What approximate value should come in the place of question (?) mark:

$15.98\%\text{ of }25.05\%\text{ of }599+(6.97\times 21.98)=?\times 4.04$

The correct option is 45.

We are asked to find the approximate value of the question mark (?) in the given mathematical equation:

$15.98\%\text{ of }25.05\%\text{ of }599+(6.97\times 21.98)=?\times 4.04$

Step 1: Round off the values to their nearest whole numbers for approximation.
- 15.98% ≈ 16%
- 25.05% ≈ 25%
- 599 ≈ 600
- 6.97 ≈ 7
- 21.98 ≈ 22
- 4.04 ≈ 4

Step 2: Substitute the approximated values into the equation:

$16\%\text{ of }25\%\text{ of }600+(7\times 22)=?\times 4$

Step 3: Calculate each term step-by-step.
First, evaluate 25% of 600:
$25\%\text{ of }600=\frac{25}{100}\times 600=150$

Next, evaluate 16% of 150:
$16\%\text{ of }150=\frac{16}{100}\times 150=24$

Next, evaluate the product within parentheses:
$7\times 22=154$

Step 4: Combine the simplified parts on the left-hand side.
Left Hand Side (LHS) = 24 + 154 = 178

Step 5: Solve for the question mark (?).
Set LHS equal to RHS:
$178=?\times 4$

$?=\frac{178}{4}=44.5$

Since 44.5 is approximately equal to 45, the required approximate value is 45.