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

Answer:

29.68%

Step-by-step 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 = $\frac{\text{Rent after increase}}{\text {Take- home pay after increase}} \times 100$

                          = $\frac{950}{3200}\times 100$  

                          = $\frac{950}{32}$  

                          = $29.68\%$  

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

Answer 2

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".