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      Question

      Ravi bought two products, β€˜M’ and β€˜N’, at the

      same price. He added a markup of 20% on β€˜M’ and 50% on β€˜N’. Then, he gave a discount of Rs. 180 on β€˜N’ and Rs. 240 on β€˜M’. If the profit on β€˜M’ was 25% less than the profit on β€˜N’, calculate the combined cost price of both products.
      A Rs.1200 Correct Answer Incorrect Answer
      B Rs.2500 Correct Answer Incorrect Answer
      C Rs.3200 Correct Answer Incorrect Answer
      D Rs.1150 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let cost price of both products be Rs. β€˜100x’ Marked price of product β€˜M’ = 100x + 20x = Rs. 120x Marked price of product β€˜N’ = 100x + 50x = Rs. 150x Selling price of β€˜M’ = 120x – 240 Selling price of β€˜N’ = 150x – 180 According to question: (120x – 240 – 100x) = 0.75 Γ— (150x – 180 – 100x) Or, 20x – 240 = 0.75 Γ— (50x – 180) Or, 20x – 240 = 37.5x – 135 Or, 17.5x = 105 Or, x = 6 So, cost price of one product = 100 Γ— 6 = Rs. 600 Total cost price of both products = 2 Γ— 600 = Rs. 1,200

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