Question

A shopkeeper sells a bat and a ball, whose marked price is Rs.30 at a discount of 15% and gives a ball costing Rs.1.5 free with each bat. If the shopkeeper still makes a profit of 20%, then the cost price of the bat is-

(A) Rs. 32.15

(B) Rs. 25.25

(C) Rs. 19.75

(D) Rs. 18.75

Answer 1

Marked price of bat and ball = Rs.30
Discount = 15%
With each bat there gives a ball free costing Rs.1.50
So, Selling price of bat = $\left(30-30\times \frac{15}{100}\right)-1.50=$Rs.25.50 - Rs.1.50 = Rs.24
Suppose the cost price of bat is Rs.x.
Profit = 20%
Then, selling price of the bat = $x+x\times \frac{20}{100}=\mathrm{Rs}.24$
$$\begin{gathered} \Rightarrow x+\frac{x}{5}=24 \\ \Rightarrow \frac{6x}{5}=24 \\ \Rightarrow x=\frac{24\times 5}{6}=20 \end{gathered}$$
Therefore cost price of the bat is Rs.20.