Markup followed by discount: A shopkeeper marks goods 20% above cost price and later allows a 5% discount on the marked price. What is the net profit or loss percent?

Difficulty: Easy

Correct Answer: 14% (profit)

Explanation:


Introduction / Context:
This problem uses successive percentage changes on price: first an increase (markup), then a decrease (discount). The combined effect determines profit or loss relative to cost price.


Given Data / Assumptions:

  • Cost Price (CP) = 100 (assumed for ease).
  • Markup = +20% ⇒ Marked Price (MP) = 120.
  • Discount = 5% on MP ⇒ Selling Price (SP) = 120 * 0.95.

Concept / Approach:
Compute SP after both operations. Profit % = (SP − CP) / CP * 100%.


Step-by-Step Solution:

SP = 120 * 0.95 = 114.Profit = 114 − 100 = 14.Profit % = 14/100 * 100% = 14%.

Verification / Alternative check:
Use factors: net factor = 1.20 * 0.95 = 1.14 ⇒ 14% profit directly.


Why Other Options Are Wrong:

  • All others mismatch the exact net factor 1.14.

Common Pitfalls:
Subtracting 5% from 20% to get 15% profit; discounts apply on the increased base, so you must multiply factors.


Final Answer:
14% (profit)

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