# The price of a pair of trousers was decreased by 22% to \$30. What was the original price of the trousers?

Asked on by totoo

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

Posted on

We will assume that the original price before price reduction =  x

The price was decreased by 22%

Then the price after sale = The original [price - the amount reduced

=   x - (22% x)  = 30

But given that the vurrent price ( after reductions) = \$ 30

Then we will write:

x - 22%*x = 30

But 22% = 22/100 = 0.22

==> x - 0.22 x = 30

==> 0.78 x = 30

Now we will divide by 0.78

==> x = 30/ 0.78 = 38.46 ( approx.)

Then the original price of the trousers was = \$ 38.46

neela | High School Teacher | (Level 3) Valedictorian

Posted on

Here the 30 dollar is the result  after decreasing the 22% discount from the original price.

So if the original price is 100%, after decreasing the 22% , the resulting price should be (100-22)% = 78% of the original price.

So the question is if 88%of the original price is \$30, then what should be the original price.

We can now easily see that \$30 should be multiplied by 100/78.

So the original price should be 30*100/88 = \$38.76

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