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2 votes
A store offers a 4% discount if a consumer

pays cash rather than paying by credit card.

If the cash price of an item is $84.00, what is

the credit-card purchase price of the same

item?

User CryptoFool
by
4.4k points

2 Answers

5 votes

Final answer:

The credit-card purchase price of the item is $87.50.

Step-by-step explanation:

To find the credit-card purchase price, we need to calculate the original price before the 4% discount. Let's call the original price x.

Since the cash price is $84.00, the cash price is equal to 96% (100% - 4%) of the original price:

x * 0.96 = $84.00

To solve for x, we divide both sides of the equation by 0.96:

x = $84.00 / 0.96 = $87.50

Therefore, the credit-card purchase price of the same item is $87.50.

User Kmdent
by
4.4k points
2 votes

Answer:

The credit card purchase price of the same item is $87.5

Step-by-step explanation:

Here, we are interested in calculating the credit-card purchase price of an item if we are given the cash price

Since there is a 4% discount on the cash; the percentage paid will be 100-4% = 96%

So what we are saying is that, it is 96% of the credit cash purchase that was paid as cash;

Let the credit card purchase be $x

96% of x = 84

96/100 * x = 84

96x = 100 * 84

x = 8400/96

x = 87.5

Thus, the credit card purchase price of the same item is $87.5

User Rhlee
by
4.6k points