The Computer Store has reduced the price of a computer by 15% What is the original price of the computer if the sale price is $1275?

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

Assume that the original Price before the sale is x

The store reduced it by 15%

Then the reduced price is 15/100 of x OR (15/100)x

Then toady's price = original price - reduced Price

1275 = x- (15/100)x

1275 = (85/100)x

==> x= 1275*100/85= 1500

Then the original price before sale is $1500

pohnpei397's profile pic

pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted on

To answer this, we first set up the following equation.

85/100 = 1275/x

We can do this because we know that the relationship between 85 and 100 is the same as the relationship between 1275 and the original price of the computer.

Now we can solve this by cross multiplying.  That will give us the equation

85x = 127500

So now we can divide both sides by 85.  That gives us

x = 1500.

That means that the original price of the computer was $1500 before its price was reduced by the 15%.

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

After reduction of 15%, the sale price is (100-15)% = 85% of the original price.

So 85% of the original price = $1275.

(85/100)* Original price = $1275. Multiply by 100/85 both sides.

(100/85)(85/100)*Original price = $(100/85)1275

1 * Original price =  $(127500/85)

=  $1500.

So the original price = $1500.

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