A shopkeeper bought an article for Rs. 576. At what price should he mark the article to earn a profit of 15% after allowing a discount of 4%?

Correct option is B

Given:

Cost Price (CP) = ₹576

Desired Profit = 15%

Discount on Marked Price (MP) = 4%

Formula Used:

Selling Price for desired profit: $$\text{SP} = \text{CP} \times (1 + \text{Profit\%})$$​​

Relation with marked price and discount:$$\text{SP} = \text{MP} \times (1 - \text{Discount\%})$$​​

Solution:
SP = 5$$76 \times 1.1$$​5 = 662.4
0$$.96 \times \text{MP}$$​ = 662.4

​$$\text{MP} = \frac{662.4}{0.96} = ₹690$$​​
Alternate Method:

​$$\text{MP} = \text{CP} \times \frac{1+\text{Profit\%}}{1-\text{Discount\%}}$$​​

MP =$$576 \times \frac{1.15}{0.96} = ₹690$$​​