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      Question

      Sumit started a company with an initial investment.

      After 3 months, Tarun joined him with Rs. 1000 more than Sumit. If their profit shares after one year are in the ratio 7:9, what was Sumit’s investment?
      A Rs.1400 Correct Answer Incorrect Answer
      B Rs.1320 Correct Answer Incorrect Answer
      C Rs.1210 Correct Answer Incorrect Answer
      D Rs.1350 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let Sumit’s investment be Rs. 'Y'

      So, Tarun’s investment = Rs. (Y + 1000)

      Profit ratio = (Y × 12) : {(Y + 1000) × 9}

      ATQ,

      (Y × 12) ÷ {(Y + 1000) × 9} = 7/9

      Or, 12Y × 9 = 7 × (9Y + 9000)

      Or, 108Y = 63Y + 63,000

      So, 45Y = 63,000

      ∴ Y = 63,000 ÷ 45 = Rs. 1400

      Therefore, Sumit’s initial investment = Rs. 1400

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