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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.
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& {\text{Marked Price}} = {\text{Rs}}{\text{.30}}{\text{}} \cr
& {\text{Selling Price}} \cr
& = {\text{Rs}}{\text{.}}\left[ {\left( {\frac{{85}}{{100}} \times 30} \right) - 1.50} \right] \cr
& = {\text{Rs}}{\text{.}}\left( {25.50 - 1.50} \right) \cr
& = {\text{Rs}}{\text{.2}}4. \cr
& {\text{Let C.P. be }}{\text{Rs}}{\text{. }}x \cr
& {\text{Then,}} \cr
& {\text{120}}\% {\text{ of }}x = {\text{24}} \cr
& \Rightarrow x = \left( {\frac{{24 \times 100}}{{120}}} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}20 \cr} $$
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