Question
Ravi bought two products, βMβ and βNβ, at the
same price. He added a markup of 20% on βMβ and 50% on βNβ. Then, he gave a discount of Rs. 180 on βNβ and Rs. 240 on βMβ. If the profit on βMβ was 25% less than the profit on βNβ, calculate the combined cost price of both products.Solution
ATQ,
Let cost price of both products be Rs. β100xβ Marked price of product βMβ = 100x + 20x = Rs. 120x Marked price of product βNβ = 100x + 50x = Rs. 150x Selling price of βMβ = 120x β 240 Selling price of βNβ = 150x β 180 According to question: (120x β 240 β 100x) = 0.75 Γ (150x β 180 β 100x) Or, 20x β 240 = 0.75 Γ (50x β 180) Or, 20x β 240 = 37.5x β 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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