$?\%\text{of}132+33\frac{1}{3}\%\text{of}750={\left(10\right)}^3-717$

What value should come in place of (?) in the following questions?

The correct option is 25.

Let the missing value in place of the question mark (?) be denoted as $x$.

The given equation can be written as:

$(\frac{x}{100}\times 132)+(33\frac{1}{3}\%\text{of}750)={10}^3-717$

Step 1: Simplify the percentage term $33\frac{1}{3}\%$.

We know that $33\frac{1}{3}\%=\frac{100}{3}\%=\frac{1}{3}$.

So, $33\frac{1}{3}\%\text{of}750=\frac{1}{3}\times 750=250$.

Step 2: Simplify the right-hand side of the equation.

${10}^3-717=1000-717=283$

Step 3: Substitute the simplified values back into the equation.

$\frac{132x}{100}+250=283$

Step 4: Solve for $x$.

Subtract 250 from both sides:

$\frac{132x}{100}=283-250$

$\frac{132x}{100}=33$

Now, multiply both sides by 100 and divide by 132:

$x=\frac{33\times 100}{132}$

Since $132=33\times 4$:

$x=\frac{100}{4}=25$

Therefore, the value that comes in place of (?) is 25.