Question

A ready-made garment shop in Delhi allows $20\%$ discount on its garments and still makes a profit of $20\%$. Find the marked price of a dress which is bought by the shopkeeper for $Rs.400.$

• A. $Rs.600$
• B. $Rs.650$
  
• C. $Rs.700$
  
• D. $Rs.750$
  

Answer 1

The correct option is A $Rs.600$

Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=20$ %
$=>\frac{S.P.-400}{400}\times 100=20$
$=>S.P.-400=80$
$=>S.P.=Rs480$
Now, Discount % $=\frac{MarkedPrice-SellingPrice}{MarkedPrice}\times 100=20$ %
$=>\frac{M.P.-480}{M.P.}\times 100=20$
$=>M.P.-480=0.2M.P.$
$0.8M.P.=480$
$=>M.P.=Rs600$