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Price Reduction Percentage Calculator

Price Reduction Formula:

\[ \text{Reduction \%} = \left( \frac{\text{Old Price} - \text{New Price}}{\text{Old Price}} \right) \times 100 \]

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1. What is Price Reduction Percentage?

The Price Reduction Percentage calculates how much a price has decreased from its original value, expressed as a percentage. It's commonly used in sales, discounts, and financial analysis to measure the magnitude of price changes.

2. How Does the Calculator Work?

The calculator uses the price reduction formula:

\[ \text{Reduction \%} = \left( \frac{\text{Old Price} - \text{New Price}}{\text{Old Price}} \right) \times 100 \]

Where:

Explanation: The formula calculates what percentage of the original price was reduced to reach the new price.

3. Importance of Price Reduction Calculation

Details: Understanding price reductions helps consumers evaluate discounts, businesses analyze sales performance, and investors assess pricing strategies and market trends.

4. Using the Calculator

Tips: Enter the original price and the reduced price. Both values must be positive numbers, and the new price should be less than or equal to the old price.

5. Frequently Asked Questions (FAQ)

Q1: What does a 20% price reduction mean?
A: A 20% reduction means the new price is 80% of the original price (you pay 20% less than before).

Q2: How is this different from percentage increase?
A: The formula is similar but measures decrease rather than increase. For increases, the new price would be higher than the old price.

Q3: Can the reduction be more than 100%?
A: No, maximum reduction is 100% (free), unless the new price is negative (which isn't practical for normal pricing).

Q4: How do I calculate the new price from a percentage discount?
A: New Price = Old Price × (1 - Discount Percentage/100). This calculator does the reverse calculation.

Q5: Why is this important for businesses?
A: It helps analyze the impact of discounts on revenue, profit margins, and customer purchasing behavior.

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