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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 th…

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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?

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Discussion 1

CCommunity22 May 2019

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.