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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…

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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 ?
  • A23 months
  • B14 months
  • C20 months
  • D18 months
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0
CCommunity
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
0
CCommunity
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