By selling a bicycle at Rs. $138$ a shopkeeper would suffer a loss of $8 %$ . At how much amount should he sell it to make a profit of $12 \frac{1}{2} % ?$

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Solution

Selling price $= 138 R s .$
loss $% = 8$
$\frac{C P - S P}{C P} = \frac{8}{100}$
$1 - \frac{S P}{C P} = 0.08$
$0.92 C P = 138$
$C P = \frac{138}{0.92} = 150 R s$
Profit $% = 12.5 %$
$\frac{S P^{'} - C P}{C P} = \frac{12.5}{100}$
$S P^{'} = 1.125 \times C P = 168.75$

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