An article priced at ₹ 100 undergoes a 10% increase and then another 10% increase. By how much has the price increased in total (in ₹)?

Difficulty: Easy

Correct Answer: 21

Explanation:


Introduction / Context:
Successive percentage changes compound multiplicatively. Two increases of 10% each do not simply add to 20%; the second 10% applies to the already increased amount.


Given Data / Assumptions:

  • Initial price = ₹ 100.
  • Increase 1: +10%.
  • Increase 2: +10% again.


Concept / Approach:
After one 10% increase, multiply by 1.10. Apply the second 10% increase by multiplying by 1.10 again. Subtract the original to get the total absolute increase.


Step-by-Step Solution:
After first increase: 100 * 1.10 = 110After second increase: 110 * 1.10 = 121Total increase = 121 − 100 = 21


Verification / Alternative check:
Equivalent single multiplier = 1.10 * 1.10 = 1.21, which is a 21% increase on ₹ 100, i.e., ₹ 21.


Why Other Options Are Wrong:
20 ignores compounding; 110 and 121 are prices, not increases; 19 is arbitrary.


Common Pitfalls:
Adding percentages linearly for successive changes; percentages compound unless specified otherwise.


Final Answer:
21

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