An item that was #$1,525# is now #$1,708#. What was the percent change?

Question

Avery Alexander · Accepted Answer

The percent increase in price was #12%#.

We first determine the difference in price as #1708-1525=183# To determine the percent change, we write: #1525xxx/100=183# Reduce the left side by dividing the numerator and denominator by #5# progressively. #305cancel1525xxx/(20cancel100)=183# #61cancel305xxx/(4cancel20)=183# Divide both sides by #61#. #x/4=183/61# #x/4=(3xx61)/61# #x/4=3xxcancel61/cancel61# #x/4=3# Multiply both sides by #4#. #x=12#

Isaiah Anthony · Answer

undefined To find the percent change, use the formula:

Percent Change = [(New Value - Old Value) / Old Value] * 100

Substitute the given values:

Percent Change = [(1708 - 1525) / 1525] * 100
Percent Change = (183 / 1525) * 100
Percent Change ≈ 12.0%

So, the percent change is approximately 12.0%.

Eli Assouline · Answer

undefined To find the percent change:
$$ \text{Percent change} = \left( \frac{\text{New value} - \text{Original value}}{\text{Original value}} \right) \times 100$$

$$ \text{Percent change} = \left( \frac{1708 - 1525}{1525} \right) \times 100$$

$$ \text{Percent change} = \left( \frac{183}{1525} \right) \times 100$$

$$ \text{Percent change} \approx \frac{183}{1525} \times 100 \approx 12.0\% $$

So, the percent change is approximately 12.0%.