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?
Aptitude
Percentage
Difficulty: Easy
Choose an option
-
A25%
-
B35%
-
C26.5%
-
D27%
-
E24.5%
Answer
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%