By selling an article at 90% of the marked price, there is a loss of 7%. If the article is sold at the marked price, the percentage profit will be :

Correct option is D

Given:

Selling Price (SP) = 90% of Marked Price (MP)

Loss incurred = 7%

Formula Used:

Loss% = $$\frac{CP - SP}{CP} \times 100$$​​

Profit% = $$\frac{SP - CP}{CP} \times 100$$​​

Solution:

Let Cost Price (CP) = 100

SP when CP = 100 and Loss = 7%

SP = CP - 7% of CP = 100 - 7 = 93

Now,

93 = $$90\% \times MP$$​​

​$$MP = \frac{93}{0.90} = 103.33$$​​

Profit = 103.33 - 100 = 3.33

Profit% = $$\frac{3.33}{100} \times 100 = 3.33\%$$​​