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

Posted on

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.

Posted on

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.

Posted on

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.