e correct answerA, B and C started a business. Thrice the investment of A is equal to twice the investment of B and also equal to four times the investment of C. If C’s share out of the total profit is Rs 4863, then the share of A in the profit is :
Question
e correct answerA, B and C started a business. Thrice the investment of A is equal to twice the investment of B and also equal to four times the investment of C. If C’s share out of the total profit is Rs 4863, then the share of A in the profit is :
Solution
Let's denote the investments of A, B, and C as a, b, and c respectively.
From the problem, we know that:
3a = 2b = 4c
This implies that the investments of A, B, and C are in the ratio 4:6:3.
The problem also tells us that C's share of the total profit is Rs 4863. Since the distribution of profit is directly proportional to the investment, we can say that:
C's share / C's investment = Total profit / Total investment
Substituting the given values, we get:
4863 / 3 = Total profit / 13
Solving for Total profit, we get:
Total profit = 4863 * 13 / 3 = Rs 20841
Now, we can find A's share of the profit by multiplying the total profit by the ratio of A's investment to the total investment:
A's share = Total profit * (A's investment / Total investment)
Substituting the known values, we get:
A's share = 20841 * (4 / 13) = Rs 6412
So, A's share of the profit is Rs 6412.
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