What will come in place of (?) in the following questions ?
45% of 600 `div {(25 + 15)% "of 500} = ? div 40`

Options

A. 62
B. 48
C. 54
D. 58

Answer

To solve the given problem step by step, we will follow the order of operations (BODMAS/BIDMAS rules).

**Step 1: Understand the expression**
The expression we need to simplify is:
\[ \frac{45\% \text{ of } 600}{(25 + 15)\% \text{ of } 500} = \frac{?}{40} \]

**Step 2: Calculate 45% of 600**
First, we convert 45% to a fraction:
\[ 45\% = \frac{45}{100} \]
Now, calculate 45% of 600:
\[ \frac{45}{100} \times 600 = \frac{45 \times 600}{100} = \frac{27000}{100} = 270 \]

**Step 3: Calculate (25 + 15)% of 500**
Now, we need to simplify the expression in the denominator:
\[ 25 + 15 = 40 \]
Now, calculate 40% of 500:
\[ 40\% = \frac{40}{100} \]
So,
\[ \frac{40}{100} \times 500 = \frac{40 \times 500}{100} = \frac{20000}{100} = 200 \]

**Step 4: Substitute the values back into the equation**
Now we substitute the values we calculated back into the equation:
\[ \frac{270}{200} = \frac{?}{40} \]

**Step 5: Cross-multiply to solve for ?**
Cross-multiplying gives:
\[ 270 \times 40 = 200 \times ? \]
Calculating the left side:
\[ 270 \times 40 = 10800 \]
So, we have:
\[ 10800 = 200 \times ? \]

**Step 6: Solve for ?**
Now, divide both sides by 200:
\[ ? = \frac{10800}{200} = 54 \]

Thus, the value that comes in place of (?) is:
\[ \boxed{54} \]