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      Question

      ‘M’ invested Rs. 3600 for (t + 6) months, while

      ‘N’ invested Rs. 900 more than ‘M’ for (t - 1) months, in a business. If profit received by ‘N’ out of total profit of Rs. 6600 is Rs. 2700, then find the value of ‘t’.(Calculate approx. value)
      A 35 Correct Answer Incorrect Answer
      B 18 Correct Answer Incorrect Answer
      C 10 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 ‘M’ and ‘N’ = {3600 × (t + 6)}:{4500 × (t - 1)} = (6600 – 2700)/2700 Or, (3600t + 21600):(4500t - 4500) = 3900/2700 Or, (12t + 72):(15t - 15) = 13/9 Or, 108t + 648 = 195t - 195 Or, 843 = 87t Or, t = 843/87 = 9.69 (approximately 10)

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