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

Correct Answer: 290

To find the value that comes in place of the question mark ($?$), let us represent the unknown value as $x$.

The given equation is:

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

Step 1: Simplify the right-hand side of the equation.

First, divide 147 by 3:

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

Now, add 38 and 49 together:

$38+49=87$

So, the equation simplifies to:

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

Step 2: Express the percentage as a fraction or decimal and solve for $x$.

Write $30\%$ as $\frac{30}{100}$:

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

Multiply both sides by 100 and divide by 30 to isolate $x$:

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

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

$x=290$

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