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

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

To find the value that should replace the question mark (?), we can write down the given equation:
$30\%\text{of}?=38+\frac{147}{3}$

First, let us simplify the right-hand side of the equation.
We begin by calculating the division term:
$\frac{147}{3}=49$

Now, substitute this back into the equation:
$30\%\text{of}?=38+49$

Next, add the numbers on the right-hand side:
$38+49=87$
So, the equation becomes:
$30\%\text{of}?=87$

We can express $30\%$ as a fraction:
$\frac{30}{100}\times ?=87$
Simplifying the fraction:
$\frac{3}{10}\times ?=87$

To solve for (?), multiply both sides of the equation by $\frac{10}{3}$:
$?=87\times \frac{10}{3}$

Divide 87 by 3:
$\frac{87}{3}=29$

Now, multiply 29 by 10:
$?=29\times 10=290$

Thus, the correct answer is 290.