A started a business with a capital of Rs. 28000. Five months later ‘B’ joined as a partner with capital of Rs. 36000. What is the share of A in the total profit of Rs. 6300 at the end of year.
1). Rs. 2800
2). Rs. 2400
3). Rs. 3200
4). Rs. 3600
Share is divided in the ratio of capital invested and the number of months for which the investment is made.
Given, A started a business with a capital of Rs. 28000. Five months later ‘B’ joined as a partner with capital of Rs. 36000.
∴ A invested in the company for 12 months while B invested for 7 months.
Ratio of shares of A to B $(= \frac{{28000 \times 12}}{{36000 \times 7}})$
⇒ Ratio of shares of A to B = 4:3
Given, total profit = Rs. 6300
Profit of A $(= \frac{4}{{4 + 3}} \times 6300)$
⇒ Profit of A = Rs. 3600