A and B both start a small business with an investment of Rs. 3500 and

1.	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?1). Eight2). Nine3). Ten4). Five
Answer» 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.

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?1). Eight2). Nine3). Ten4). Five

Answer»

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.