$\frac{276.02}{12.03}\times \frac{79.99}{115.01}\times ?=31.99\%\text{of}\mathrm{ 199.98}$

Find the approximate value of question marks (?) in following questions?

The correct option is 4.

To find the approximate value of the question mark (?), we round off the numbers in the given expression to their nearest whole values to make calculations simpler:

• 276.02 ≈ 276
• 12.03 ≈ 12
• 79.99 ≈ 80
• 115.01 ≈ 115
• 31.99% ≈ 32%
• 199.98 ≈ 200

Substituting these rounded numbers back into the given equation, we get:

$\frac{276}{12}\times \frac{80}{115}\times ?=32\%\text{of}200$

Now, let's solve the right-hand side (RHS) of the equation first:

$32\%\text{of}200=\frac{32}{100}\times 200=64$

Next, let's simplify the left-hand side (LHS) of the equation:

$\frac{276}{12}=23$

Using 23 in the fraction multiplication:

$23\times \frac{80}{115}=\frac{80}{5}=16$

Equating LHS to RHS:

$16\times ?=64$

Solving for ?:

$?=\frac{64}{16}=4$

Therefore, the approximate value of (?) is 4.