A, B and C started a business in which B and Care sleeping partners. They invested Rs. 4000, 3000 and 7000 respectively for a period of 1 year. A is paid 10% of the profit as compensation for his work, and the rest is shared in the ratio of their investments. If A receives a profit of Rs. 6000 as his profit
share, find out the amount that B and C together receive
(a) 9000
(b) 7500
(c) 9600
(d) 10800
Answers
Given :-
- A invest = Rs.4000 for 1 year.
- B invest = Rs.3000 for 1 year.
- C invest = Rs.7000 for 1 year.
- A is paid 10% of the profit as compensation for his work .
- A receives a profit of Rs. 6000 as his profit share .
To Find :-
- Find out the amount that B and C together receive ?
Solution :-
we know that,
- Profit is distributed in the ratio of their (investment * Time) .
so,
→ Ratio of Profit :- A : B : C = (4000 * 1) : (3000 * 1) : (7000 * 1) = 4 : 3 : 7 .
now, Let us assume that, Total profit was Rs.100x .
then,
→ As compensation A recieved = 10% of 100x = (100x * 10)/100 = Rs.10x .
so,
→ Left profit = 100x - 10x = Rs.90x .
and , out of this profit,
→ A recieved = (4/14) * 90x = Rs.(180x/7)
therefore,
→ A total received = 10x + (180x7)
→ (70x + 180x)/7 = 6000
→ (250x/7) = 6000
→ 250x = 6000 * 7
→ 25x = 4200
→ x = 168 .
hence,
→ Total Profit = 100x = 168 * 100 = Rs.16,800 .
∴
→ (B + C) together received = Total profit - Profit of A = 16800 - 6000 = Rs.10,800 (D) (Ans.)
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