Question

The price for the certain item was decreased by 25% and then by 65%. By what percent was the price decreased?

Answer 1

90% I would believe that might be right

Answer 2

56.25%

Explanation:

Let the price of item be x

It was decreased by 25%

So, Price after decrease of 25% =
`x-25\% * x`

=
`x-(25)/(100)x`

=
`(75)/(100)x`

Now It was decreased by 65%

So, Price after decrease of 65% =
`(75)/(100)x-25\% * ((75)/(100)x)`

=
`((75)/(100)x)-(25)/(100)((75)/(100)x)`

=
`(9)/(16)x`

So, new price =
`(9)/(16)x`

The price decreased by percent =
`\frac{\text{New price}}{\text{original price}} * 100`

=
`((9)/(16)x)/(x) * 100`

=
`56.25\%`

Hence the price was decreased by 56.25%