Question 52

A starts a small business with Rs. 3600. At the end of few months from the start of business, B joined the business with Rs. 4000. If the annual profit between A and B was divided between them in the respective ratio of 6 : 5, then B joined the business after how many months from the start of the business?

Solution

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

Amount invested by A = Rs. 3600

Amount invested by B = Rs. 4000

Ratio of share in profit received by A and B

=> $$\frac{3600 \times 12}{4000 \times x} = \frac{6}{5}$$

=> $$\frac{9 \times 2}{10 \times x} = \frac{1}{5}$$

=> $$x = \frac{18 \times 5}{10} = 9$$

$$\therefore$$ B joined the business after = $$12 - 9 = 3$$ months from the start of the business.

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