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

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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.

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.

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.