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

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
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1 Answer

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
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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

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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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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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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

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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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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

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

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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

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

Two people abi and krish invested in a business with 7 lakh and 8 lakh rupees respectively. They agree that 46% of the profit should be divided equally among them and rest is divided between them according to their investment. If krish got Rs. 2100 more than abi, Then the total profit is, A) 55000 B) 56000. C) 58333 D) None

Description : Two people abi and krish invested in a business with 7 lakh and 8 lakh rupees respectively. They agree that 46% of the profit should be divided equally among them and rest is divided between them according to their ... more than abi, Then the total profit is, A) 55000 B) 56000. C) 58333 D) None

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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

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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

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

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.

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

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.

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.)

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%

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

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

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

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

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, 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

L, M, N enter into a partnership work with L receives Rs. 54000. If out of a total profit of Rs. 4500. L gets Rs. 1500 and M gets Rs.2100. N gets Rs.900, then M capital is a) 70500 b) 75600. c) 72700 d) 74900

Description : L, M, N enter into a partnership work with L receives Rs. 54000. If out of a total profit of Rs. 4500. L gets Rs. 1500 and M gets Rs.2100. N gets Rs.900, then M capital is a) 70500 b) 75600. c) 72700 d) 74900

Last Answer : Answer: B) Profit ratio is L:M:N=1500:2100:900 L:M:N=5:7:3. Let L,M,N be 5x,7x,3x L’s receives,5x=54000,x =10800 M’s receives,7 *10800 = Rs.75600

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

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

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

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

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

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.

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.