15 percent of marked price is equal to the 18 percent of selling price. What…
2021
15 percent of marked price is equal to the 18 percent of selling price. What is the discount percentage?
Answer: B. 16.66 — Let the marked price be M and the selling price be S. Given: 15% of the marked price = 18% of the selling price. So, 0.15 M = 0.18 S ⇒ S = 5/6 M Discount = (M…
- A.
20
- B.
16.66
- C.
14.28
- D.
17.5
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Correct answer: B
Let the marked price be M and the selling price be S.
Given: 15% of the marked price = 18% of the selling price.
So, 0.15 M = 0.18 S ⇒ S = 5/6 M
Discount = (M − S)/M × 100 = (1 − 5/6) × 100 = 16 2/3% ≈ 16.66%
Quick numeric check: If M = 100, then 15% of M = 15, so 18% of S = 15 ⇒ S = 15 ÷ 0.18 = 83.333. Discount = 100 − 83.333 = 16.666%.
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