After a discount of 23 percent on its marked price, an article is sold for Rs. 1,848. What is the marked price of the article before the discount is applied?

Introduction / Context:
This question is a typical discount and marked price problem found in profit and loss topics. It gives the final selling price after a known percentage discount and asks you to find the original marked price before the discount was applied.

Given Data / Assumptions:

• Selling price after discount = Rs. 1,848.
• Discount rate on marked price = 23 percent.
• Marked price is the original price before discount.
• No additional taxes or charges are mentioned.

Concept / Approach:
A discount of 23 percent means the customer pays 77 percent of the marked price. If M is the marked price, then selling price S equals (100 − discount percent) / 100 * M, that is S = (77 / 100) * M. We know S and need to solve for M by rearranging the equation to M = S * 100 / 77.

Step-by-Step Solution:
Step 1: Let the marked price be M. Step 2: After a 23 percent discount, selling price S = (100 − 23) percent of M = 77 percent of M. Step 3: Write S in equation form: S = (77 / 100) * M. Step 4: Substitute S = 1,848: 1,848 = (77 / 100) * M. Step 5: Rearrange to find M: M = (1,848 * 100) / 77. Step 6: Compute 1,848 / 77 = 24, so M = 24 * 100 = 2,400.

Verification / Alternative check:
Check by applying the discount to the marked price: 23 percent of 2,400 is (23 / 100) * 2,400 = 552. Subtracting this from 2,400 gives 2,400 − 552 = 1,848, which matches the given selling price. This confirms that the marked price is correct.

Why Other Options Are Wrong:

• 2,150, 2,275, and 2,350, when reduced by 23 percent, do not produce a selling price of 1,848. Their corresponding discounted prices are all different from 1,848.

Common Pitfalls:
Many students compute the discount on the selling price instead of the marked price or they subtract 23 percent incorrectly. Always remember that the given discount rate is applied to the marked price. Using the equation S = (100 − discount percent) / 100 * M and then solving for M is the safest approach.

Final Answer:
The marked price of the article is Rs. 2,400.