Question

The price of a television was reduced from 250 to 200. by what percentage was the price of the television reduced

Answer 1

20%

Explanation:

We can start by finding out how much the price of the television was reduced by.

250 - 200 = 50

Now, we need to know what percent of 250 is 50? Let x represent the percent of 250 that is 50. Using this, we can set up an equation:

`x\%* 250=50`

Notice that a percentage can also be written as that number over 100.

`(x)/(100)*250=50`

`(250x)/(100)=50`

Reduce the fraction (250 and 100 have a common factor of 10)

`(25x)/(10)=50`

Reduce the fraction again (25 and 10 have a common factor of 5)

`(5x)/(2)=50`

Multiply both sides by two

`5x=100`

Divide both sides by 5

`x=20`

Therefore the price of the television was reduced by 20%.