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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%. Find his cost price per racket.

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Rs . 21

Rs . 21.25

Rs . 20

Rs . 19.75

answer is C.

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Detailed Solution

Given,
Market price of a racket = Rs.30
Discount = 15 %
A cost of shuttlecock = Rs.1.50
Profit = 20%
Now calculate the selling price (S.P.) of the racket
S.P.

= 30 (\frac{100 - 15}{100})

S . P . = 30 (\frac{85}{100})

S.P.

= Rs . 25.50

Again, we have calculated the selling price when the shuttle price is given free then,

= Rs (25.5 - 1.5)

= Rs 24

When the shopkeeper is gain 20 % profit on a racket
So, we calculate the 1 racket cost price by the using following formula

Profit = \frac{Selling price - Cost price}{Cost price .} \times 100

Put the value in this formula we get

20 = \frac{24 - Cost price .}{Cost price} \times 100

20 (Cost price .) = (24 - Cost price .) \times 100

20 = 2400 - 100

100 + 20 = 2400

\Rightarrow 120 = 2400

Cost price = \frac{2400}{120}

Rs 20

Hence, the cost price

= Rs 20

Correct option is 3.

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