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?

Difficulty: Easy

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

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