Respuesta :

Answer:

75

Explanation:

First, we need to convert 12 1/2% into decimal, so:

[tex]\begin{gathered} 12\frac{1}{2}\text{ \% = (12 + 1/2)\%}=(12+0.5)\text{ \% = 12.5\%} \\ 12.5\text{ \% = }\frac{12.5}{100}=0.125 \end{gathered}[/tex]

It means that 12 1/2 % is equivalent to 0.125

Now, to find the percentage we need to use the following equation:

[tex]\text{Base = }\frac{Portion}{Rate}[/tex]

Where the base is the total value, the portion is part of that value, and the rate is the decimal that corresponds to that part.

So, in this case, the Base is 600, the rate is 0.125, and we need to find the portion.

[tex]600=\frac{\text{Portion}}{0.125}[/tex]

Then, multiplying both sides by 0.125:

[tex]\begin{gathered} 600\times0.125=\frac{\text{Portion}}{0.125}\times0.125 \\ 75=\text{Portion} \end{gathered}[/tex]

Therefore, 12 1/2% of 600 is 75.