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    A and B started a business with initial investments in the respective ratio of 18:7. After four months from the start of the business. A invested INR 2000/- more and B invested INR 7000/- more. At the end of one year. If the profit was distributed among them in the ratio of 2:1 respectively, what was the total initial investment with which A and B started the business

  • INR 50000/-
  • INR 25000/-
  • INR 150000/-
  • INR 75000/-
  • INR 125000/-
  • Explanation:

    Let the initial investment of A = 18x

    And initial investment of B = 7x

    According to question,

    18x×4+(18x+2000)×8/7x×4+(7x+7000)×8 = 2/1

    ⇒ 18x+(18x+2000)×2 = 2×[7x+(7x+7000)×2]

    ⇒ 9x+18x+2000 = 7x+14x+14000

    6x = 12000

    x=2000

    ∴ Total initial investments of A and B

     = 18x+7x = 25x = 25×2000

     = INR 50000


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