The price of a product was increased by 10% and then decreased by 5%. What is the final price if the original price was ₹200?
₹ 209.50
To find the final price of the product after consecutive percentage changes, we need to perform the following calculations:
- Calculate the increased price after a 10% rise.
- Calculate the reduced price after a 5% decrease on the new price.
Step-by-Step Calculation:
- Original Price: ₹200
- Price after 10% increase:
- Increase amount = 10% of ₹200 = \(\left(\frac{10}{100}\right) \times 200 = 20\)
- New price = Original price + Increase = ₹200 + ₹20 = ₹220
- Price after 5% decrease:
- Decrease amount = 5% of ₹220 = \(\left(\frac{5}{100}\right) \times 220 = 11\)
- Final price = New price - Decrease = ₹220 - ₹11 = ₹209.50
Conclusion:
The final price of the product, after a 10% increase followed by a 5% decrease, is ₹209.50. Therefore, the correct answer is ₹209.50.
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