Question

Joachim bought a pair of shoes for $40, which was a 20% discount. What was the original price of the shoes?

Answer 1

Answer: The required original price of the shoes was $50.

Step-by-step explanation: Given that Joachim bought a pair of shoes for $40, which was a 20% discount.

We are to find the original price of the shoes.

Let $x represents the original price of the shoes.

Then, according to the given information, we have

`x-20\%* x=40\\\\\Rightarrow x-(20)/(100)* x=40\\\\\Rightarrow x-(x)/(5)=40\\\\\Rightarrow (4x)/(5)=40\\\\\Rightarrow 4x=200\\\\\Rightarrow x=(200)/(4)\\\\\Rightarrow x=50.`

Thus, the required original price of the shoes was $50.

Answer 2

The original price of the shoes was $50

Step-by-step explanation

The original price of the shoe corresponds to 100℅.

A discount of 20℅ means the reduced price of the shoe corresponds to 80℅.

Let the original price be
`x`.

If we find 80% of x, we should get the price at which he bought the shoes.

This means that;

`(80)/(100)x=40`

We solve for x,

`x=(100*40)/(80)`.

We multiply the numerator to obtain,

`x=(4000)/(80)`

`\Rightarrow x=50`.

Therefore the original price was $50