Question
A shopkeeper allows a discount of 20% on a product and
incurs a loss of 15%. If the difference between the discount given and the loss is Rs. 220, find the selling price needed to earn a 30% profit.Solution
ATQ, Let the cost price of the product is Rs. '100x' Selling price of the product = 0.85 Γ 100x = Rs. '85x' Marked price of the product = (85x/0.80) = Rs. (425x/4) Loss incurred = 100x - 85x = Rs. '15x' Discount given = (425x/4) - 85x = Rs. (85x/4) So, (85x/4) - 15x = 220 Or, (25x/4) = 220 Or, x = 35.2 So, required selling price = 1.30 Γ 100 Γ 35.2 = Rs.4,576
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