Question
Ravi bought two products, ‘M’ and ‘N’, at the
same price. He added a markup of 20% on ‘M’ and 50% on ‘N’. Then, he gave a discount of Rs. 180 on ‘N’ and Rs. 240 on ‘M’. If the profit on ‘M’ was 25% less than the profit on ‘N’, calculate the combined cost price of both products.Solution
ATQ,
Let cost price of both products be Rs. ‘100x’ Marked price of product ‘M’ = 100x + 20x = Rs. 120x Marked price of product ‘N’ = 100x + 50x = Rs. 150x Selling price of ‘M’ = 120x – 240 Selling price of ‘N’ = 150x – 180 According to question: (120x – 240 – 100x) = 0.75 × (150x – 180 – 100x) Or, 20x – 240 = 0.75 × (50x – 180) Or, 20x – 240 = 37.5x – 135 Or, 17.5x = 105 Or, x = 6 So, cost price of one product = 100 × 6 = Rs. 600 Total cost price of both products = 2 × 600 = Rs. 1,200
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