Question
N, S, and D have invested Rs. 'x', Rs. (x + 3,000), and
Rs. (x + 6,000) in a business, respectively. If S and their partner made their investment at the same time, find their profit share of the total profit of Rs. 15,000 at the end of the first year.Solution
ATQ, Respective ratio of profit shares of N,S and D, at the end of the year: = {x × 1}:{(x + 3,000) × 1}:{(x + 12,000) × 1} = (x) :(x + 3,000) :(x + 6,000) Ratio of profit share of S to that of total profit = (x + 3,000) :(x + x + 3,000 + x + 6,000) = (x + 3,000) :(3x + 9,000) = (x + 3,000) :{3 × (x + 3,000) } = 1:3 Therefore, required profit = (1/3) × 15,000 = Rs.5,000
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