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?

To find the original price before any discounts were taken, let's work backward from the final price.

Let's suppose the original price before any discounts were applied was 'X'.

Given that Hunter received a 25% discount on the TV at TV City, the price after the first discount would be 75% of the original price:
Price after 1st discount = X - (25% of X) = X - 0.25X = 0.75X

Since Hunter got an additional 10% discount on the purchase because it was last year's model, the price after the second discount would be 90% of the price after the first discount:
Price after 2nd discount = 0.90 * (0.75X) = 0.675X

Finally, applying a 5% discount for paying cash, the final price would be 95% of the price after the second discount:
Final price = 0.95 * (0.675X) = 0.64125X

Given that the final price Hunter paid was $371.93, we can set up an equation:
0.64125X = $371.93

To find X, we divide both sides of the equation by 0.64125:
X = $371.93 / 0.64125

X ≈ $579.90

Therefore, the original price before any discounts were taken was approximately $579.90.

To calculate the total percent discount Hunter received, we need to calculate the difference between the original price and the final price, and then express it as a percentage of the original price:

Discount = Original price - Final price = $579.90 - $371.93 = $207.97

Total percent discount = (Discount / Original price) * 100% = ($207.97 / $579.90) * 100% ≈ 35.91%

Therefore, Hunter received a total discount of approximately 35.91%.

To find the original price before any discounts were taken, we can work backwards from the final discounted price.

Let's assume the original price of the TV is "x" dollars.

First, the manager offered a 25% discount, so Hunter would only pay 75% of the original price, which is (x * 0.75).

Next, Hunter received an additional 10% discount, so he would only pay 90% of the price after the first discount, which is ((x * 0.75) * 0.90).

Lastly, Hunter received a 5% discount for paying cash, so he would only pay 95% of the price after the second discount, which is (((x * 0.75) * 0.90) * 0.95).

We are given that Hunter paid $371.93 after all the discounts, so we can set up an equation:

(((x * 0.75) * 0.90) * 0.95) = 371.93

Now, we can solve for x by dividing both sides of the equation by the product of the percentages:

x = 371.93 / (((0.75) * 0.90) * 0.95)

x = 371.93 / 0.64125

x ≈ 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 can compare the original price with the final discounted price:

Total percent discount = 100% - ((Final discounted price / Original price) * 100%)

Total percent discount = 100% - ((371.93 / 579.77) * 100%)

Total percent discount ≈ 36.04%

Therefore, Hunter got a total percent discount of approximately 36.04%.