jacobtilleyrocks
Answered

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If an item that originally cost [tex]$13 is decreased to $[/tex]10, what is the percentage decrease in the item?

Round your answer to 3 decimal places. Do NOT include a % sign with your answer.

Sagot :

GinnyAnswer
Certainly! Let's go through the process of determining the percentage decrease step-by-step.

1. Determine the original and new prices:
- Original price: $13
- New price: $10

2. Calculate the decrease in price:
- Decrease \( = \text{Original price} - \text{New price} \)
- Decrease \( = 13 - 10 \)
- Decrease \( = 3 \)

3. Calculate the percentage decrease:
- Percentage decrease \( = \left(\frac{\text{Decrease}}{\text{Original price}}\right) \times 100 \)
- Percentage decrease \( = \left(\frac{3}{13}\right) \times 100 \)

4. Obtain the numerical value for the percentage decrease:
- Percentage decrease \( \approx 23.076923076923077 \)

5. Round the percentage decrease to 3 decimal places:
- Rounded percentage decrease \( = 23.077 \)

Putting it all together, the percentage decrease, rounded to 3 decimal places, is [tex]\( \textbf{23.077} \)[/tex].
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