X invested three- nineth, Y invested three-seventh of the remaining and Zth remaining. If Y earned Rs.840 as profit pr each year. Find the average monthly profit of all. A) 510 B) 490 C) 630 D) 370

X invested three- nineth, Y invested three-seventh of the remaining and Zth remaining. If Y earned Rs.840 as profit pr each year. Find the average monthly profit of all. A) 510 B) 490 C) 630 D) 370 
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1 Answer

Answer :

Answer: B)

Let total amount puts by X, Y& Z be P

X’s investment = 3/9 P

Balance investment =6/9 p

Y’s investment =6/9*P*3/7=2/7 P

Remaining investment =8 p/21 =Z’s amounts

Profit ratio of X,Y &Z,

X:Y:Z=3/9 *P:2/7 *P:8/21*p=7:6:8

1month share =840/12=Rs .70

Average monthly profit of X, Y, Z=70/3 *21

=Rs.490


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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

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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

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

Sharuk being the active partner receives 3/5th of profit and the remaining is divided between sanjay and Karthi in the ratio of 2:1. If the difference between the profit shares of Sharuk and sanjay is Rs.3400. What is Karthi share in Rs? A) 1540 B) 1360 C) 1698 D) None

Description : Sharuk being the active partner receives 3/5th of profit and the remaining is divided between sanjay and Karthi in the ratio of 2:1. If the difference between the profit shares of Sharuk and sanjay is Rs.3400. What is Karthi share in Rs? A) 1540 B) 1360 C) 1698 D) None

Last Answer : Answer: B) Total profit =Y Sharuk’s share =3/5 * Y Balance share =2/5 * Y  Share of sanjay =2/5 *Y*2/3 =4/15 * Y Difference of sanjay & Sharuk share, 3/5* Y- 4/15* Y =3400 =>Y= Rs 10200 Karthi share =2/5 *10200 *1/3 =1360

R being the silent partner contributes 2/9 th of profit and the remaining is divided between S and T in the ratio of 7:5. If the difference between the profit shares of R and T is Rs.6600. What is the S’s share? a) 27900 b) 28000 c) 29400 d) 26889

Description : R being the silent partner contributes 2/9 th of profit and the remaining is divided between S and T in the ratio of 7:5. If the difference between the profit shares of R and T is Rs.6600. What is the S’s share? a) 27900 b) 28000 c) 29400 d) 26889

Last Answer : Answer: C) Let total profit be x R’s share =2/9*x Balance share =7/9 *x Share of T=7/9 *x*5/12=35/108*x Difference of R &T is, 35/108*X-2/9 *x=6600=>x=64,800 Share of S =7/9*64800*7/12 =Rs.29400.

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.

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

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

In a business, X,Y and Z inversed Rs.20,000/-,Rs.30,000/- and Rs.40,000/- respectively. After 1 year X adds Rs.10000/- to the initial investment.Y and Z withdrew Rs.10000/- and Rs.15,000/- respectively. After 2 years the total profit is Rs.9900/-. What is X’s share?. A) 3000 B) 2700 C) 3600 D) 4000

Description : In a business, X,Y and Z inversed Rs.20,000/-,Rs.30,000/- and Rs.40,000/- respectively. After 1 year X adds Rs.10000/- to the initial investment.Y and Z withdrew Rs.10000/- and Rs.15,000/- respectively. After 2 years the total profit is Rs.9900/-. What is X’s share?. A) 3000 B) 2700 C) 3600 D) 4000

Last Answer : Answer: A)  X's Share = Rs.20000/- per first 1 year, Next year 10000/- added = Rs.20000/- 1 + Rs.30000/- 1 = Rs.50000/- Y's Share = Rs.30000/- per first 1 year, Next year 10000/- reduced = Rs.30000 ... /-  1 part------> Rs300/- Then, X's share is 10 parts = Rs.300/- 10 parts = Rs.3000/-

Murugan, Anwar, Joseph started a business by a share of 7:8:9. The time for which they invested was 4:2:3. The difference in the profit of Murugan and Joseph is what % of Anwar? A) 7.5 B) 8.2 C) 6.4 D) 6.25

Description : Murugan, Anwar, Joseph started a business by a share of 7:8:9. The time for which they invested was 4:2:3. The difference in the profit of Murugan and Joseph is what % of Anwar? A) 7.5 B) 8.2 C) 6.4 D) 6.25

Last Answer : Answer: D)  Ratio of investment =7:8:9  Ratio of time=4:2:3  Ratio of profit =28:16:27 = (Joseph - Murugan)/ Anwar =(28-27)/16*100  =6.25%

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

The monthly income of M and N is in the ratio 5:3 and their expenses in the ratio 4:2. Both of them save Rs. 12000 each. Find the monthly income of M A) 68000 B) 72000 C) 60000 D) 64000

Description : The monthly income of M and N is in the ratio 5:3 and their expenses in the ratio 4:2. Both of them save Rs. 12000 each. Find the monthly income of M A) 68000 B) 72000 C) 60000 D) 64000

Last Answer : Answer: C)  Income ratio of M=5x  Income ratio of N=3x  Savings of M=12000  Savings of N=12000  Expense of M=5x-12000  Expense of N =3x-12000  Expense order in ration 4:2  5x-12000:3x-12000=4:2  X=12000  M’s income =5x=5*12000  =60000

