Question

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

Answer 1

Answer:

20%

Step-by-step 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:

<u />$x\%\times 250=50$

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

$\frac{x}{100}\times250=50$

$\frac{250x}{100}=50$

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

$\frac{25x}{10}=50$

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

$\frac{5x}{2}=50$

Multiply both sides by two

$5x=100$

Divide both sides by 5

$x=20$

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