To find the step in the process of calculating successive discounts of 8% and 10% on a [tex]$50 item, let's proceed through the discount calculation process step-by-step:
1. Calculating the first discount (8%):
- The original price of the item is $[/tex]50.
- The first discount is 8%.
- The discount amount is calculated by multiplying [tex]$50 by 8%, which is \( 50 \times 0.08 = 4 \).
- We subtract this discount from the original price:
\[
50 - 4 = 46
\]
- Thus, after the first discount, the price of the item is $[/tex]46.
2. Calculating the second discount (10%):
- The new price after the first discount is [tex]$46.
- The second discount is 10%.
- The discount amount is calculated by multiplying $[/tex]46 by 10%, which is [tex]\( 46 \times 0.10 = 4.6 \)[/tex].
- We subtract this discount from the price after the first discount:
[tex]\[
46 - 4.6 = 41.4
\][/tex]
- Thus, after the second discount, the final price of the item is [tex]$41.4.
Among the provided options:
a. taking 2% of $[/tex]50 is incorrect,
b. taking 8% of [tex]$46 is incorrect,
c. taking 10% of $[/tex]46 is correct as explained in step 2,
d. taking 18% of [tex]$50 is incorrect.
Therefore, the correct answer is:
c. take 10% of $[/tex]46
