A shopkeeper sells a badminton racket, whose marked price is Rs., 30 , at a discount of 15 % and giv

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7.Profit and Loss

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A shopkeeper sells a badminton racket, whose marked price is $Rs.\, 30$, at a discount of $15 \%$ and gives a shuttle cock costing $Rs.$ $1.50$ free with each racket. Even then he makes a profit of $20\%.$ His cost price per racket is (in $Rs$)

A

$19.75$

B

$20$

C

$21$

D

$21.25$

Solution

Marked price $=Rs.30$

$S.P.$ after discount of $15 \%=0.85 \times 30 \quad=Rs. 25.5$

Less cost of shuttle cock (free) worth $Rs. 1.50=-1.5$

Net price $=Rs. 24.00$

$24=$ C.P. $\times 1.2$

or $C.P.$ $=\frac{24}{1.2}=Rs. 20$

Standard 13

Quantitative Aptitude

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