Question

In a 29% sale, the price of a phone reduced by $78.88.
Find the original price of the phone.

Answer 1

To find the original price of the phone, we can set up an equation using the given information.

Let's break down the information provided in the question:

- The phone had a 29% sale.

- The price of the phone reduced by $78.88.

To find the original price of the phone, we need to determine what 100% of the price represents.

We can set up the equation:

original price - 29% of the original price = reduced price

Mathematically, this can be written as:

original price - 0.29 * original price = reduced price

Simplifying the equation:

0.71 * original price = reduced price

Now, we can substitute the value of the reduced price into the equation to find the original price:

0.71 * original price = $78.88

To isolate the original price, we divide both sides of the equation by 0.71:

original price = $78.88 / 0.71

Calculating this, we find that the original price of the phone is approximately $111.27.

Therefore, the original price of the phone before the 29% sale was approximately $111.27.

Answer 2

The original price of the phone was approximately $270.47

Explanation:

Original price - Discount = Sale price

Let's represent the original price as "P" and the sale price as "S". The discount amount can be found using the percentage decrease formula:

Discount = Original price * Percentage decrease

In this case, the percentage decrease is 29%, represented as 0.29 in decimal form.

So, given that the reduction is $78.88, we have:

P - 0.29P = S

0.71P = S

P = S / 0.71

Substituting the given values:

P = $78.88 / 0.29

P ≈ $270.47