Question
"Pawan" and "Qureshi" start a
business by investing Rs. 'p' and Rs. 'q', respectively. After the first 6 months, "Pawan" raises his investment by 25%, while "Qureshi" lowers his investment by 33.33%. After another 6 months, "Pawan" reduces his investment by 40%, and "Qureshi" boosts his investment by 50%. By the end of 24 months, their profit-sharing ratio stands at 9:11. Determine the ratio of "Qureshi's" initial investment to "Pawan's".Solution
ATQ, Ratio of profit shares of 'Pawan' and 'Qureshi', respectively: = {(p × 6 + (5p/4) × 6 + (3p/4) × 12) :(q × 6 + (2q/3) × 6 + (q × 12) } = {(6p + 15p/2 + 9p) :(6q + 4q + 12q) } = (45p:44q) ATQ, (45p/44q) = (9/11) Or, (p/q) = (9/11) × (44/45) So, (p/q) = (4/5) Let 'p' = 4x and 'q' = 5x. Therefore, required ratio = (q/p) = (5x/4x) = 5:4
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