By selling an article for Rs. 4,824, a man gains 20%. What will be his profit percentage (rounded off to the nearest integer) if he sells it for Rs. 6,000?

Correct option is A

Given:
Selling price for 20% profit = Rs. 4,824
Profit percentage = 20%
Formula Used:
​$$\text{Profit} = \text{Selling Price} - \text{Cost Price} \\\text{Selling Price} = \text{Cost Price} \times \left(1 + \frac{\text{Profit Percentage}}{100}\right)$$​​
Solution:
Let the cost price be C.
For a 20% profit, the selling price is given by:
​$$4,824 = C \times \left( 1 + \frac{20}{100} \right) \\4,824 = C \times 1.2 \\C = \frac{4,824}{1.2} = 4,020$$​​
Thus, the cost price of the article is Rs. 4,020.
Now, if the article is sold for Rs. 6,000, the new profit is:
New Profit = 6,000 - 4,020 = 1,980
​$$\text{Profit Percentage} = \frac{\text{Profit}}{\text{Cost Price}} \times 100 \\\text{Profit Percentage} = \frac{1,980}{4,020} \times 100 \approx 49.25\%$$​​
Thus, the profit percentage (rounded off to the nearest integer) is 49%.