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Profit-Loss

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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Profit-Loss

by sukh » Sun Aug 14, 2011 7:30 am
A shopkeeper sells two items at the same price. If he sells one of them at a profit of 10 % and the other at loss of 10 % , find the percentage profit/loss
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Source: — Quantitative Reasoning |
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by sumgb » Sun Aug 14, 2011 8:18 am
let's say shopkeeper sells both items for the price of x.

if price x gives 10% profit then the original price must be 100x/110 = 10x/11
if price x gives 10% loss then the original price must be 100x /90 = 10x/9

original cost of both products combined = (10x/11 + 10x/9) = 200x/99
but the shopkeeper is selling both items for 2x

so the loss (*note 200x/99 is more than 2x) = 200x/99 - 2x = 2x/99

so percentage loss = (( 2x/99 )/( 200x/99))*100 = (2x/200x)*100 = 1% loss

what is OA?

Hope this helps...
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by sukh » Sun Aug 14, 2011 8:49 am
You are right , Plz solve my work-rate topic unanswered 2nd and 3 rd questions
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by sumgb » Sun Aug 14, 2011 8:55 am
Done :-)
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