Question
P, Q, and R started a business
where the investment ratio between P and Q is 1:2, and the investment ratio between Q and R is 5:3. At the end of the first year, P doubled their investment, and Q reduced their investment by 1/2. At the end of the second year, R increased their initial investment by 50%. After 3 years, the profit share of R is Rs. (q + 14,000), and the difference between the profit shares of P and Q is Rs. 5,000. Calculate what % of P's profit share corresponds to R's profit share.Solution
ATQ, Investment ratio of P, Q and R = 5:10:6 Profit ratio of P, Q and R = 5a×1 + 10a×2 : 10a×1 + 5a×2 : 6a×2 + 9a×1 = 25: 20: 21 (q+14000)/21×5 = 5000 q = Rs.7000 Profit share of P = 5000/5 × 25 = Rs.25000 Required answer = 21000/25000 × 100 = 84%
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