What will come in the place of the question mark ‘?’ in the following question?

$\sqrt[3]{3375}\times 75\%\text{of}\mathrm{ 400}=\frac{?}{2}$

The correct option is 9000.

To find the value of the question mark ‘?’, we evaluate the given equation step-by-step:

$\sqrt[3]{3375}\times 75\%\text{of}400=\frac{?}{2}$

Step 1: Simplify the cube root term
Find the cube root of 3375:

$\sqrt[3]{3375}=15$

Step 2: Simplify the percentage term
Calculate 75% of 400:

$75\%\text{of}400=\frac{75}{100}\times 400=300$

Step 3: Evaluate the left side of the equation
Multiply the two simplified parts:

$15\times 300=4500$

Step 4: Solve for ‘?’
Equate the result to the right side of the given expression:

$4500=\frac{?}{2}$

Multiply both sides by 2:

$?=4500\times 2=9000$

Therefore, the value that comes in place of ‘?’ is 9000.