$(24\%\text{of}1250)÷\frac{3}{4}=?$

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

The correct option is 400.

To find the value that comes in place of the question mark (?), we need to evaluate the given mathematical expression step-by-step.

The expression is:

(24\%\text{of}1250)÷\frac{3}{4}=?

Step 1: Calculate (24% of 1250)

First, convert the percentage into a fraction and multiply by 1250:

24\%\text{of}1250=\frac{24}{100}\times 1250

Simplifying the fraction:

\frac{24\times 1250}{100}=\frac{30000}{100}=300

Step 2: Divide the result by 3/4

Now, substitute 300 back into the main expression:

300÷\frac{3}{4}

Dividing by a fraction is equivalent to multiplying by its reciprocal:

300\times \frac{4}{3}

Simplifying the multiplication:

\frac{300}{3}\times 4=100\times 4=400

Thus, the value of ? is 400.