Question

On selling an article for Rs. 4,224; a loss of 12% is made. At what price must it be sold in order to gain 7.5% ?

• A. Rs. $4,695$
• B. Rs. $5,160$
• C. Rs. $6,869$
• D. Rs. $7,526$
  

Answer 1

The correct option is B Rs. $5,160$

Given, $S.P=Rs4,224$
Loss $=12$ %
So, Loss % $=\frac{C.P.-S.P.}{C.P.}\times 100=12$

$=>\frac{C.P.-4,224}{C.P}\times 100=12$

$=>C.P.-4,224=0.12C.P.$
$=>0.88C.P=4,224$
$=>C.P.=Rs4,800$
Now, with this C.P. and for Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=7.5$ %
$=>\frac{S.P.-4,800}{4,800}\times 100=7.5$
$=>S.P.-4,800=360.$
$=>S.P.=Rs5,160$