The marked price of an article is ₹2,500. After allowing a discount of 20% on…
2026
The marked price of an article is ₹2,500. After allowing a discount of 20% on the marked price, there was a loss of ₹200. Find the loss percentage (rounded to two decimal places).
Answer: A. 9.09% — ConceptA discount is applied to the marked price to obtain the selling price. For a loss transaction, cost price equals selling price plus the loss, and loss…
- A.
9.09%
- B.
10.01%
- C.
9.05%
- D.
10.09%
Attempted by 37 students.
Show answer & explanation
Correct answer: A
Concept
A discount is applied to the marked price to obtain the selling price.
For a loss transaction, cost price equals selling price plus the loss, and loss percentage is calculated on the cost price.
Application
Selling price = ₹2,500 × (1 − 20/100) = ₹2,000.
Since the loss is ₹200, cost price = ₹2,000 + ₹200 = ₹2,200.
Loss percentage = (₹200/₹2,200) × 100 = 9.0909…%.
Rounded to two decimal places, the loss percentage is 9.09%.
Cross-check
9.09% of ₹2,200 is approximately ₹199.98; the two-paise difference comes from rounding.
Using the unrounded rate 9.0909…% gives exactly ₹200, confirming the calculation.