# On selling a bag for Rs 704, a shopkeeper suffers a loss of 12%.At what price should he sell it to gain 7.5%?

Answers (1)

S.P.=Rs 704,loss=12%,C.P.=?
$Rs704=[1-\frac{12}{100}]of\, C.P.$
$\Rightarrow Rs704=[\frac{88}{100}]of\, C.P.$
$\Rightarrow C.P.=Rs\,[\frac{704\times100}{88}]=Rs800$
Now C.P.=Rs800,gain=7.5%,New S.P.=?
$New\, S.P.=[1+\frac{7.5}{100}]of\,Rs\, 800$
$\Rightarrow [1+\frac{15}{100}]of\,Rs\, 800$
$\Rightarrow [\frac{215}{100}]of\,Rs\, 800=Rs\, 860$

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