A man loses 28% by selling an article for ₹144. If he sells it for ₹288, what will be his gain/loss percentage?

Correct option is C

Given:

Loss Percentage = 28%

Selling Price (SP) = ₹144

Concept Used:

The Cost Price (CP) can be found using the formula:

​$$CP = \frac{SP}{(1 - \text{Loss\%})}$$​​

Once CP is determined, the Gain/Loss Percentage for a new selling price can be calculated using:

​$$\text{Gain/Loss \%} = \frac{\text{New SP} - \text{CP}}{\text{CP}} \times 100$$​​

Solution:

​$$CP = \frac{144}{1 - \frac{28}{100}}$$​​

​$$CP = \frac{144}{0.72} = 200$$​​

​$$\text{Gain \%} = \frac{288 - 200}{200} \times 100 = \frac{88}{200} \times 100 =44\%$$​​

=44% Gain