What will come in place of the question-mark (2) in the following questions?
42% of ?+ 18% of 400 = 219

Options

A. 370
B. 360
C. 350
D. 340

Answer

To solve the equation \( 42\% \text{ of } ? + 18\% \text{ of } 400 = 219 \), we will follow these steps:

### Step 1: Define the variable
Let \( x \) be the value that will replace the question mark. Therefore, we can rewrite the equation as:
\[ 42\% \text{ of } x + 18\% \text{ of } 400 = 219 \]

### Step 2: Convert percentages to fractions
Convert the percentages into fractions:
\[ 42\% = \frac{42}{100} \quad \text{and} \quad 18\% = \frac{18}{100} \]
Substituting these into the equation gives:
\[ \frac{42}{100} x + \frac{18}{100} \times 400 = 219 \]

### Step 3: Calculate \( 18\% \text{ of } 400 \)
Now, calculate \( 18\% \text{ of } 400 \):
\[ \frac{18}{100} \times 400 = \frac{7200}{100} = 72 \]
So, the equation now becomes:
\[ \frac{42}{100} x + 72 = 219 \]

### Step 4: Isolate the term with \( x \)
Next, isolate the term with \( x \) by subtracting 72 from both sides:
\[ \frac{42}{100} x = 219 - 72 \]
Calculating the right side:
\[ 219 - 72 = 147 \]
Thus, we have:
\[ \frac{42}{100} x = 147 \]

### Step 5: Solve for \( x \)
To solve for \( x \), multiply both sides by \( \frac{100}{42} \):
\[ x = 147 \times \frac{100}{42} \]

### Step 6: Simplify the expression
Now, simplify \( 147 \times \frac{100}{42} \):
\[ x = \frac{14700}{42} \]
Calculating \( \frac{14700}{42} \):
\[ 14700 \div 42 = 350 \]
So, \( x = 350 \).

### Final Answer
The value that will come in place of the question mark is:
\[ \boxed{350} \]