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

X, Y, Z are becomes a partner in their business with X's share receives Rs.117000. If out of a total profit of Rs 8100,X gets Rs.3900 and Y gets Rs. 2700, Z gets Rs.1500 then total capital of Y and Z is, A) 36900 B) 146000 C) 126000 D) 247000

Description : X, Y, Z are becomes a partner in their business with X's share receives Rs.117000. If out of a total profit of Rs 8100,X gets Rs.3900 and Y gets Rs. 2700, Z gets Rs.1500 then total capital of Y and Z is, A) 36900 B) 146000 C) 126000 D) 247000

Last Answer : Answer: C) Profit ratio is, X:Y:Z=3900: 2700:1500 X:Y:Z =13 :9:5 Then, X,Y,Z capitals are 13x,9x &5x X’s receives amount is, 13x=117000 =>x=9000 Total capital of Y&Z is, =9000*14=126000

X, Y, Z subscribe is Rs.25000 for a business. X subscribes Rs.2000 more than Y and Y Rs.2500 more than Z. out of a total profit of Rs.17500, X receives A) Rs.7700 B) Rs.7490 C) Rs.7350 D) Rs7320

Description : X, Y, Z subscribe is Rs.25000 for a business. X subscribes Rs.2000 more than Y and Y Rs.2500 more than Z. out of a total profit of Rs.17500, X receives A) Rs.7700 B) Rs.7490 C) Rs.7350 D) Rs7320

Last Answer : Answer: C) Let Z = y, then Y = y+2500, X = y+2500+2000 X= y+4500 So y+y+2500+y+4500 = 25000 3y = 18000 => y = 6000 X:Y:Z = 10500: 8500 : 6000 = 105 : 85 : 60 = 21:17 : 12 X’s share = Rs.(17500*21/50) = Rs.7,350

X is a working and Y is sleeping partners in a business. X puts in Rs. 2500 and Y puts in Rs.3000. X receives 25/2% of the profit for managing the business and the rest is divided in proportion to their capital. What does Y get out of a profit of Rs. 440? A) 210 B) 200 C) 250 D) 275

Description : X is a working and Y is sleeping partners in a business. X puts in Rs. 2500 and Y puts in Rs.3000. X receives 25/2% of the profit for managing the business and the rest is divided in proportion to their capital. What does Y get out of a profit of Rs. 440? A) 210 B) 200 C) 250 D) 275

Last Answer : Answer: A) Total profit = Rs. 440 X's share for managing the business i.e 25/2 % = {25/ 100}{440/2}=Rs.55 Remaining profit of X and Y as per their capital = 440 - 55= Rs. 385 Ratio of amounts = 2500 : 3000 ... 5}/{11}= Rs.175 X's total share = 175 + 55= Rs. 230 Y's share = 385{6}/{11}=Rs.210

X invested 13% more than Y's investment. Y invested 18% less than investment of Z. X's investment is what percent of investment made by both Y and Z? A) 47.5. B) 50.9. C) 56.5 D) None

Description : X invested 13% more than Y's investment. Y invested 18% less than investment of Z. X's investment is what percent of investment made by both Y and Z? A) 47.5. B) 50.9. C) 56.5 D) None

Last Answer : Answer: B)  Let investment of Z be 100%  Let Y’s investment is 82%  Also A’s investment is 92.66%  Required % =92.66/182*100= 50.9%

3 partners A , B, C starts a business. 4 times of A's capital is equal to 6 times of B's Capital and B's Capital is 8 times of C's capital if profit of B is Rs.6300. Then find the average profit A and C A) 7000.50 B) 5118.75 C) 4475.25 D) none

Description : 3 partners A , B, C starts a business. 4 times of A's capital is equal to 6 times of B's Capital and B's Capital is 8 times of C's capital if profit of B is Rs.6300. Then find the average profit A and C A) 7000.50 B) 5118.75 C) 4475.25 D) none

Last Answer : Answer: B)  Let the capital of C be y  Let the capital of B be 8y  Let the capital of A be 48y/4=12y  Ratio of their profit is ,  A:B:C = 12y : 8y :y  =12:8:1  Total of A&C =6300/8 *13  =Rs .10237.5  Average profit of A&C  =10237.5/2 =Rs.5118.75

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

Amit sold an article for Rs 630 and earned a profit of 20%. Find the cost price for Amit. 1. Rs 555 2. Rs 535 3. Rs 552 4. Rs 525

Description : Amit sold an article for Rs 630 and earned a profit of 20%. Find the cost price for Amit. 1. Rs 555 2. Rs 535 3. Rs 552 4. Rs 525

Last Answer : 4. Rs 525

Three active partners A, B, C start a work. Twice of A's capital is equal to 6 times of B's capital is nine times C's capital. If B's profit is Rs. 7500. Then find the total profit. a) 30750 b) 30833 c) 45250 d) 32745

Description : Three active partners A, B, C start a work. Twice of A's capital is equal to 6 times of B's capital is nine times C's capital. If B's profit is Rs. 7500. Then find the total profit. a) 30750 b) 30833 c) 45250 d) 32745

Last Answer : Answer: B) The capital of C be y. The capital of B be 9y. The capital of A be 54y/2 = 27y Ratio of A:B:C =27y:9y:y Total =7500/9*37=Rs 30833.

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

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

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 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

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