Question

Mark (✓) against the correct answer
On selling a pen for Rs 48, a shopkeeper loses 20%. In order to gain 20% what would be the selling price?

(a) Rs 52
(b) Rs 56
(c) Rs 68
(d) Rs 72

Answer 1

(d) Rs. 72

SP of the pen = Rs. 48
Loses = 20%
Then , $\mathrm{CP}=\{\frac{100}{(100-\mathrm{Loss}\%)}\times \mathrm{SP}\}$
$$\begin{gathered} =\{\frac{100}{(100-20)}\times 48\} \\ =\mathrm{Rs}.60 \end{gathered}$$

In order to gain 20%:

$$\begin{gathered} \mathrm{SP}=\{\frac{(100+\mathrm{Gain}\%)}{100}\times \mathrm{CP}\} \\ =\{\frac{(100+20)}{100}\times 60\} \\ =\frac{120}{100}\times 60 \\ =\mathrm{Rs}.72 \end{gathered}$$