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

1 Answer

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 investment.

So, from the remaining investment, A will get,

=2/(2+4+3)×0.7p=2/9×0.7p

B gets=4/(2+4+3)×0.7p=4/9×0.7p

and c Gets=3/(2+4+3)×0.7p=3/9×0.7p

A's total profit=0.3p+(2/9)×0.7p

Given, at the end of the year, the profit of A is Rs 1100 less than the sum of the profit of B and C

⇒ 4/9×0.7p+3/9×0.7p−1100=0.3p+2/9×0.7p

⇒ 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

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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

Description : A started a business with Rs. 21,000 and is joined afterwars by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally? A.8 months B.2 months C.5 months D.7 months

Last Answer : Answer – C (5 months) Explanation – let B joined after x months Then, 21000 x 12 = 36000 x (12 – x)36 = 180x = 5Hence, B joined after 5 months

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

Description : 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

Last Answer : Answer: C)  Ashok’s investment =12500*6+5500*6=108000  Amit’s investment=x*8+(x-3000)*4  108000=8x+4x-12000=>X=Rs 10000  Amount invest by Amit is Rs 10,000

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%

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