1. Rani bought more apples than oranges. She sells apples at Rs. 23 apiece and makes 15% profit. She sells oranges at Rs. 10 apiece and marks 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.
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By: anil on 05 May 2019 02.36 am
Let number of apples = $$x$$ and oranges = $$y$$ => $$23x + 10y = 653$$ $$(x > y)$$ Since, 653 has last digit 3, which is possible when 23 is multiplies by 1,11,21,31 and so on. Also, $$x > y$$ => $$x = 21$$ and $$y = 17$$ => C.P. of 1 apple = $$frac{100}{115} imes 23 = 20$$ C.P. of 1 orange = $$frac{100}{125} imes 10 = 8$$ => Total C.P. = $$(21 imes 20) + (17 imes 8) = 420 + 136 = 556$$ $$ herefore$$ Profit % = $$frac{653 - 556}{556} imes 100 = 17.4 \%$$
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