Answered

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

Sagot :

iciclepiano18

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:

[tex]x\%\times 250=50[/tex]

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

[tex]\frac{x}{100}\times250=50[/tex]

[tex]\frac{250x}{100}=50[/tex]

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

[tex]\frac{25x}{10}=50[/tex]

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

[tex]\frac{5x}{2}=50[/tex]

Multiply both sides by two

[tex]5x=100[/tex]

Divide both sides by 5

[tex]x=20[/tex]

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

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