Question

Mohal has a loyalty card good for a discount at his local pharmacy. To find the total he has to pay, before tax, he multiplies the prices by 0.96. What percent discount does the card give?

Answer 1

To find the percent discount that Mohal's loyalty card provides, we start with the fact that he pays 96% of the original price due to the discount.

Let the original price be represented as \( P \). Then, with the discount applied, the amount he pays is:

\[
0.96P
\]

The discount amount is the difference between the original price and the discounted price:

\[
\text{Discount} = P - 0.96P = 0.04P
\]

To find the percent discount, we can calculate the discount relative to the original price, expressed as a percentage:

\[
\text{Percent Discount} = \left(\frac{\text{Discount}}{P}\right) \times 100 = \left(\frac{0.04P}{P}\right) \times 100
\]

Simplifying this expression gives:

\[
\text{Percent Discount} = 0.04 \times 100 = 4\%
\]

Thus, the loyalty card gives a **4% discount**.