Final answer:
The percentage discount on fancy watches reduced from $75 to $42 is 44%. To calculate it, subtract the new price from the original price, divide by the original price, and multiply by 100.
Step-by-step explanation:
Calculating a Percentage Discount
To calculate the percentage discount on the fancy watches, we need to follow these steps:
- Find the difference in price. This is the original price minus the new price.
- Divide the difference in price by the original price.
- Multiply the result by 100 to get the percentage discount.
The original price of the watches is $75, and the new price is $42. Therefore, the difference in price is $75 - $42 = $33.
Next, divide the difference by the original price: $33 ÷ $75 = 0.44.
Finally, multiply 0.44 by 100 to find the percentage discount: 0.44 × 100 = 44%.
So, the discount percentage is 44%.
Example with Sales Tax Calculation
If Emily bought a jacket for $85 and the sales tax is 7.5%, the amount of sales tax can be found by multiplying the cost of the jacket by the sales tax rate:
$85 × 0.075 = $6.375.
To find the total cost, add the amount of sales tax to the original price of the jacket:
$85 + $6.375 = $91.375.
Therefore, the total cost of the jacket including sales tax is $91.38 (rounded to two decimal places).