Question
A shopkeeper purchased 50 books for Rs. 10,000, with the
ratio of the marked price to the cost price set at 2:1. Due to rain damage, one-tenth of the books were spoiled. Of the remaining books, 40% were sold at the marked price, while the rest were sold at a 25% discount on the marked price. Calculate the profit made by the shopkeeper.Solution
CP of one book = 10000/50 = Rs.200 MP of one book = 2/1 * 200 = Rs.400 One-tenth of book damaged = 50 * 1/10 = 5 Remaining book = 50 – 5 = 45 40% of the book = 45 * 40/100 = 18 Remaining book = 45 – 18 = 27 Total SP = 18 * 400 + (27 * 400 * 75/100) = 7200 + 8100 = Rs.15300 Profit = 15300 – 10000 = Rs.5300
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