ln the following questions in the place of question mark which sign would be prefered.
[38% of 650 - 55] ? [32% of 750 - 42]

Options

A. `gt` (greater than)
B. `=`(equal to)
C. `lt` (less than)
D. `ge`(either greater than or equal to)

Answer

To solve the question, we need to evaluate the two expressions and determine the relationship between them. Let's break it down step by step.

### Step 1: Calculate 38% of 650
To find 38% of 650, we can use the formula:
\[ \text{Percentage} = \left(\frac{\text{Percentage Value}}{100}\right) \times \text{Total} \]
So, we calculate:
\[ 38\% \text{ of } 650 = \frac{38}{100} \times 650 \]
Calculating this gives:
\[ = \frac{38 \times 650}{100} = \frac{24700}{100} = 247 \]

### Step 2: Subtract 55 from the result
Now, we need to subtract 55 from the result we obtained in Step 1:
\[ 247 - 55 = 192 \]

### Step 3: Calculate 32% of 750
Next, we calculate 32% of 750 using the same formula:
\[ 32\% \text{ of } 750 = \frac{32}{100} \times 750 \]
Calculating this gives:
\[ = \frac{32 \times 750}{100} = \frac{24000}{100} = 240 \]

### Step 4: Subtract 42 from the result
Now, we subtract 42 from the result we obtained in Step 3:
\[ 240 - 42 = 198 \]

### Step 5: Compare the two results
Now we have:
- From the first expression: \(192\)
- From the second expression: \(198\)

We need to determine the relationship between these two results:
\[ 192 \, ? \, 198 \]
Since \(198\) is greater than \(192\), we can conclude:
\[ 192 < 198 \]

### Final Answer
Thus, the sign that should be placed in the question mark is:
\[ < \]