800/-. What is N’s share?. A) 5600 B) 5000 C) 5500 D) 4500 

Last Answer : Answer: A) L = Rs.15000/- per 2 years M= Rs.25000/- per 3 years N = Rs.35000/- per 4 years = 15000 2 : 25000 3 : 35000 4 =30000:75000:140000=30:75:140 =6:15:28 Total = 49 parts -----> Rs. ... )  = 1 part ------> Rs.200/- Then, N's share is = 28 parts = Rs.200 28 parts  = Rs.5600