$37.5\%\text{of}\mathrm{ 959.96}=5600.05÷6.85-(?\times 2.12)$

What approximate value will come in the place of question (?) mark in the following given questions?

To find the approximate value of the question mark (?), we can round the numbers in the given equation to their nearest whole numbers or standard fractions to make the calculation simpler.

The given equation is:

$37.5\%\text{of}959.96=5600.05÷6.85-(?\times 2.12)$

Let us approximate each term one by one:

1. 37.5% of 959.96:
We know that $37.5\%$ is equivalent to the fraction $\frac{3}{8}$.
We can round $959.96$ to $960$.
Now, calculate the value:
$\frac{3}{8}\times 960=3\times 120=360$

2. 5600.05 ÷ 6.85:
We can round $5600.05$ to $5600$ and $6.85$ to $7$.
Now, perform the division:
$5600÷7=800$

3. ? × 2.12:
We can round $2.12$ to $2$.
Let the question mark be $x$.
So, this term becomes $x\times 2$ or $2x$.

Now, substitute these approximated values back into the equation:

$360\approx 800-2x$

Rearranging the equation to solve for $x$:

$2x\approx 800-360$

$2x\approx 440$

$x\approx \frac{440}{2}$

$x\approx 220$

Therefore, the approximate value that should replace the question mark is 220.