Question 49

A and B both start a small business with an investment of Rs. 3500 and Rs. 4000 respectively. At the end of few months from the start of the business, A withdrew from the business completely and B remained for the year. If the annual profit was divided between A and B in the respective ratio of 7 : 12, then after how many months from the start of the business, did A leave the business?

Solution

Let A remained in the business for $$x$$ months.

Amount invested by A = Rs. 3500

Amount invested by B = Rs. 4000

Ratio of share in profit received by A and B

=> $$\frac{3500 \times x}{4000 \times 12} = \frac{7}{12}$$

=> $$\frac{7 x}{8 \times 12} = \frac{7}{12}$$

=> $$x = 8$$

$$\therefore$$ 8 months from the start of the business A left the business.

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