What is the value of [(11% of 1200) + (10% of 1400)]/(2% of 250)?

Options

A. 48.2
B. 54.4
C. 72.8
D. 38.4

Answer

To solve the problem step by step, we will calculate each part of the expression separately and then combine them according to the operations specified.

### Step 1: Calculate 11% of 1200
To find 11% of 1200, we can use the formula:
\[ \text{Percentage} = \left(\frac{\text{Percentage Rate}}{100}\right) \times \text{Total} \]
So,
\[ 11\% \text{ of } 1200 = \left(\frac{11}{100}\right) \times 1200 = 132 \]

### Step 2: Calculate 10% of 1400
Next, we calculate 10% of 1400:
\[ 10\% \text{ of } 1400 = \left(\frac{10}{100}\right) \times 1400 = 140 \]

### Step 3: Add the results from Step 1 and Step 2
Now, we add the results from Step 1 and Step 2:
\[ 132 + 140 = 272 \]

### Step 4: Calculate 2% of 250
Next, we calculate 2% of 250:
\[ 2\% \text{ of } 250 = \left(\frac{2}{100}\right) \times 250 = 5 \]

### Step 5: Divide the sum from Step 3 by the result from Step 4
Now, we divide the sum obtained in Step 3 by the result from Step 4:
\[ \frac{272}{5} = 54.4 \]

### Final Answer
Thus, the value of the expression \(\frac{(11\% \text{ of } 1200) + (10\% \text{ of } 1400)}{(2\% \text{ of } 250)}\) is:
\[ \boxed{54.4} \]