A shopkeeper makes a 25% profit on an article when he offers a 10% discount on the marked price. If instead he gives a 30% discount, he incurs a loss of Rs. 200, then find the marked price of the article.

Correct option is D

Information Given:
A shopkeeper makes a 25% profit on an article when he offers a 10% discount on the marked price.
Instead, he gives a 30% discount, he incurs a loss of Rs. 200.
Formulas Used:
Selling price = $$\text{Cost Price} \times \left( \frac{100 + \text{Profit}\%}{100} \right)$$​
Marked price =$$\frac{\text{Selling Price}}{100 - \text{Discount}\%} \times 100$$​
Loss = Cost price – Selling price
Basic Explanation:
Let cost price be Rs 100a
Selling price = 125a Rs
Marked price = $$\frac{125a}{90} \times 100 = \text{Rs} \, \frac{1250a}{9}$$​

New selling price = $$\frac{1250a}{9} \times \frac{70}{100} = \text{Rs} \, \frac{875a}{9}$$​
ATQ,
$$100a - \frac{875a}{9} = 200$$​
25a = 1800
a = 72
Marked price = $$\frac{1250}{9} \times 72$$​= Rs 10000

Exam Hall Method: