Question
Trader M gives a single discount of 30% and Trader N
gives two successive discounts of 20% and 10% on an identical article. If the discount given by M is Rs.500 more than the discount given by N, find the marked price (in Rs.) of the article.Solution
Let the Marked Price (MP) be ₹x. Discount by M = 30% of x = 0.3x Successive discounts by N: First 20%, then 10% on the reduced price. Effective discount % = 20 + 10 - (20*10)/100 = 28% Discount by N = 28% of x = 0.28x According to the question: 0.3x - 0.28x = 500 0.02x = 500 x = 500 / 0.02 = ₹25,000
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