$\sqrt{961}+66.67\%\text{of}450=?+20\%\text{of}250$

What will come in the place of question (?) mark in following the question:

The correct option is 281.

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

The given equation is:

$\sqrt{961}+66.67\%\text{of}450=x+20\%\text{of}250$

Step 1: Simplify each term in the equation.

1. Find the square root of 961:

$\sqrt{961}=31$

2. Convert $66.67\%$ into its equivalent fraction:

$66.67\%\approx \frac{2}{3}$

Now, calculate $66.67\%\text{of}450$:

$\frac{2}{3}\times 450=2\times 150=300$

3. Calculate $20\%\text{of}250$:

$20\%=\frac{20}{100}=\frac{1}{5}$

$\frac{1}{5}\times 250=50$

Step 2: Substitute the simplified values back into the equation.

$31+300=x+50$

Step 3: Solve for $x$.

$331=x+50$

$x=331-50$

$x=281$

Thus, the value that comes in place of the question mark (?) is 281.