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    A and B started a business with the investments in the ratio of 5 : 3 respectively. After 6 months from the start of the business, C joined and the respective ratio between the investments of B and C was 2 : 3. If the annual profit earned by them was INR 12300/- what was the difference between B’s share and C’s share in the profit

  • INR 900/-
  • INR 800/-
  • INR 600/-
  • INR 400/-
  • INR 700/-
  • Explanation:

    A:B = 5:3

    B:C = 2:3

    A:B:C = 10:6:9

    Ratio of annual profit of A, B and C

    =(10×12) : (6×12) : (9×6)

    =20:12:9

    Let the common ratio be x.

    According to question,

    20x+12x+9x=12300

    41x=12300

    x=INR 300/-

    ∴ Difference between B's share and C's share in the profit = 12x-9x=3x

    =3x300

    =INR 900/-

     


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