Problem

The cost of replacing the screen on on your phone is currently $\$ 254$. The previous time that you had the same replacement done, the cost was $\$ 117$. What is the percent increase in your repair bill (rounded to the nearest percent)?
$117 \%$
$54 \%$
$140 \%$
$217 \%$
$137 \%$

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The percent increase in your repair bill is \(\boxed{117 \%}\).

Steps

Step 1 :Let's denote the old cost as \(old\_cost\) and the new cost as \(new\_cost\).

Step 2 :We are given that \(old\_cost = \$117\) and \(new\_cost = \$254\).

Step 3 :The percent increase in the repair bill can be calculated by subtracting the old cost from the new cost, dividing the result by the old cost, and then multiplying by 100.

Step 4 :So, the percent increase is \((new\_cost - old\_cost) / old\_cost * 100\).

Step 5 :Substituting the given values, we get \((\$254 - \$117) / \$117 * 100\).

Step 6 :This gives us a percent increase of approximately 117.0940170940171.

Step 7 :Rounding this to the nearest percent, we get 117.

Step 8 :Final Answer: The percent increase in your repair bill is \(\boxed{117 \%}\).

link_gpt