Pihu and Rani start a business together by investing Rs.9 ,000/-and Rs.6,300/- respectively. After a certain period, Pihu withdrew from the business completely. If at the end of 2 years the total profit earned was Rs.13,050/- and Pihu's share was Rs.6,750/-, after how many months did Pihu withdraw from business ?
Total profit = Rs. 13,050
Pihu's share = Rs. 6,750
=> Rani's share = 13,050 - 6,750 = Rs. 6,300
Let Pihu withdrew after $$x$$ months
=> Ratio of investments of Pihu and Rani
= $$(9,000 \times x) : (6,300 \times 24)$$
= $$5x : 84$$
Acc to ques,
=> $$\frac{5x}{84} = \frac{6750}{6300}$$
=> $$\frac{5x}{84} = \frac{15}{14}$$
=> $$x = \frac{15}{14} \times \frac{84}{5}$$
=> $$x = 3 \times 6 = 18$$ months
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