What will come in place of question mark(?) in the following questions?
`2/3" of " 12/5" of "75% " of " 540=?`

Options

A. 378
B. 756
C. 252
D. 332

Answer

To solve the problem step by step, we need to evaluate the expression given:

**Expression:** \( \frac{2}{3} \) of \( \frac{12}{5} \) of \( 75\% \) of \( 540 \)

### Step 1: Convert percentages to fractions
First, we convert \( 75\% \) into a fraction:
\[ 75\% = \frac{75}{100} = \frac{3}{4} \]

### Step 2: Rewrite the expression
Now, we can rewrite the original expression using the fraction for \( 75\% \):
\[ \frac{2}{3} \times \frac{12}{5} \times \frac{3}{4} \times 540 \]

### Step 3: Calculate \( \frac{3}{4} \times 540 \)
Next, we calculate \( \frac{3}{4} \) of \( 540 \):
\[ \frac{3}{4} \times 540 = \frac{3 \times 540}{4} = \frac{1620}{4} = 405 \]

### Step 4: Substitute back into the expression
Now we substitute \( 405 \) back into the expression:
\[ \frac{2}{3} \times \frac{12}{5} \times 405 \]

### Step 5: Calculate \( \frac{12}{5} \times 405 \)
Next, we calculate \( \frac{12}{5} \) of \( 405 \):
\[ \frac{12}{5} \times 405 = \frac{12 \times 405}{5} = \frac{4860}{5} = 972 \]

### Step 6: Substitute back into the expression
Now we substitute \( 972 \) back into the expression:
\[ \frac{2}{3} \times 972 \]

### Step 7: Calculate \( \frac{2}{3} \times 972 \)
Finally, we calculate \( \frac{2}{3} \) of \( 972 \):
\[ \frac{2}{3} \times 972 = \frac{2 \times 972}{3} = \frac{1944}{3} = 648 \]

### Conclusion
Thus, the value that comes in place of the question mark is:
\[ \boxed{648} \]

---