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      Question

      The ratio of the incomes of P, Q, and R is 3:5:6. If

      P’s income is increased by 25%, R’s income is increased by 15%, and Q’s income is reduced by 30%, the difference between the new incomes of R and P becomes ₹945. What was Q’s original income?
      A 900 Correct Answer Incorrect Answer
      B 950 Correct Answer Incorrect Answer
      C 1,000 Correct Answer Incorrect Answer
      D 1,050 Correct Answer Incorrect Answer
      E 1,500 Correct Answer Incorrect Answer

      Solution

      Let their original incomes be 3z, 5z, and 6z  Income of P after a 25% increase = 3.75z  Income of Q after a 30% decrease = 3.5z  Income of R after a 15% increase = 6.9z  6.9z – 3.75z = 945 3.15z = 945 z = 300 Q’s original income = 5z = ₹1,500

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