Bringing the net price down with an extra discount: An article is listed at ₹1500. After a first discount of 20%, what additional single discount should be offered to bring the net price to ₹1104?

Difficulty: Easy

Correct Answer: 8 %

Explanation:


Introduction / Context:
Successive discounts multiply. Apply the first discount to get the intermediate price, then solve for the single second discount that lands the net amount at the target. This is a direct reverse-percentage application on the already discounted price, not on the original MRP.


Given Data / Assumptions:

  • MRP M = ₹1500.
  • First discount = 20% ⇒ price after first = 0.8M = ₹1200.
  • Target net price = ₹1104.


Concept / Approach:
Let x be the additional discount rate on ₹1200. Then 1200 * (1 − x) = 1104. Solve for x and express as a percentage.


Step-by-Step Solution:

1200 * (1 − x) = 1104 ⇒ 1 − x = 1104 / 1200 = 0.92.x = 0.08 = 8%.


Verification / Alternative check:
Net factor from MRP: 0.8 * 0.92 = 0.736; 1500 * 0.736 = ₹1104, confirming.


Why Other Options Are Wrong:
10%, 12%, 15%, 6% do not reduce ₹1200 to ₹1104 exactly.


Common Pitfalls:
Applying the second discount to the original MRP instead of the already discounted base of ₹1200.


Final Answer:
8 %

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