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Question

A man bought an article for Rs. x and sold it for Rs. 16. If his loss was x percent, find the cost price of the article.

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Solution


C.P=Rs x , S.P=Rs. 16

Loss=C.P−S.P=Rs (x−16)

Loss percent=loss/C.P×100

x=x16x×100

x2=100x1600

x2100x+1600=0

x280x20x+1600=0

x(x80)20(x80)=0

(x20)(x80)=0

x=20orx=80

For x=80 ,
loss % will be more than x% .
So , x=20 Cost price of the article is Rs. 20 .


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