A person sold two flats for ₹45,00,000 each. On one flat, he gained 15%, while…
2025
A person sold two flats for ₹45,00,000 each. On one flat, he gained 15%, while on the other, he lost 15%. Find his gain or loss in the transaction.
- A.
Gain of 22.5%
- B.
Loss of 2.25%
- C.
Loss of 22.5%
- D.
Gain of 2.25%
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Correct answer: B
Step-by-Step Solution
Understand the Concept: When two items are sold at the same selling price, and one is sold at a gain of x% while the other is sold at a loss of x%, there is always a net loss in the overall transaction.
Use the Shortcut Formula: For cases with an equal percentage gain and loss (x%), the net loss percentage is calculated as: Net Loss % = (common percentage / 10)^2 OR (x^2 / 100)
Apply the Values:
Here, x = 15.
Net Loss % = (15^2) / 100
Net Loss % = 225 / 100
Net Loss % = 2.25%.