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Sagot :
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
- 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
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