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      Question

      The cost price of gadget ‘B’ is (150/6)% of the selling

      price of gadget ‘A’. Gadget ‘A’ is sold at 25% profit, and the cost price of gadget ‘A’ is Rs. 12 more than that of gadget ‘B’. If the cost price of gadget ‘A’ is equal to the selling price of gadget ‘B’, find the cost price of gadget ‘B’.
      A Rs.5.45 Correct Answer Incorrect Answer
      B Rs.18.25 Correct Answer Incorrect Answer
      C Rs.16.22 Correct Answer Incorrect Answer
      D Rs.2.25 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let cost price of gadget ‘A’ = Rs. ‘x’ = selling price of gadget ‘B’

      Selling price of gadget ‘A’ = 1.25 × x = Rs. ‘1.25x’

      Cost price of gadget ‘B’ = (3/12) × 1.25x = Rs. ‘0.3125x’

      ATQ,

      x = 0.3125x + 12

      Or, 0.6875x = 12

      Or, x = 17.45

      So, cost price of gadget ‘B’ = 0.3125x = 0.3125 × 17.45 ≈ Rs. 5.45

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