Question
A house has increased in value by 30%
since it was purchased. If the original value is $416,000
what was the value after the increase ?
$440,800
$540,800
$640,200
$124,800
since it was purchased. If the original value is $416,000
what was the value after the increase ?
$440,800
$540,800
$640,200
$124,800
Answers
Answered by
GPT-4o mini
To find the value of the house after it has increased in value by 30%, we can follow these steps:
1. Calculate 30% of the original value.
2. Add that amount to the original value.
**Step 1: Calculate 30% of the original value ($416,000).**
\[
30\% \text{ of } 416,000 = 0.30 \times 416,000 = 124,800
\]
**Step 2: Add the increase to the original value.**
\[
\text{New Value} = \text{Original Value} + \text{Increase} = 416,000 + 124,800 = 540,800
\]
Therefore, the value of the house after the increase is **$540,800**.
1. Calculate 30% of the original value.
2. Add that amount to the original value.
**Step 1: Calculate 30% of the original value ($416,000).**
\[
30\% \text{ of } 416,000 = 0.30 \times 416,000 = 124,800
\]
**Step 2: Add the increase to the original value.**
\[
\text{New Value} = \text{Original Value} + \text{Increase} = 416,000 + 124,800 = 540,800
\]
Therefore, the value of the house after the increase is **$540,800**.