A department store is having a 55% off sale on all sport coats. If you have a coupon for an additional 10% off of any item, how much will a $230.00 sport coat cost?
price after store discount of 55% = .45(230) 103.50
after you additional 10% off, price = 0.9(103.5) = $93.15
To find out how much the sport coat will cost, we first need to calculate the discount amount.
1. Start by calculating the discount for the department store sale. The sport coat is 55% off, so we need to find 55% of $230.00:
Discount = 55% x $230.00
To calculate a percentage, multiply the percentage value by the total amount and divide by 100:
Discount = (55/100) x $230.00
2. Simplify the calculation:
Discount = 0.55 x $230.00
Discount = $126.50
So, the discount for the department store sale is $126.50.
3. Next, calculate the discount from the coupon. The coupon gives an additional 10% off on any item, so we need to find 10% of the discounted price:
Coupon discount = 10% x ($230.00 - $126.50)
Coupon discount = (10/100) x ($103.50)
Coupon discount = $10.35
4. Finally, subtract the total discount from the original price to find how much the sport coat will cost:
Final price = $230.00 - ($126.50 + $10.35)
Final price = $230.00 - $136.85
Final price = $93.15
Therefore, with a 55% off sale and a 10% coupon, the $230.00 sport coat will cost $93.15.