Question

Sam 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 Sam
wanted was last year's model sO he got an additional 10% discount on his
purchase. When he got to the cash register, he found
out he would save even
more because
the store offered a 5% discount for paying cash. These
discounts were applied
successively, and he paid $371.93 for the TV. What
was the original price before any discounts were taken?
What was the total percent
discount Sam got?

Answer 1

Sam's original TV price was $580.00 before discounts, and after successive discounts of 25%, 10%, and 5%, he paid $371.93. By reversing the discounts, we calculated the original price and found the total percent discount Sam received was approximately 35.88%.

Step-by-step explanation:

To determine the original price before any discounts, we need to reverse the series of percentage discounts applied to Sam's TV price. Sam received three successive discounts: 25%, an additional 10%, and a final 5% for paying in cash. The final price he paid was $371.93.

First, we'll reverse the last discount. To find the price before the 5% cash discount, we divide the final price by (1 - 0.05), which is $371.93 / 0.95.

Next, we reverse the 10% additional discount by dividing by (1 - 0.10).

Lastly, we reverse the initial 25% discount by dividing by (1 - 0.25).

Calculations:

1. Price before 5% cash discount: $371.93 / 0.95 = $391.50
2. Price before additional 10% discount: $391.50 / 0.90 = $435.00
3. Original price before 25% discount: $435.00 / 0.75 = $580.00

The original price of the TV before any discounts was $580.00.

To calculate the total percent discount received, we consider the original price and the final price paid. The difference is the total savings, which is $580.00 - $371.93 = $208.07. The total percent discount is then ($208.07 / $580.00) * 100, which gives us a total discount of approximately 35.88%.

Answer 2

1/ Total percent of discount is 40%

2/ The original price is $520.70

Step-by-step explanation:

1/ We add a 25% discount on every TV store, a 10% discount on purchases, 5% discount for paying cash, so the total is a 40% discount.

2/ Now, let's find the original price

100% - 40% = 60%

We know that the 60% he has to pay is $371.93, so we have to find the 40% discount.

40% = 0.4

Take 371.93 times 0.4 = $148.77

Then we add both numbers together

148.77 + 371.93 = $520.70