A store’s cost for a stereo was $27. Th e markup was 75%. A customer
purchased it on sale at 40% off the marked up price. What was the purchase
price of the stereo?
Please help!
0-0
figure it out
To find the purchase price of the stereo, we need to go step by step.
1. Start with the store's cost for the stereo, which is $27.
2. Calculate the markup by multiplying the cost by the markup percentage. The markup percentage is given as 75%, so multiply $27 by 0.75 to get the markup amount.
Markup = $27 * 0.75 = $20.25
3. Add the markup amount to the cost to find the marked up price.
Marked up price = Cost + Markup = $27 + $20.25 = $47.25
4. Calculate the discount by multiplying the marked up price by the discount percentage. The discount percentage is given as 40%, so multiply $47.25 by 0.40 to get the discount amount.
Discount = $47.25 * 0.40 = $18.90
5. Finally, subtract the discount amount from the marked up price to find the purchase price of the stereo.
Purchase price = Marked up price - Discount = $47.25 - $18.90 = $28.35
Therefore, the purchase price of the stereo, after the 40% discount, is $28.35.
1.75*27 = 47.25
(1.-.4)(47.25) = .6*47.25 = 28.35