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A bike is on sale for $125 after 15% reduction. How much was it before the sale?

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seedrasoso | Student, Grade 10 | eNoter

Posted July 26, 2010 at 9:16 AM via web

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A bike is on sale for $125 after 15% reduction. How much was it before the sale?

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pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted July 26, 2010 at 9:20 AM (Answer #1)

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The correct answer to this question is that the bike cost $147.05 before the price was marked down.

The bike's price right now is 125.  That is a 15% reduction.  That means that 125 is 85% of the original price.  With that in mind, we can get the right answer.  We must set up the following equation

125/x = 85/100  This is because 125 is 85% of the original price.  Now we will simply need to cross multiply.  That gets us

85x = 12500

Now we divide both sides by 85.  That gives us $147.05 which is the original price of the bike.

 

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

Posted July 26, 2010 at 9:21 AM (Answer #2)

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The sale price for the bike after price reduction = 125

Let us assume that the original price before sale = x

Then,

Today's price = original price - (15% of original price)

==> 125 = X - (15/100) x

==> 125 = (85/100) x

==> x = 125*100/85 = 147

Then the original price of the bike before sale is $147.

 

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neela | High School Teacher | Valedictorian

Posted July 26, 2010 at 9:30 AM (Answer #3)

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Let the price before sale be x.

Then after 15% reduction its price is x* -15% of x = x -15x/100 = (1-15/100)x = 1- 0.15)x = 0.85x which should be equal to $#125. So,

0.85x = $125.

x = $125/0.85 = $147.06 is the price before reduction.

 

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