Final answer:
To find the final price after all discounts have been taken during a sale, calculate the first discount by multiplying the original price by the discount percentage, subtract it from the original price, then calculate the second discount by multiplying the reduced price by the discount percentage and subtract it from the reduced price. Round the final price to the nearest cent.
Step-by-step explanation:
To find the final price after all discounts have been taken, we need to subtract the discounts from the original price. First, find the amount of the first discount by multiplying the original price by 30% or 0.30. Then, subtract this amount from the original price. Next, find the amount of the second discount by multiplying the reduced price by 25% or 0.25. Finally, subtract this amount from the reduced price to get the final price after all discounts have been taken. Round the final price to the nearest cent.
Original price: $119.50
First discount: $119.50 x 0.30 = $35.85
Reduced price: $119.50 - $35.85 = $83.65
Second discount: $83.65 x 0.25 = $20.91
Final price: $83.65 - $20.91 = $62.74