Question 35

A, B and C start a business each investing Rs 20000. After 5 months A withdrew Rs 5000, B Rs 4000 and C invested Rs 6000 more. At the end of the year a total profit of Rs 69900 was recorded. What is the share of B?

Solution

The profit fraction will be divided based on the amount spent and the investment time

For A, the investment = (20,000*5) +(15,000*7) = 205,000

For B, the investment = (20,000*5) + ( 16,000*7) = 212,000

For C, the investment = (20,000*5) + ( 26,000*7) = 282,000

Profit share of B = $$\frac{212000}{205000+212000+282000}$$ = $$\frac{212}{699}$$

Share of B = $$69900\times\ \frac{212}{699}$$ = 21200

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