Question
Pawan and Qureshi started a
business where Qureshi’s investment was 62.5% of Pawan’s investment. After 5 months, Pawan withdrew his entire investment. Five months later, Qureshi also withdrew his investment, and Rakesh joined the business, contributing 75% of Pawan’s initial investment. After 15 months, if Pawan’s profit share amounted to Rs. 10,000, calculate the difference between the profit shares of Qureshi and Rakesh.Solution
ATQ, Let Pawan’s investment = Rs.’8p’ So, Qureshi’s investment = 62.5% of ‘8p’ = Rs.’5p’ And Rakesh’s investment = 75% of ‘8p’ = Rs.’6p’ Now, the ratio of profit shares of Pawan, Qureshi and Rakesh respectively after 15 months: (8p × 5): (5p × 10): (6p × 5) = 40: 50: 30 = 4: 5: 3 Since, Pawan’s profit share = Rs.10000 So, the difference between Qureshi’s and Rakesh’s profit shares = 10000 × (5 – 3)/4 = Rs.5000
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