A brand's watch price is first marked 15% above its original price and then increased by an additional 10% due to higher demand. What is the overall percentage increase relative to the original price?

Difficulty: Easy

Correct Answer: 26.5%

Explanation:


Introduction / Context:
Successive percentage increases multiply, not add. We must compound the 15% and 10% increases to find the net change over the original price.


Given Data / Assumptions:

  • Initial price = P.
  • After first increase: 1.15P.
  • After second increase: 10% more on the new price ⇒ 1.10 * 1.15P.


Concept / Approach:
Net multiplier = 1.15 * 1.10 = 1.265. The overall increase is 1.265 − 1 = 0.265 = 26.5%.


Step-by-Step Solution:

Compute compounded factor: 1.15 * 1.10 = 1.265.Net percent increase = (1.265 − 1) * 100% = 26.5%.


Verification / Alternative check:
If P = ₹100, new price after steps = ₹126.50, yielding exactly 26.5% rise.


Why Other Options Are Wrong:
25% and 27% are rounding guesses; 35% incorrectly adds 15% and 20% (or misreads the steps).


Common Pitfalls:
Adding 15% and 10% (which would give 25%) instead of compounding.


Final Answer:
26.5%

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