Question

Allen's monthly take-home pay is $3000, and his monthly rent is $750. If both his monthly take-home pay and his rent increase by $200, what percentage of Allen's take-home pay will be used to pay rent?

Answer 1

well, if they both increase by 200 each, that means his take-home pay is 3200 and his rent is 950

ok... if we take 3200 as the 100%, what is 950 in percentage of it?


`\bf \begin{array}{ccllll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 3200&100\\ 950&x \end{array}\implies \cfrac{3200}{950}=\cfrac{100}{x}`

solve for "x".

Answer 2

29.68%

Explanation:

Allen's monthly take-home pay is $3000

His monthly rent is $750

Now both his monthly take-home pay and his rent increase by $200

So, After increase Allen's monthly take-home pay =$3000+$200= $3200

After increase His monthly rent = $750+200=$950

Now we are supposed to find what percentage of Allen's take-home pay will be used to pay rent

So, percentage =
`\frac{\text{Rent after increase}}{\text {Take- home pay after increase}} * 100`

=
`(950)/(3200)* 100`

=
`(950)/(32)`

=
`29.68\%`

Hence 29.68% of Allen's take-home pay will be used to pay rent.