An article is bought for ₹300 and its price is increased by 5.5%. The resulting price is then reduced by 8%. Find the final selling price.
₹291.18
Let's solve the problem step-by-step to find the final selling price of the article.
- Initial Cost Price:
- The given initial price of the article is ₹300.
- Increase in Price by 5.5%:
- To calculate the increased price, we use the formula for percentage increase:
- \(\text{Increased Price} = \text{Original Price} \times \left(1 + \frac{\text{Percentage Increase}}{100}\right)\)
- Substituting the values:
- \(\text{Increased Price} = 300 \times \left(1 + \frac{5.5}{100}\right)\)
- \(= 300 \times 1.055 = 316.5\)
- Reduction in Increased Price by 8%:
- Now, we calculate the reduced price using the formula for percentage decrease:
- \(\text{Reduced Price} = \text{Increased Price} \times \left(1 - \frac{\text{Percentage Decrease}}{100}\right)\)
- Substituting the values:
- \(\text{Reduced Price} = 316.5 \times \left(1 - \frac{8}{100}\right)\)
- \(= 316.5 \times 0.92 = 291.18\)
- Conclusion:
- The final selling price of the article after the increase and decrease is ₹291.18.
- Therefore, the correct answer is ₹291.18.
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