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      Question

      Aman began a business with a certain capital. After 3

      months, Rohan joined him with Rs. 900 more than Aman had invested. If the profit at the end of the year is distributed in the ratio of 4:5 between Aman and Rohan respectively, what was the amount invested by Aman initially?
      A Rs.2450 Correct Answer Incorrect Answer
      B Rs.3200 Correct Answer Incorrect Answer
      C Rs.2110 Correct Answer Incorrect Answer
      D Rs.1350 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let Aman’s initial investment be Rs. 'Y'

      So, Rohan’s investment = Rs. (Y + 900)

      Profit ratio = (Y × 12) : {(Y + 900) × 9}

      ATQ,

      (Y × 12) ÷ {(Y + 900) × 9} = 4/5

      Or, 12Y × 5 = 4 × (9Y + 8100)

      Or, 60Y = 36Y + 32,400

      So, 24Y = 32,400

      ∴ Y = 32,400 ÷ 24 = Rs. 1350


      Therefore, Aman’s initial investment = Rs. 1350

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