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 X has withdrawn half of his investment.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

1 Answer

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= 54750*30/100

=Rs.16425

Remaining profit =54750-16425

=Rs.38325

Total profit earned by

Y*Z= 38325*355/544 =Rs. 25010

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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

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

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.

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

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

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

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