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

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

The correct option is 7.

To find the value that should replace the question mark (?), let us represent it as $x$. The given equation is:

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

We will solve this step-by-step by simplifying the terms on both sides of the equation.

Step 1: Simplify the cube of 8
Calculate the value of 8 cubed:
$8^3=8\times 8\times 8=512$

Step 2: Calculate 13% of 4000
Calculate 13% of 4000:
$13\%\text{of}4000=\frac{13}{100}\times 4000=13\times 40=520$

Step 3: Substitute the simplified values back into the equation
Replacing these values in our original equation gives:
$\frac{56}{x}+512=520$

Step 4: Solve for $x$
Subtract 512 from both sides of the equation:
$\frac{56}{x}=520-512$
$\frac{56}{x}=8$
Now, solve for $x$ by rearranging the terms:
$8x=56$
$x=\frac{56}{8}$
$x=7$

Therefore, the value that should come in the place of the question mark is 7.