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

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

The correct answer is 25 (Option 25).

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

The given equation is:

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

Step 1: Simplify the Right-Hand Side (RHS)
We know that ${10}^3=1000$.
Substitute this into the RHS:

$\text{RHS}=1000-717=283$

Step 2: Simplify the terms on the Left-Hand Side (LHS)
First, evaluate $33\frac{1}{3}\%$ as a fraction:
$33\frac{1}{3}\%=\frac{100}{3}\%=\frac{1}{3}$

Now, calculate $33\frac{1}{3}\%\text{of}750$:

$\frac{1}{3}\×750=250$

Step 3: Substitute back into the main equation and solve for $x$

$\frac{x}{100}\×132+250=283$

Subtract 250 from both sides:

$\frac{x}{100}\×132=283-250$

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

Solve for $x$:

$132x=33\×100$

$132x=3300$

$x=\frac{3300}{132}=25$

Thus, the value that should come in place of (?) is 25.