If a cost total needs to be reduced by a 9% discount, what should that total be multiplied by?

A. [tex]\( \frac{9}{10} \)[/tex]
B. [tex]\( \frac{109}{100} \)[/tex]
C. [tex]\( \frac{91}{100} \)[/tex]
D. [tex]\( \frac{9}{100} \)[/tex]



Answer :

To solve the problem of applying a 9% discount to a given total, we can follow these steps:

1. Understand the concept of the discount: A 9% discount means that 9% of the original total will be subtracted from the total cost.

2. Calculate the remaining percentage after discount: Since 9% is being subtracted, the percentage of the total cost that we need to pay is [tex]\(100\% - 9\% = 91\%\)[/tex].

3. Convert the remaining percentage to a decimal multiplier:
- Percentages can be converted to decimals by dividing by 100.
- Thus, 91% becomes [tex]\(91 / 100 = 0.91\)[/tex].

4. Determine the correct multiplier: The total should be multiplied by this decimal multiplier, which is [tex]\(0.91\)[/tex].

Therefore, the total needs to be multiplied by [tex]\(\frac{91}{100}\)[/tex].

So, the correct answer is:
C. [tex]\(\frac{91}{100}\)[/tex]