A shopkeeper gives successive discounts of 20%, 10% and 5%. A customer bought…
2017
A shopkeeper gives successive discounts of 20%, 10% and 5%. A customer bought an article for ₹342. The marked price of the article was:
Answer: B. ₹ 500 — Solution: Let M be the marked price. Successive discounts of 20%, 10% and 5% multiply the price by 0.8 × 0.9 × 0.95 = 0.684. The selling price after these…
- A.
₹ 600
- B.
₹ 500
- C.
₹ 480
- D.
₹ 400
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Correct answer: B
Solution:
Let M be the marked price. Successive discounts of 20%, 10% and 5% multiply the price by 0.8 × 0.9 × 0.95 = 0.684. The selling price after these discounts is M × 0.684.
Set M × 0.684 = 342 and solve for M.
M = 342 ÷ 0.684 = 500.
Therefore the marked price is ₹500.
Quick check: 500 × 0.8 = 400; 400 × 0.9 = 360; 360 × 0.95 = 342. Verified.
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