What will come in the place of question mark (?) in the following questions?
$75\%\text{of}?=\sqrt{400\times 5+25}$

To find the value that replaces the question mark (?), we can set up the given mathematical statement as an equation. Let the unknown value be represented by $x$:

$75\%\text{of}x=\sqrt{400\times 5+25}$

We can solve this step-by-step by simplifying the right-hand side first and then solving for $x$.

Step 1: Simplify the expression inside the square root
Following the standard order of operations, we first perform the multiplication inside the square root, and then the addition:
$400\times 5=2000$

Now, add 25 to the result:
$2000+25=2025$

Step 2: Calculate the square root
Now we find the square root of 2025:
$\sqrt{2025}=45$
(Since $45\times 45=2025$)

Step 3: Solve the simplified equation
Now substitute this back into our original equation:
$75\%\text{of}x=45$

Convert the percentage to a fraction to make it easier to solve. We know that:
$75\%=\frac{75}{100}=\frac{3}{4}$

Now rewrite the equation:
$\frac{3}{4}\times x=45$

To isolate $x$, multiply both sides of the equation by $\frac{4}{3}$:
$x=45\times \frac{4}{3}$

$x=15\times 4$

$x=60$

Therefore, the value that comes in place of the question mark is 60.