1.

A dealer sells an article for Rs. 75 and gains as much per cent as the cost price of the article. Find the cost price of the article.

Answer» Correct Answer - Rs. 50
Let the CP of the article be Rs. x. Then, gain `=x%`.
`:." "SP=Rs. {((100+x)x)/(100)}=Rs. {(x^(2)+100x)/(100)}`
`implies" "(x^(2)+100x)/(100)=75impliesx^(2)+100x-7500=0impliesx^(2)+150x-50x-7500=0.`


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