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A woman traded in her old​ car, which got 40 miles per gallon on the​ highway, and purchased a new​ car, which gets 38 miles per gallon. What is the percent of decrease in​ mileage?

Verified Answer :

when the woman trade in 40 miles to the gallon and got a car for 38 the percent of decrease in mileage is 2% in mileage.

The percent of decrease in​ mileage will be \(5\%\).

What is percentage?

Percentage is  a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

We have,

Mileage of old​ car \(=40\) miles per gallon

And,

Mileage of new​ car \(=38\) miles per gallon

So,

Change in mileage \(=40-38=2\) miles per gallon

Now,

Percent Change in mileage \(=\frac{2}{40} *100\)

Percent Change in mileage \(=5\%\)

i.e.

Percent decrease in mileage \(=5\%\)

Hence we can say that the percent of decrease in​ mileage will be \(5\%\).

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