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

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
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1 Answer

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
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Description : In a work A and B invested amounts in the ratio 7:9, whereas the ratio between amounts invested by A and C was 5:11. If Rs. 12750 was their profit, how much amount did B gained? a) 2546 b) 2475 c) 2842 d) 2656

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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

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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

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

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, 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

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

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

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.)

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, 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

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.

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 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 company M and O invested amount in the ratio 3 : 2 whereas the ratio between amounts invested by M and N was 4 : 3. If Rs.1,80,000 was their profit, how much did N receive?(calculate approximate value) A) 75432 B) 74483 C) 76854 D) 76443

Description : In a company M and O invested amount in the ratio 3 : 2 whereas the ratio between amounts invested by M and N was 4 : 3. If Rs.1,80,000 was their profit, how much did N receive?(calculate approximate value) A) 75432 B) 74483 C) 76854 D) 76443

Last Answer : Answer: B) M : O = 3:2 O: M= 2:3 = 8:12 M:N = 4 :3 =12:9 O:M:N = 8:12:9 Therefore N’s share = Rs (1,80,000 * 12/29) =Rs(2160000/29) = Rs.74483(approx.)

X, Y, Z started a business by a share of 8:6:9. The time for which they invested was 6:7:8. The difference in the profit of X and Z is what % of difference in the profit of Zand Y? A) 65 B) 80 C) 55 D) 75

Description : X, Y, Z started a business by a share of 8:6:9. The time for which they invested was 6:7:8. The difference in the profit of X and Z is what % of difference in the profit of Zand Y? A) 65  B) 80 C) 55 D) 75

Last Answer : Answer: B)  Ratio of investment =8:6:9  Ratio of time =6:7:8  Ratio of X,Y,Z=48:42:72  =8:7:12  (X-Z)/(Z-Y) = 4/5 *100 =80%

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

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

Ravi and kavi are partners in a business. Ravi contributes 3/7th of the total capital for 20 months and kavi received 3/4 th of the profit. Then how long kavi invest the money in the business? A) 5 B) 11 C) 6 D) 9

Description : Ravi and kavi are partners in a business. Ravi contributes 3/7th of the total capital for 20 months and kavi received 3/4 th of the profit. Then how long kavi invest the money in the business? A) 5 B) 11 C) 6 D) 9

Last Answer : Answer: A)  Total profit be X  kavi’s profit is 3/4x  Ravi’s profit is 1/4x Ratio of ravi & kavi profit =3/4 x: 1/4x=3:1  Let Ravi's investment =3/7 *P(for 20 months then, kavi’s investment =4/7 P)  Ratio of ravi & kavi  Profit =3:1=3/7*P*20 :4/7*p*T  T=5 months= kavi investment time

Tarani and Ruba invest in a business ratio 7:8. If 24% of the total profit goes to charity and Ruba 's share is Rs 1506. Then then profit goes to Tarani and Ruba is A) 1675 B 2688 C) 2823 D) 1495

Description : Tarani and Ruba invest in a business ratio 7:8. If 24% of the total profit goes to charity and Ruba 's share is Rs 1506. Then then profit goes to Tarani and Ruba is A) 1675 B 2688 C) 2823 D) 1495

Last Answer : Answer: C)  Let total profit =X  Balance profit after =76%of X  Ruba’s share =76/100 *x*8/15=1506  X=Rs.3715  Then the profit =3715*76/100=Rs2823

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

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.

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