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

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 
by

1 Answer

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
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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

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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

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In 2000, a part of Rs. 30 lakhs was invested in Company P and the rest was invested in Company Q for one year. The total interest received was Rs. 2.43 lakhs. What was the amount invested in Company P? A. Rs.9 lakh B. Rs.11 lakh C.Rs. 12 lakh D.Rs.18 lakh E. None of these

Description : In 2000, a part of Rs. 30 lakhs was invested in Company P and the rest was invested in Company Q for one year. The total interest received was Rs. 2.43 lakhs. What was the amount invested in Company P? A. Rs.9 lakh B. Rs.11 lakh C.Rs. 12 lakh D.Rs.18 lakh E. None of these

Last Answer : D.Rs.18 lakh

The amounts of P, Q and R in the ratio 3:4:5 and their spending are in the ratio 4:5:6. If P saves 1/6th of his income then then savings of P, Q, R are in the ratio A) 18:11:3. B) 12:13:4. C) 4:11:18. D) None

Description : The amounts of P, Q and R in the ratio 3:4:5 and their spending are in the ratio 4:5:6. If P saves 1/6th of his income then then savings of P, Q, R are in the ratio A) 18:11:3. B) 12:13:4. C) 4:11:18. D) None

Last Answer : Answer: C)  Income of P,Q,R = 3x:4x:5x Expense of 4:5:6=4y:5y:6y.  Savings [income –expenditure]  =3x-4y :4x-5y :5x-6y------->1  Given 3x-4y=x/6  y=17x/24  Sub if (1) is,  =3x-4(17x/24) :4x-5(17x/24) :5x-6(17x/24)  =8x:22x:36x  = 4:11:18

Suja and Madhavi are partners in a business, Suja invests Rs.42000 for 9 months and Madhavi invests Rs.54000 for 12 months. Then, out of a profit of 38750 find suja’s profit? A) Rs.14330 B) Rs.14590 C) Rs.14650 D) Rs.14276

Description : Suja and Madhavi are partners in a business, Suja invests Rs.42000 for 9 months and Madhavi invests Rs.54000 for 12 months. Then, out of a profit of 38750 find suja’s profit? A) Rs.14330 B) Rs.14590 C) Rs.14650 D) Rs.14276

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M and N invested in a business in which M invests Rs.385 more than N. N invested for 9months while M invested for 5months. If M get Rs.65 more than N out of profit of Rs.1350. Then then total amount invested in the business approximately is, A) 1452 B) 7413 C) 6298 D) 5778

Description : M and N invested in a business in which M invests Rs.385 more than N. N invested for 9months while M invested for 5months. If M get Rs.65 more than N out of profit of Rs.1350. Then then total amount invested in the business approximately is, A) 1452 B) 7413 C) 6298 D) 5778

Last Answer : Answer: B)  Let investment of M is X + 385  Let investment of N is X  Profit earned of M&N is,  M/N=(X+385)*5 /x *9-------> (1)  Profit of M =65 +profit of N  Total profit = 1350=65 + ... =(x + 385) *5/(x*9)  X =392.01  Total investment =(392+385)*5+(392*9)  =Rs.7413

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

M, N and O amounted plot. M invests 24 flat for 27months, N invests 18 flat for 24 months and O puts 48 plat for 27 months. If the rent of the plot is Rs.44649 then what is the average amount paid by M & O? a) 18116.5 b) 18265.5 c) 16878.5 d) 12688.5

Description : M, N and O amounted plot. M invests 24 flat for 27months, N invests 18 flat for 24 months and O puts 48 plat for 27 months. If the rent of the plot is Rs.44649 then what is the average amount paid by M & O? a) 18116.5 b) 18265.5 c) 16878.5 d) 12688.5

Last Answer :  Answer: B) Ratio of M, N, O is, 24*27:18*24:48*27 =3:2:6 Amount paid by M&O=44649*3/11+ 44649*6/11 =Rs.36531 Average amount paid by M&O =36531/2 =Rs.18265.5

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

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/-

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

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.

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.)

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

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 friends A, B and C started a business by investing a sum of money in the ratio of 5 : 7 : 6. After 6 months C withdraws half of his capital. If the sum invested by ‘A’ is Rs 40,000, out of a total annual profit of Rs 33,000, C’s share will be a) Rs 9,000 b) Rs 12,000 c) Rs 11,000 d) Rs 10,000 e) None of these

Description : Three friends A, B and C started a business by investing a sum of money in the ratio of 5 : 7 : 6. After 6 months C withdraws half of his capital. If the sum invested by A' is Rs 40,000, out of a total annual ... share will be a) Rs 9,000 b) Rs 12,000 c) Rs 11,000 d) Rs 10,000 e) None of these

Last Answer : Answer: A Sum invested by A , B and C is 5 * 12:7 * 12:6 * 6 + 3 * 6 or 60 : 84 : 54 or 10 : 14 : 9 :: Share of C = ( 9 / 33 ) * 33000 = Rs. 9000

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

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%

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.

Rs.10500 is divided among P, Q and R. So that P receives half as much as Q and Q receives half as much as R. Then then total share of P and R is A) 4500 B) 3000 C) 5000 D) 7500

Description : Rs.10500 is divided among P, Q and R. So that P receives half as much as Q and Q receives half as much as R. Then then total share of P and R is A) 4500 B) 3000 C) 5000 D) 7500

Last Answer : Answer: D)  Let amount received by R is X  Amount received by Q is X/2  Amount received by P is X/4  Profit ratio of  P,Q &R =X/4:X/2:X  =1:2:4  Total share of P&R  =10500*5/7 =Rs 7500

Mahesh and Devi invested Rs.20979 and Rs. 22977 respectively in a business. Devi being an active partner will get Rs.750 every month extra for running the business. In 18 months if Devi received a total amount of Rs.18250, then what is total profit earned by both in one and half years is, A) 26888. B) 22500. C) 22587 D) 25874

Description : Mahesh and Devi invested Rs.20979 and Rs. 22977 respectively in a business. Devi being an active partner will get Rs.750 every month extra for running the business. In 18 months if Devi received a total amount ... profit earned by both in one and half years is, A) 26888. B) 22500. C) 22587 D) 25874

Last Answer : Answer: C) Profit ratio of Mahesh: Devi =20979 :22977=:21:23 Devi is an active partner will get Rs,750/month For 18 months ,she receives Rs.13500 Balance amount of Devi =18250 -13500 =Rs 4750 ... =4750/23 *21 =Rs.4337 Total profit earned by both in one &half years =18250+4337 =Rs 22587

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

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

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.

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

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

A Shop makes a profit of Rs. 85000 of which 15% as paid as taxes. If the rest is divided among the partners A,B,C in the ratio 8:7:6 then the total share of A and B is A) 54780 B) 51607 C) 56803 D) None

Description : A Shop makes a profit of Rs. 85000 of which 15% as paid as taxes. If the rest is divided among the partners A,B,C in the ratio 8:7:6 then the total share of A and B is A) 54780 B) 51607 C) 56803 D) None

Last Answer : Answer: B)  Profit by company =Rs.85000  After paying tax of 15%  Remaining profit =85000*85/100  =Rs 72250  Profit ratio of X, Y, Z  =8:7:6  Total share of X& Y  =72250*15/21  =Rs.51,607