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      Question

      Three friends, 'X', 'Y', and 'Z', invest money in the

      ratio 3:2:5 for 4 months, 6 months, and 8 months respectively. If they earn a total profit of Rs. 360, find the share of 'Z' in the profit.
      A Rs.400 Correct Answer Incorrect Answer
      B Rs.360 Correct Answer Incorrect Answer
      C Rs.225 Correct Answer Incorrect Answer
      D Rs.352 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the investments of 'X', 'Y', and 'Z' be Rs. '3a', Rs. '2a', and Rs. '5a', respectively. Let the time periods of investments of 'X', 'Y', and 'Z' be '4t' months, '6t' months, and '8t' months, respectively. So, the ratio of profit shares of 'X', 'Y', and 'Z' is: = (3a * 4t) : (2a * 6t) : (5a * 8t) = 12at : 12at : 40at = 3 : 3 : 10 Therefore, the profit share of 'Z' = (10/16) * 360 = Rs. 225.

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