1.

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 ?1). 23 months2). 14 months3). 20 months4). 18 months

Answer»

Solution

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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