A man
sells an article
at 5% profit. If he had
bought it at 5% less & sold it at Rs. 1 less he would
have gained 10%. If he had bought
at 10% less and sold at Rs. x less, he would hav gained 5%. Find x?
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ANSWER
Let original Cost price of 1 article CP1=Rsx
Then Selling price of the article =SP1=100100+5x=100105x
=> If he had bought it for 5 % less, then CP2=100100−5x=10095x
And sold it for Rs2 less, then SP2=Rs100105x−2
Given Profit % =C.P.2S.P.2−C.P.2×100=10
=>10095x100105x−2−10095x×100=10
=>95x10x−200×100=10
=>10x−200=9.5x
=>0.5x=200
x=x=400
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