A, 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
A, 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 total ratio is 4+6+3 = 13.
Given that C's share out of the total profit is Rs 4863, we can find the value of each unit of the ratio.
So, 3 (C's ratio) units = Rs 4863
Therefore, 1 unit = Rs 4863 / 3 = Rs 1621
A's share is then 4 (A's ratio) units * Rs 1621/unit = Rs 6484.
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