35% of 200 - 45% of 340 = 67 - ?

Options

A. 75
B. 150
C. 100
D. 125

Answer

To solve the equation \( 35\% \text{ of } 200 - 45\% \text{ of } 340 = 67 - ? \), we will follow these steps:

### Step 1: Calculate \( 35\% \text{ of } 200 \)
To find \( 35\% \text{ of } 200 \), we can use the formula:
\[ \text{Percentage} = \frac{\text{Percentage value}}{100} \times \text{Total} \]
So,
\[ 35\% \text{ of } 200 = \frac{35}{100} \times 200 = 0.35 \times 200 = 70 \]

### Step 2: Calculate \( 45\% \text{ of } 340 \)
Next, we calculate \( 45\% \text{ of } 340 \):
\[ 45\% \text{ of } 340 = \frac{45}{100} \times 340 = 0.45 \times 340 = 153 \]

### Step 3: Substitute the values into the equation
Now we substitute the calculated values back into the equation:
\[ 70 - 153 = 67 - ? \]

### Step 4: Simplify the left side of the equation
Now we simplify the left side:
\[ 70 - 153 = -83 \]
So, we have:
\[ -83 = 67 - ? \]

### Step 5: Rearrange the equation to solve for ?
Next, we rearrange the equation to isolate \( ? \):
\[ ? = 67 + 83 \]

### Step 6: Calculate the value of ?
Now we calculate the value of \( ? \):
\[ ? = 150 \]

### Conclusion
Thus, the value of the question mark is \( 150 \).

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