​On selling an item for ₹1,500, a shopkeeper loses 20%. For what amount should he sell it to gain 10%?

Correct option is D

​Given:

Selling price = ₹1,500

Loss = 20%

Required gain = 10%.

Formula Used:

Cost price (CP) with loss:  $$\text{CP} = \frac{\text{SP}}{1 - \text{Loss \%}}$$​​

Selling price (SP) with gain: $$\text{SP} = \text{CP} \times (1 + \text{Gain \%})$$​​

Solution:

$$\text{CP} = \frac{1,500}{1 - 0.2} = \frac{1,500}{0.8} = 1,875$$​​

SP for 10% gain: 

$$\text{SP} = 1,875 \times (1 + 0.1) = 1,875 \times 1.1 = 2,062.50$$​​