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      Question

      'X' began a venture by investing an unknown amount. 4

      months later, 'Y' came in with Rs. 1300 more than 'X'. At the end of 1 year, the profit was divided in the ratio 7:9. What was 'X's investment?
      A Rs.1400 Correct Answer Incorrect Answer
      B Rs.1320 Correct Answer Incorrect Answer
      C Rs.2110 Correct Answer Incorrect Answer
      D Rs.3150 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let 'X's investment = Rs. 'Y'

      Then 'Y's investment = Rs. (Y + 1300)

      Profit ratio = (Y × 12) : {(Y + 1300) × 8}

      ATQ,

      (Y × 12) ÷ {(Y + 1300) × 8} = 7/9

      Or, 12Y × 9 = 7 × (8Y + 10400)

      Or, 108Y = 56Y + 72800

      So, Y = (72800 ÷ 52) = 1400

      Therefore, initial investment of 'X' = Rs. 1400

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