Question

On selling a pen for ₹48, a shopkeeper loses 20%. In order to gain 20% what should be the selling price?

(a) ₹52
(b) ₹56
(c) ₹68
(d) ₹72

Answer 1

Let the CP of a pen be x.

SP of a pen = ₹48
Loss = 20%

Therefore, CP is more than SP.

Now, Loss = CP − SP and Loss = Loss percent × CP

$$\begin{gathered} \mathrm{Thus},\mathrm{CP}-\mathrm{SP}=\mathrm{Loss}\mathrm{percent}\times \mathrm{CP} \\ \Rightarrow x-48=\frac{20}{100}\times x \\ \Rightarrow 100x-4800=20x \\ \Rightarrow 100x-20x=4800 \\ \Rightarrow 80x=4800 \\ \Rightarrow x=\frac{4800}{80} \\ \Rightarrow x=60 \end{gathered}$$

Therefore, CP of the pen = ₹60

Now, in order to gain 20%, let the new SP be y.

Gain = Gain percent × CP
= $\frac{20}{100}\times 60$
= ₹12

SP = CP + Gain
= ₹60 + ₹12
= ₹72

Hence, the correct option is (d).