Question

The cost of an office copier, with 5% discount, is $1,275. What is the original cost of the copier?

Answer 1

Let the original cost of the copier be \( x \).

With a 5% discount, the cost after the discount can be expressed as:
\[
x - 0.05x = 0.95x
\]
According to the problem, this discounted price is $1,275. Therefore, we can write the equation:
\[
0.95x = 1275
\]

To find the original cost \( x \), we divide both sides of the equation by 0.95:
\[
x = \frac{1275}{0.95}
\]

Calculating the right side:
\[
x = 1347.368421
\]

Therefore, rounding to the nearest cent, the original cost of the copier is approximately:
\[
\boxed{1347.37}
\]