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

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
by

1 Answer

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 = 36000 : 12000 : 24000 = 3 : 1 : 2

From 3, we will get total Profit = 500

Now from the ratio and total profit we can get Share of R.

R share will be = 500 * 2/6 = 166.66
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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

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Last 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.

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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

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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

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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

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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

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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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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, 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

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

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

Three partners A, B, C invest a total sum of Rs,114000. At the end of the year A gets Rs 6000 and B gets 5000 and C gets Rs 8000 as profit. Find the average amount invested by A and C. A) 46677 B) 42000. C) 53000. D) None

Description : Three partners A, B, C invest a total sum of Rs,114000. At the end of the year A gets Rs 6000 and B gets 5000 and C gets Rs 8000 as profit. Find the average amount invested by A and C. A) 46677 B) 42000. C) 53000. D) None

Last Answer : Answer: B)  Profits of A,B &C is 6000,5000, 8000 rupees  Ratio of their profits is, A:B:C =6:5:8 Investment of A,B,C be 6x,5x,8x 6x+5x+8x=114000 =>x=6000 Average amount invested by A &C is 6000/2 *14 =Rs.42000

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.

P and Q established a shop. P puts 7 times that of Q. Q also kept the amount puts for 5 as much time as P. If Q got a profit of Rs.12360. What was the total profit? A) 25748 B) 27856 C) 29664 D) 28458

Description : P and Q established a shop. P puts 7 times that of Q. Q also kept the amount puts for 5 as much time as P. If Q got a profit of Rs.12360. What was the total profit? A) 25748 B) 27856 C) 29664 D) 28458

Last Answer : Answer: C) Let amount put by Q be A Let amount put by P be 7A Let amount time of P be T Let amount time of Q is 5T Ratio of P &Q  7A*T:A*5T=>7:5 Total received amount =12360/5*12=29664

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

M and N invested in a work which M invest Rs 3015 more than N. N invested for 7 months while M invested for 5 months. If M gets Rs 425 more than N, out of a total profit of Rs 3400. Then the amount invested in the business by M approximately is, A) 6784 B) 6258 C) 7524 D) 7275

Description : M and N invested in a work which M invest Rs 3015 more than N. N invested for 7 months while M invested for 5 months. If M gets Rs 425 more than N, out of a total profit of Rs 3400. Then the amount invested in the business by M approximately is, A) 6784 B) 6258 C) 7524 D) 7275

Last Answer : Answer: A)  Let investment of N be x  Profit of N be y  Investment of M is x+3015  Profit ratio of M&N is,  M:N =[x+3015]*5:x*7-------->(1)  Profit of M =425 +profit of N  Total profit =3400 =425 ... ---->(2)  153/119=(x+3015)*5/x*7  X=Rs.3769  M's investment =x+3015  =3769+3015  =Rs6784

Anu and Banu invested rupees Rs.26000 and Rs.22000 respectively. Anu being an active partner will get Rs.350 every month extra for running the business. In two years if Anu receives a total of Rs. 18000, then what is profit earned by Banu in two years. A) 2200 B) 3300 C) 4400 D) None

Description : Anu and Banu invested rupees Rs.26000 and Rs.22000 respectively. Anu being an active partner will get Rs.350 every month extra for running the business. In two years if Anu receives a total of Rs. 18000, then what is profit earned by Banu in two years. A) 2200 B) 3300 C) 4400 D) None

Last Answer : Answer: C)  Profit ratio at Anu &Banu is ,  Anu: Banu=26000 :22000.  Anu :Banu =13:11  Anu being an active e partner will get Rs 350 / every month. 2 years receive = Rs. 8400 Balance amount of Anu =18000 -8400 = 9600 Profit gained Banu in 2 years =9600/24 *11 = Rs.4400

Four persons rented a grassland. P grazed 48 goats for 3 months, Q grazed 20 goats for 5 months, R grazed 70 goats for 4 months and S grazed 42 goats for 3 months. If p’s share of rent is Rs.1420. Find the total rent of the field? A) 6410 B) 6200 C) 6400 D) 6300

Description : Four persons rented a grassland. P grazed 48 goats for 3 months, Q grazed 20 goats for 5 months, R grazed 70 goats for 4 months and S grazed 42 goats for 3 months. If p’s share of rent is Rs.1420. Find the total rent of the field? A) 6410 B) 6200 C) 6400 D) 6300

Last Answer : Answer: A) Ratio of shares P,Q, R, S = 48*3 : 20 *5 : 70*4 :42*3 = 144 : 100: 280 : 126 = 72:50:140:63 Let total rent be Rs x Then P’s share = Rs. 72x/325 72x /325 = 1420 X = Rs.6410

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

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

Durga invested Rs X for 5 months and Y for remaining time. Moushsree invested Rs Y for 9.months and X for the remaining time. At the end of the year profits are in the ratio 4:5. Then find what % of X is Y? A) 6.2 % B) 7.69% C) 5.25% D) 3.2%

Description : Durga invested Rs X for 5 months and Y for remaining time. Moushsree invested Rs Y for 9.months and X for the remaining time. At the end of the year profits are in the ratio 4:5. Then find what % of X is Y? A) 6.2 % B) 7.69% C) 5.25% D) 3.2%

Last Answer : Answer: B)  Durga investment =5X+7Y  Moushsree investment =9Y+3X  (5X+7Y)/(9Y+3X)=4/5  X/Y=1/13 *100=7.69%

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 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

Description : 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 

Last 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 ... :6:8 1month share =840/12=Rs .70 Average monthly profit of X, Y, Z=70/3 *21 =Rs.490

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.

An amount of money is to be distributed among P, Q and R in the ratio of 5:4:7 respectively. If the total share of P and R is 3 times the share of Q, what is definitely Q’s share? a) 2000 b) 4000 c) 6000 d) Data inadequate e) None of these

Description : An amount of money is to be distributed among P, Q and R in the ratio of 5:4:7 respectively. If the total share of P and R is 3 times the share of Q, what is definitely Q’s share? a) 2000 b) 4000 c) 6000 d) Data inadequate e) None of these

Last Answer : Answer: D 

P , Q, R hired a van for Rs. 640 and used it for 11,12,13 hours respectively. Hire changes paid by Q were. A) 213 B) 312 C) 123 D) 412

Description :  P , Q, R hired a van for Rs. 640 and used it for 11,12,13 hours respectively. Hire changes paid by Q were. A) 213 B) 312 C) 123 D) 412

Last Answer : Answer: A) P : Q : R = 11 : 12 : 13 Hire changes paid by Q = Rs.(640 * 12/36) = Rs. 7680 / 36 = Rs.213 (approx.)

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.

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

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

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 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%

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%

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

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

Last Answer : Answer: C)  A &B ratio =7:9 B & A post ratio = 9:7 A & C post ratio=5:11 A:B:C = 45:35:77 Amount received by B =35/157*12750=Rs.2842