Question

A starts a business with Rs. 3500. After 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. B's contribution to the capital is:

a) Rs. 4000
b) Rs. 4500
c) Rs. 5000
d) Rs. 5500

Answer 1

B's contribution to the capital is Rs. 9,000.

Step-by-step explanation:

In this question, we are given that A starts a business with Rs. 3500 and after 5 months, B joins as a partner. After a year, the profit is divided in the ratio 2:3. We need to find B's contribution to the capital.

Since A starts with Rs. 3500 and B joins after 5 months, we can assume that the total time period is 12 months. So, A's capital would be invested for 12 months, while B's capital would be invested for 7 months (12 months - 5 months).

Let B's capital be x. Now, we can set up the equation:

(A's capital * A's time) : (B's capital * B's time) = 2 : 3

(3500 * 12) : (x * 7) = 2 : 3

42,000 : 7x = 2 : 3

Cross multiply:

3 * 42,000 = 2 * 7x

126,000 = 14x

Divide both sides by 14:

x = Rs. 9,000

Therefore, B's contribution to the capital is Rs. 9,000.