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      Question

      The list price of product A is Rs. 80 less than the

      selling price of product B. The list price of product B is 60% higher than the selling price of product A. If the list prices of A and B are in the ratio 1:2, and the selling price of A is Rs. 40 lower than that of B, determine the discount given on product B.
      A Rs.80 Correct Answer Incorrect Answer
      B Rs.42 Correct Answer Incorrect Answer
      C Rs.24 Correct Answer Incorrect Answer
      D Rs.55 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      let SP of B = x, SP of A = y MP(A) = (x − 80) MP(B) = 1.6y (x − 80) / 1.6y = 1/2 ⇒ 2x − 160 = 1.6y ⇒ x − 0.8y = 80 ...(I) Also, x − y = 40 ...(II) Subtracting: (II) − (I) ⇒ −0.2y = −40 ⇒ y = 200 Then x = 240 Discount on B = 1.6y − x = 320 − 240 = Rs. 80

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