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      Question

      A, B and C started a business by investing in the ratio

      1/5 : 1/4 : 2/6. After 6 months C withdrew 1/4 of his investment. If after 1 year from start of business A and B got a share of Rs 54,000 out of the total profit, then find the share of C?
      A Rs. 35500 Correct Answer Incorrect Answer
      B Rs. 35750 Correct Answer Incorrect Answer
      C Rs. 35080 Correct Answer Incorrect Answer
      D Rs. 35000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Investments of A : B : C = 1/5 : 1/4 : 2/6 = 12 : 15 : 20 After 6 months C withdrew 1/4, so 1/4 × 20 = 5, so he invested = 20 - 5 = 15 (for another 6 months) So, now ratio of shares of A : B : C is 12 × 12 : 15 × 12 : 20 × 6 + 15 × 6 = 24 : 30 : 35 So ATQ, Share of A & B = 24 + 30 = 54 units 54 units => 54000 So, 1 unit = Rs. 1000 So, Share of C = 35 units = 35 × 1000 = Rs. 35000

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