A shopkeeper made a loss of 15% on selling an article. Had he sold the article for Rs. 3000 more, he would have made a profit of 5%. If he marked the article at 20% above the cost price, then find the discount given on the article?

Correct option is B

Given:

Loss percentage = 15%

marked up percentage = 20%

Formula Used:

Selling price =$$\text{Cost Price} \times \frac{100 + \text{Profit\%}}{100}$$​
Marked price =$$\text{Selling Price} \times \frac{100}{100 - \text{Discount\%}}$$
Explanation:

​$$\text{Let cost price of the article be Rs. } 100x \\\text{So, original selling price of the article is } 100x \times \frac{85}{100} = 85x \text{ Rs.} \\\text{ATQ, } 85x + 3000 = 100x \times \frac{105}{100} \\105x - 85x = 3000 \\20x = 3000 \\x = 150 \\\text{Marked price } = 15000 \times \frac{120}{100} = 18000 \text{ Rs.} \\\text{Discount } = 18000 - 85 \times 150 = 5250 \text{ Rs.}$$​​