Question

Edgar buys a Bike for $345.95, with a discount of 12%. Find the regular price of the bike estimated to the nearest hundredths.
$393.12
$393.2
$393.15
$393.13

Answer 1

To find the regular price of the bike before the discount, we can use the following formula:

\[
\text{Regular Price} = \frac{\text{Discounted Price}}{1 - \text{Discount Rate}}
\]

In this case:
- The discounted price is $345.95.
- The discount rate is 12%, which in decimal form is 0.12.

Substituting the values into the formula:

\[
\text{Regular Price} = \frac{345.95}{1 - 0.12} = \frac{345.95}{0.88}
\]

Calculating the division:

\[
\text{Regular Price} = \frac{345.95}{0.88} \approx 393.13
\]

Now rounding to the nearest hundredths, we find:

\[
\text{Regular Price} \approx 393.13
\]

Thus, the regular price of the bike is **$393.13**.