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 :OptionsRs 9,726Rs 6,484Rs 7,272Rs 8,105
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 :OptionsRs 9,726Rs 6,484Rs 7,272Rs 8,105
Solution
Let's solve this step by step:
Step 1: Let's assume the investment of A as 'a', B as 'b' and C as 'c'. According to the problem, we have the following equations:
3a = 2b (Thrice the investment of A is equal to twice the investment of B)
3a = 4c (Thrice the investment of A is also equal to four times the investment of C)
Step 2: From these equations, we can derive the ratio of the investments of A, B and C.
a : b : c = 1/3 : 1/2 : 1/4
To simplify this, we multiply each term by the least common multiple of 3, 2, and 4, which is 12.
a : b : c = 4 : 6 : 3
Step 3: Now, we know that the profit is divided in the ratio of their investments. So, the share of C in the profit is 3 parts out of the total 13 parts (4+6+3).
Given that C’s share out of the total profit is Rs 4863, we can find the value of each part.
1 part = 4863 / 3 = Rs 1621
Step 4: Now, to find the share of A in the profit, we multiply the value of 1 part by the number of parts A has (which is 4).
A's share = 4 * 1621 = Rs 6484
So, the share of A in the profit is Rs 6484.
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