35% of 200-45 % of 340 = ? -150

Options

A. 67
B. 233
C. 57
D. 333

Answer

To solve the equation \( 35\% \text{ of } 200 - 45\% \text{ of } 340 = ? - 150 \), we will follow these steps:

### Step 1: Calculate \( 35\% \text{ of } 200 \)

To find \( 35\% \text{ of } 200 \), we can convert the percentage to a fraction and multiply:

\[ 35\% = \frac{35}{100} \]

Now, we calculate:

\[ 35\% \text{ of } 200 = \frac{35}{100} \times 200 \]

Calculating this gives:

\[ = \frac{35 \times 200}{100} = \frac{7000}{100} = 70 \]

### Step 2: Calculate \( 45\% \text{ of } 340 \)

Similarly, for \( 45\% \text{ of } 340 \):

\[ 45\% = \frac{45}{100} \]

Now, we calculate:

\[ 45\% \text{ of } 340 = \frac{45}{100} \times 340 \]

Calculating this gives:

\[ = \frac{45 \times 340}{100} = \frac{15300}{100} = 153 \]

### Step 3: Substitute the values into the equation

Now we substitute the calculated values back into the equation:

\[ 70 - 153 = ? - 150 \]

### Step 4: Simplify the left side

Calculating the left side:

\[ 70 - 153 = -83 \]

So, we have:

\[ -83 = ? - 150 \]

### Step 5: Solve for \( ? \)

To find \( ? \), we add 150 to both sides:

\[ ? = -83 + 150 \]

Calculating this gives:

\[ ? = 67 \]

### Final Answer

Thus, the value of \( ? \) is \( 67 \).

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