On allowing two successive discounts of 20% and 15%, the selling price of an…
2022
On allowing two successive discounts of 20% and 15%, the selling price of an article becomes Rs. 3060. What is the marked price of the article?
Answer: D. 4500 — ConceptFor successive discounts, the price is multiplied by the fraction retained after each discount. If the discounts are d1% and d2%, then selling price =…
- A.
4000
- B.
4100
- C.
4200
- D.
4500
Attempted by 2 students.
Show answer & explanation
Correct answer: D
Concept
For successive discounts, the price is multiplied by the fraction retained after each discount. If the discounts are d1% and d2%, then selling price = marked price × (1 − d1/100) × (1 − d2/100). The discount percentages must not be added directly because the second discount acts on the already reduced price.
Application
Let the marked price be M.
After the 20% discount, the retained fraction is 1 − 20/100 = 0.80.
After the further 15% discount, the retained fraction is 1 − 15/100 = 0.85.
Therefore, 3060 = M × 0.80 × 0.85 = 0.68M.
Hence, M = 3060/0.68 = 4500.
Cross-check
Starting from Rs. 4500, a 20% discount gives Rs. 3600, and a further 15% discount gives Rs. 3060. This reproduces the stated selling price, so the marked price is Rs. 4500.