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      Question

      The marked price of item A is Rs. 90 less than the

      selling price of item B. The marked price of item B is 80% more than the selling price of item A. If the marked prices of A and B are in the ratio 1:3, and the selling price of A is Rs. 50 less than that of B, find the discount allowed on selling item B.
      A Rs.30 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 − 90) MP(B) = 1.8y (x − 90) / 1.8y = 1/3 ⇒ 3x − 270 = 1.8y ⇒ x − 0.6y = 90 ...(I) Also, x − y = 50 ...(II) Subtracting: (II) − (I) ⇒ −0.4y = −40 ⇒ y = 100 Then x = 150 Discount on B = 1.8y − x = 180 − 150 = Rs. 30

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