The price of a sweater was reduced from $20 to $12. By what percentage was the price of the sweater reduced?

A.8%

B.80%

C.60%

D.40%


To calculate the percentage reduction in price, we use the formula:

\[
\text{Percentage Reduction} = \frac{\text{Original Price} - \text{New Price}}{\text{Original Price}} \times 100
\]

Here, the original price of the sweater is $20, and the new price is $12. Substituting these values:

\[
\text{Percentage Reduction} = \frac{20 - 12}{20} \times 100 = \frac{8}{20} \times 100 = 0.4 \times 100 = 40\%
\]

Thus, the price of the sweater was reduced by **40%**.

The correct answer is **D. 40%**.

Would you like more details on how this formula works or have any questions? Here are 5 related questions to deepen understanding:

1. How would you calculate the percentage increase if the price had risen from $12 to $20?
2. What would be the percentage reduction if the price had dropped from $50 to $30?
3. How can you reverse the percentage reduction to find the original price given the reduced price?
4. If the price was reduced by 20%, what would the new price be starting from $20?
5. How do you calculate the percentage change if the original and new prices are given in a foreign currency?

**Tip:** Always ensure to divide by the original price when calculating percentage reduction, as it gives the correct base for comparison.

The price of a sweater was reduced from $20 to $12. By what percentage was the price of the sweater reduced?

A. 8%

B. 80%

C. 60%

D. 40%

Discover how to calculate the percentage reduction when the price of a sweater drops from $20 to $12. This step-by-step solution explains the percentage reduction formula and covers essential math concepts like price reduction and proportions. Ideal for students in Grades 5-7.

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