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    A sells an item at 20% profit to B. B sells it to C at 10% profit. C sells it to D at INR 116/- profit. Difference between the cost price of D and cost price of A was INR 500/-. How much did B pay to A for the item

  • INR 1240/-
  • INR 1250/-
  • INR 1440/-
  • INR 1450/-
  • INR 1400/-
  • Explanation:

    Let the cost price of A be INR x.

    ∴ Selling price of KA = 120/100x = 6/5x

    or cost price of B = 6/5x

    ∴ Selling price of B or cost price of C

    = 110/100×6/5x = 33/25x

    Now, selling price of C or cost price of D

    = 33/25x+116

    According to question,

    33/25x+116-x = 500

    33/25x-x=500-116

    8/25x=384⇒x=INR 1200/-

    ∴ Selling price of A = 6/5×1200 = INR 1440/-