Single percentage increase on price: The price of a product is increased by 20%. If the original price is ₹300, what is the final price after the increase?

Difficulty: Easy

Correct Answer: ₹360

Explanation:


Introduction / Context:
A straightforward computation: increasing a known base price by a given percentage. This type of question is common in shopping, taxation (e.g., GST), and inflation computations, where the new amount must be calculated from the original value and a single rate of change.


Given Data / Assumptions:

  • Original price = ₹300.
  • Increase = 20% of the original price.


Concept / Approach:
For a single increase of r%, multiply the original value by (1 + r/100). Here r = 20, so factor = 1.20. This compact method avoids separate steps of calculating the increment first and then adding it back, though both methods yield the same result.


Step-by-Step Solution:

Increase amount = 20% of 300 = 0.20 * 300 = ₹60 Final price = 300 + 60 = ₹360 Equivalently, 300 * 1.20 = ₹360


Verification / Alternative check:
Reverse check: If final is 360, the increase over 300 is 60, and 60/300 * 100% = 20%. This confirms accuracy.


Why Other Options Are Wrong:
₹350, ₹365, and ₹370 correspond to incorrect increase amounts (16.7%, 21.7%, 23.3% respectively). ₹340 implies only a 13.3% increase, not 20%.


Common Pitfalls:
Mixing up the base for percentage increase or mistakenly applying further changes. Ensure the percentage is always applied to the stated original price unless clearly specified otherwise.


Final Answer:
₹360

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