Question

alani acquired a rare painting for $2,500. unfortunately, a water stain appeared on the painting, reducing its value to $2,125. what is the percent decrease in the value of the painting? 14% 12% 16% 15%

Explanation:

Step1: Recall percent - decrease formula

Percent decrease=$\frac{\text{Original value}-\text{New value}}{\text{Original value}}\times100\%$

Step2: Identify original and new values

The original value of the painting is $\$2500$, and the new value is $\$2125$.

Step3: Calculate the difference

$2500 - 2125=375$

Step4: Calculate the percent - decrease

Percent decrease =$\frac{2500 - 2125}{2500}\times100\%=\frac{375}{2500}\times100\% = 0.15\times100\%=15\%$

Answer:

$15\%$