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

Expert Solution

Let x be the original price and y be the absolute decrease. If the price was decreased to $30, then

x - y = 30

y is given by

y = 22% of x = (22 / 100) * x = 0.22 x

Substitute y by 0.22 x in the equation x - y = 30 and solve for x which the original price.

x - 0.22 x = 30

0.78 x = 30

x = $38.5

Check the solution to this problem by reducing the origonal price found $38.5 by 22% and see if it gives $30.

Price is $38.5

Nipun Maity answered 2 years ago

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