Question

A, B, and C started a business with Rs 60,000. Amount invested by 'A' and 'C' together is twice that of 'B', while the amount invested by 'A' and 'B' together is thrice that of 'C'. 'A' invested for 6 months, 'B' for 9 months, and 'C' for a year. Find the share of 'B' (in Rs) out of the total profit of Rs 3400.

Answer 1

Explanation:

Let the amount invested by A, B, and C be denoted by a, b, and c respectively.

From the given information,

a + b + c = 60000 ---(1)

a + c = 2b ---(2)

a + b = 3c ---(3)

Multiplying equation (2) by 3 and equation (3) by 2, we get:

3a + 3c = 6b

2a + 2b = 6c

Adding these two equations, we get:

5a + 5b + 5c = 0

a + b + c = 0

This is not possible as the sum of the investments cannot be zero. Therefore, there must be an error in the problem statement.

Without further information or correction, it is not possible to find the share of B in the profit.