Direction (41–52): What will come in the place of (?) mark in following question?

$\frac{56}{?}+{\left(8\right)}^3=13\%\text{of}4000$

To find the value that should replace the question mark (?), let us set up the given mathematical equation and solve it step-by-step:

$\frac{56}{x}+{\left(8\right)}^3=13\%\text{of}4000$

where $x$ represents the unknown value (?).

Step 1: Simplify the right-hand side of the equation.
We need to calculate 13% of 4000:
$13\%\text{of}4000=\frac{13}{100}\times 4000$
$13\%\text{of}4000=13\times 40=520$

Step 2: Simplify the exponent term.
We calculate the cube of 8:
$8^3=8\times 8\times 8=512$

Step 3: Substitute these values back into the equation.
Now, substitute 520 and 512 back into the original equation:
$\frac{56}{x}+512=520$

Step 4: Isolate the term containing $x$.
Subtract 512 from both sides of the equation:
$\frac{56}{x}=520-512$
$\frac{56}{x}=8$

Step 5: Solve for $x$.
Rearrange the equation to solve for $x$:
$x=\frac{56}{8}$
$x=7$

Thus, the value that comes in place of the question mark is 7.