Select the 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 :OptionsRs 7,272Rs 8,105Rs 9,726Rs 6,484
Question
Select the 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 :OptionsRs 7,272Rs 8,105Rs 9,726Rs 6,484
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 ratio of their investments is:
a : b : c = 1/3 : 1/2 : 1/4
To simplify this ratio, we can multiply each term by the least common multiple of 3, 2, and 4, which is 12. This gives us:
a : b : c = 4 : 6 : 3
So, the total parts of the investment are 4 + 6 + 3 = 13 parts.
Given that C's share of the total profit is Rs 4863, and C's investment is 3 parts, each part of the investment yields a profit of 4863 / 3 = Rs 1621.
Therefore, A's share of the profit, which corresponds to 4 parts, is 4 * 1621 = Rs 6484.
So, the correct answer is Rs 6,484.
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