Profit and Loss – Successive discounts on printed price: An electric heater has a printed price of Rs 160. If two successive discounts of 20% and 10% are offered, how much does the customer pay?
Aptitude
Profit and Loss
Difficulty: Easy
Choose an option
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ARs 112.00
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BRs 115.20
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CRs 119.60
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DRs 129.60
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ERs 108.80
Answer
Correct Answer: Rs 115.20
Explanation
Introduction / Context:Successive discounts multiply their factors, not add the percentages.
Given Data / Assumptions:
- Marked price = Rs 160
- Discounts: 20% then 10%
Concept / Approach:Apply the first discount to get an intermediate price, then apply the second discount on that intermediate price.
Step-by-Step Solution:Price after 20% off = 160 * 0.80 = 128Price after an additional 10% off = 128 * 0.90 = 115.20
Verification / Alternative check:Combined factor = 0.8 * 0.9 = 0.72 ⇒ 160 * 0.72 = 115.20.
Why Other Options Are Wrong:112, 119.60, 129.60, 108.80 result from incorrect arithmetic or additive treatment of discounts.
Common Pitfalls:Adding discounts to get 30% and applying once.
Final Answer:Rs 115.20