To solve this problem, we need to understand that the profit share of each person is directly proportional to the product of the money they invested and the time for which they invested.

Given that M, N, and P share the profit in the ratio 6:9:5.

Let's assume that P was involved for 'x' months.

M was involved for 12 months, N was involved for 12 - 3 = 9 months, and P was involved for 'x' months.

So, the ratio of their investments multiplied by the time they were involved is:

M's share = 4000 * 12 : N's share = 8000 * 9 : P's share = 20000 * x

This should be equal to the ratio of their profit shares, which is 6:9:5.

So, we have:

(4000 * 12) / 6 = (8000 * 9) / 9 = (20000 * x) / 5

Solving the equation (20000 * x) / 5 = (4000 * 12) / 6 gives:

x = (4000 * 12 * 5) / (20000 * 6)

x = 5

So, P was involved for 5 months.

Question

To solve this problem, we need to understand that the profit share of each person is directly proportional to the product of the money they invested and the time for which they invested.

Given that M, N, and P share the profit in the ratio 6:9:5.

Let's assume that P was involved for 'x' months.

M was involved for 12 months, N was involved for 12 - 3 = 9 months, and P was involved for 'x' months.

So, the ratio of their investments multiplied by the time they were involved is:

M's share = 4000 * 12 : N's share = 8000 * 9 : P's share = 20000 * x

This should be equal to the ratio of their profit shares, which is 6:9:5.

So, we have:

(4000 * 12) / 6 = (8000 * 9) / 9 = (20000 * x) / 5

Solving the equation (20000 * x) / 5 = (4000 * 12) / 6 gives:

x = (4000 * 12 * 5) / (20000 * 6)

x = 5

So, P was involved for 5 months.

Knowee AI · Accepted Answer