Question

A shopkeeper sells a badminton racket whose market price is Rs.30, at a discount of 15%, and gives a shuttlecock costing Rs.1.50 free with each racket. Even then he makes a profit of 20%. His cost price per racket is

• A. Rs.21
• B. Rs.21.25
• C. Rs.20
• D. Rs.19.75

Answer 1

The correct option is C Rs.20

M.P. of the racket = Rs.30

Discount = 15%

$\therefore$ S.P. of the racket = $30\times \frac{(100-15)}{100}=Rs.25.50$
S.P. when a shuttle cock costing Rs.1.50 is given free $=Rs.25.50-Rs.1.50=Rs.24$

Profit = 20%
$\therefore$ C.P. of the racket at 20% profit = Rs.$\frac{24\times 100}{(100+20)}=Rs.20$