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… — Answer & Discussion

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.

ARs. 2800
BRs. 2400
CRs. 3200
DRs. 3600

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Discussion 1

CCommunity14 Jun 2019

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