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      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.
      A Rs.5,665 Correct Answer Incorrect Answer
      B Rs.4,000 Correct Answer Incorrect Answer
      C Rs.5,500 Correct Answer Incorrect Answer
      D Rs.5,000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      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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