Question

By selling a sofa-set for Rs. 2,500; the shopkeeper loses 20%. Find his loss percent or profit per cent; if he sells the same sofa-set for Rs. 3,150.

Answer 1

Loss % $=\frac{C.P.-S.P.}{C.P}\times 100$

$=>\frac{C.P.-2500}{C.P.}\times 100=20$

$=>C.P.-2500=0.2C.P.$
$=>0.8C.P.=Rs2500$
$->C.P.=Rs3125$
Now, at $Rs3,150$, there will be a profit as $S.P.>C.P.$
Profit % $=\frac{S.P.-C.P.}{S.P}\times 100=\frac{3150-3125}{3125}\times 100=0.8$ %