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      Question

      ‘P’ invested Rs. 5000 for (y + 3) months, while

      ‘Q’ invested Rs. 1500 more than ‘P’ for (y - 1) months, in a business. If profit received by ‘Q’ out of total profit of Rs. 8400 is Rs. 3200, then find the value of ‘y’.(Can calculate approx. value)
      A 14 Correct Answer Incorrect Answer
      B 20 Correct Answer Incorrect Answer
      C 25 Correct Answer Incorrect Answer
      D 32 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Ratio of profit received by ‘P’ and ‘Q’ = {5000 × (y + 3)}:{6500 × (y - 1)} = (8400 – 3200)/3200 Or, (5000y + 15000):(6500y - 6500) = 5200/3200 Or, (25y + 75)/(32.5y - 32.5) = 13/8 Or, 200y + 600 = 260y - 260 Or, 860 = 60y Or, y = 860/60 = 14.33 (approximately 14)

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