To solve this problem, we need to understand that in a partnership, the share of profit is directly proportional to the product of the capital invested and the time for which it is invested.

Given that A's capital is Rs. 85,000 and B's capital is Rs. 42,500. Also, the profit ratio is given as 3:1 (A:B).

Let's assume that B invested for 'x' months.

Since the profit is proportional to the product of capital and time, we can write the equation as:

(A's capital * 12 months) / (B's capital * x months) = A's share of profit / B's share of profit

Substituting the given values into the equation, we get:

(85000 * 12) / (42500 * x) = 3 / 1

Solving this equation for 'x', we get:

x = (85000 * 12) / (42500 * 3)

x = 8 months

So, B must have joined the business for 8 months.

Question

To solve this problem, we need to understand that in a partnership, the share of profit is directly proportional to the product of the capital invested and the time for which it is invested.

Given that A's capital is Rs. 85,000 and B's capital is Rs. 42,500. Also, the profit ratio is given as 3:1 (A:B).

Let's assume that B invested for 'x' months.

Since the profit is proportional to the product of capital and time, we can write the equation as:

(A's capital * 12 months) / (B's capital * x months) = A's share of profit / B's share of profit

Substituting the given values into the equation, we get:

(85000 * 12) / (42500 * x) = 3 / 1

Solving this equation for 'x', we get:

x = (85000 * 12) / (42500 * 3)

x = 8 months

So, B must have joined the business for 8 months.

Knowee AI · Accepted Answer

To solve this problem, we need to understand that in a partnership, the share of profit is directly proportional to the product of the capital invested and the time for which it is invested.

Given that A's capital is Rs. 85,000 and B's capital is Rs. 42,500. Also, the profit ratio is given as 3:1 (A:B).

Let's assume that B invested for 'x' months.

Since the profit is proportional to the product of capital and time, we can write the equation as:

(A's capital * 12 months) / (B's capital * x months) = A's share of profit / B's share of profit

Substituting the given values into the equation, we get:

(85000 * 12) / (42500 * x) = 3 / 1

Solving this equation for 'x', we get:

x = (85000 * 12) / (42500 * 3)

x = 8 months

So, B must have joined the business for 8 months.

A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

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