$30\%\text{of}?=38+\frac{147}{3}$ What value should come in place of question mark?

The correct option is 290.

Step-by-Step Solution:

Let the unknown value represented by the question mark ($?$) be $x$.

The given equation is:

$30\%\text{of}x=38+\frac{147}{3}$

First, simplify the division on the right-hand side of the equation:

$\frac{147}{3}=49$

Now, substitute this back into the equation:

$30\%\text{of}x=38+49$

Add the numbers on the right-hand side:

$38+49=87$

So, the equation becomes:

$30\%\text{of}x=87$

Convert the percentage into a fraction:

$\frac{30}{100}\times x=87$

Solve for $x$:

$x=\frac{87\times 100}{30}$

$x=\frac{8700}{30}$

$x=290$

Therefore, the value that should come in place of the question mark is 290.