Question
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 = ?
Answer: Option C
Mark price of racket = Rs. 30
After discount selling price = 85% of Rs. 30
$$\eqalign{
& = \frac{{85}}{{100}} \times 30{\text{ }} \cr
& = {\text{Rs}}{\text{. 25}}{\text{.50 }} \cr
& {\text{Selling price of racket }} \cr
& = {\text{25}}{\text{.50}} - {\text{1}}{\text{.50}} \cr
& = {\text{Rs}}{\text{. 24}} \cr
& {\text{Cost price of racket}} \cr
& = 24 \times \frac{{100}}{{120}}{\text{ }} \cr
& = {\text{Rs}}{\text{. 20}} \cr} $$
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Mark price of racket = Rs. 30
After discount selling price = 85% of Rs. 30
$$\eqalign{
& = \frac{{85}}{{100}} \times 30{\text{ }} \cr
& = {\text{Rs}}{\text{. 25}}{\text{.50 }} \cr
& {\text{Selling price of racket }} \cr
& = {\text{25}}{\text{.50}} - {\text{1}}{\text{.50}} \cr
& = {\text{Rs}}{\text{. 24}} \cr
& {\text{Cost price of racket}} \cr
& = 24 \times \frac{{100}}{{120}}{\text{ }} \cr
& = {\text{Rs}}{\text{. 20}} \cr} $$
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