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Question

A man sells an article at 5% above its cost price. If he had bought it at 5% less than what he paid for it and sold it for Rs.2 less, he would have gained 10%. Find the cost price of the article.

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Solution

Let original Cost price of 1 article CP1=Rsx
Then Selling price of the article =SP1=100+5100x=105100x

=> If he had bought it for 5 % less, then CP2=1005100x=95100x
And sold it for Rs2 less, then SP2=Rs105100x2
Given Profit % =S.P.2C.P.2C.P.2×100=10
=>105100x295100x95100x×100=10
=>10x20095x×100=10
=>10x200=9.5x
=>0.5x=200
x=400
Thus, C.P. 1 =Rs400

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