Question

Ajay went shopping for a new camera because of a sale. The store was offering a 20% discount. If the price on the tag was pp, which expression represents the price after the discount but before tax?

Answer 1

To find the price after a 20% discount on the tagged price \( p \), you can follow these steps:

1. Calculate the amount of the discount, which is 20% of \( p \). This can be expressed as:
\[
\text{Discount} = 0.20 \times p
\]

2. Subtract the discount from the original price \( p \) to get the price after the discount:
\[
\text{Price after discount} = p - (0.20 \times p)
\]

3. Factor out \( p \) from the expression:
\[
\text{Price after discount} = p(1 - 0.20)
\]
\[
= p(0.80)
\]

Thus, the expression that represents the price after the discount but before tax is:
\[
0.80p
\]