Question:
Amit started a shop by investing ₹5,00,000. In the first year he incurred a loss of 5%. However, during the second year he earned a profit of 10% which in the third year rose to 12%. Calculate his % Profit.
Amit started a shop by investing ₹5,00,000. In the first year he incurred a loss of 5%. However, during the second year he earned a profit of 10% which in the third year rose to 12%. Calculate his % Profit.
Updated On: Aug 18, 2025
- 12%
- 17%
- 19%
- 15%
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The Correct Option is B
Solution and Explanation
Let's calculate Amit's total profit percentage over the three years.
Initial Investment: ₹5,00,000
- First Year: A loss of 5% implies that the remaining balance is 95% of the initial amount.
Calculation:
A1=(1-0.05)×₹5,00,000=₹4,75,000 - Second Year: A profit of 10% on ₹4,75,000.
Calculation:
A2=(1+0.10)×₹4,75,000=₹5,22,500 - Third Year: A profit of 12% on ₹5,22,500.
Calculation:
A3=(1+0.12)×₹5,22,500=₹5,85,200
Overall Profit Calculation:
Ptotal=A3-InitialInitial×100=₹5,85,200-₹5,00,000₹5,00,000×100=17%
The overall percentage profit is 17%.
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