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?
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.
Create a FREE account and get:
