1. A shopkeeper listed the price of goods at 30% above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of 15% and the remaining at 30% discount. His overall profit is
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By: anil on 05 May 2019 01.53 am
Let number of items = 4 (for simplicity) Let C.P. for each = $$100x$$ Markup = $$frac{30}{100} * 100x = 30x$$ => M.P. = $$100x+30x = 130x$$ For first 2 items, S.P. = $$130x*2 = 260x$$ For the next item, discount = 15% => $$frac{15}{100} * 130x = 19.5x$$ => S.P. for the next item = $$130x-19.5x = 110.5x$$ Discount for final item = 30% => $$frac{30}{100} * 130x = 39x$$ => S.P. for final item = $$130x-39x = 91x$$ => Total S.P. for 4 items = $$260x+110.5x+91x = 461.5x$$ and Total C.P. for 4 items = $$4*100x = 400x$$ => Profit = $$frac{461.5x-400x}{400x}$$ * 100 = $$frac{123}{8}$$ = 15$$frac{3}{8}$$%
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