What a steal of a Deal!
Hunter went to TV City to buy a new TV. When he got there, he found that the manager was offering a 25% discount on every TV in the store. The one Hunter wanted was last year's model so he got an additional 10% discount on his purchase. When he got to the cash, he found out he would save even more because the store offered a 5% discount for paying cash. The discounts were applied successivelky, and he paid $371.93 for the TV. What was the original price before any discounts were taken? What was the total percent discount Hunter got?
Tot. % Disc. = 25 + 10 + 5 = 40.
100% - 40% = 60% Paid
0.60P = $371.93,
P = $619.88 = Original price.
580.01
To find the original price before any discounts were taken, we can work backwards from the final price using the given percentages.
Let's denote the original price as 'P'.
First, Hunter received a 25% discount, so he paid 75% of the original price.
This can be represented as (0.75 * P).
Next, because it was a last year's model, he received an additional 10% discount.
So he paid 90% of the discounted price, which is (0.9 * 0.75 * P).
Simplifying further, we get (0.675 * P).
Finally, he received a 5% discount for paying cash.
So he paid 95% of the last discounted price, which is (0.95 * 0.675 * P).
Simplifying further, we get (0.64125 * P).
We know that Hunter paid $371.93 for the TV, so we can set up the equation:
0.64125 * P = $371.93
To find the value of P, we can divide both sides of the equation by 0.64125:
P = $371.93 / 0.64125
P ≈ $579.77
Therefore, the original price of the TV before any discounts were taken was approximately $579.77.
To find the total percent discount Hunter got, we need to calculate the percentage difference between the original price and the final price.
Discount = (Original Price - Final Price) / Original Price
Discount = ($579.77 - $371.93) / $579.77
Discount ≈ 35.88%
Therefore, Hunter got a total discount of approximately 35.88% on the TV.