Question
Sundar bought 400 books for a total cost of Rs. 40,000.
If 10% of the books are damaged due to rain, and 33⅓% of the remaining books are sold at the marked price, while the rest are sold at a 20% discount on the marked price, and the ratio of marked price to cost price is 2:1, what is the profit percentage earned by Sundar?Solution
CP of one book = 40000/400 = Rs.100 MP of book = 100 * 2/1 = 200 10% of books are damaged = 10/100 * 400 = 40 Remaining book = 400 – 40 = 360 33(1/3) % of the book = 360 * 100/300 = 120 SP of book sold at MP = 120 * 200 = 24000 Remaining book = 400 – 40 – 120 = 240 SP of 240 books at 20% discount = 240 * 200 * 80/100 = 38400 Total SP = 38400 + 24000 = 62400 Required percentage = (62400 – 40000)/40000 * 100 = 56%
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