Question
The price of a house is originally listed at $130,000. The owners are having a hard time selling it and decide to reduce the price to $104,000. What is the percentage decrease of the price of the house?
A.
80%
B.
26%
C.
2%
D.
20%
A.
80%
B.
26%
C.
2%
D.
20%
Answers
GPT-4o mini
To find the percentage decrease in the price of the house, you can use the formula for percentage decrease:
\[
\text{Percentage Decrease} = \frac{\text{Original Price} - \text{New Price}}{\text{Original Price}} \times 100
\]
In this case, the original price is $130,000 and the new price is $104,000.
1. Calculate the decrease in price:
\[
130,000 - 104,000 = 26,000
\]
2. Now, plug this decrease back into the formula:
\[
\text{Percentage Decrease} = \frac{26,000}{130,000} \times 100
\]
3. Simplify the fraction:
\[
\frac{26,000}{130,000} = \frac{26}{130} = \frac{2}{10} = 0.2
\]
4. Now, convert to percentage:
\[
0.2 \times 100 = 20\%
\]
Therefore, the percentage decrease in the price of the house is **20%**.
The correct answer is **D. 20%**.
\[
\text{Percentage Decrease} = \frac{\text{Original Price} - \text{New Price}}{\text{Original Price}} \times 100
\]
In this case, the original price is $130,000 and the new price is $104,000.
1. Calculate the decrease in price:
\[
130,000 - 104,000 = 26,000
\]
2. Now, plug this decrease back into the formula:
\[
\text{Percentage Decrease} = \frac{26,000}{130,000} \times 100
\]
3. Simplify the fraction:
\[
\frac{26,000}{130,000} = \frac{26}{130} = \frac{2}{10} = 0.2
\]
4. Now, convert to percentage:
\[
0.2 \times 100 = 20\%
\]
Therefore, the percentage decrease in the price of the house is **20%**.
The correct answer is **D. 20%**.