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It is given in the problem that the original price of a shirt was \[\$ 20\] and it was decreased to \[\$ 15\] .

We have to find the percent decrease of the price of this shirt.

Original price of the shirt \[ = \$ 20\]

New price of the shirt \[ = \$ 15\]

First, we find the absolute decrease in the price of the shirt by taking the difference of the original price with the new price.

Absolute change in price \[ = \$ 20 - \$ 15 = \$ 5\]

Now, we know that there is a change of \[\$ 5\] in the price of the shirt.

Now, we get the percent decrease by dividing the absolute change in the price with the original price of the shirt.

Percent decrease \[ = \dfrac{5}{{20}}\]

Percent decrease \[ = 0.25\]

Now, we convert it into the percent by dividing and multiplying it by\[100\].

Percent decrease \[ = \dfrac{{0.25}}{{100}} \times 100\]

Percent decrease \[ = 25\% \]

Original price of the shirt \[ = \$ 20\]

New price of the shirt \[ = \$ 15\]

Usual formula for finding the decrease percent is given as:

Decrease percent \[ = \dfrac{{{\rm{Original\, price}} - {\rm{New price}}}}{{{\rm{Original\, Price}}}} \times 100\]

Substitute original price as \[20\], new price as\[15\] in the above formula:

Decrease percent \[ = \left( {\dfrac{{20 - 15}}{{20}} \times 100} \right)\% \]

Evaluate the decrease percent:

Decrease percent \[ = \left( {\dfrac{5}{{20}} \times 100} \right)\% \]

Decrease percent \[ = \left( {5 \times 5} \right)\% \]

Decrease percent \[ = 25\% \]

Hence, we get that there is a \[25\% \] decrease in the price of the shirt.