Find the approximate value of (?) in the following questions.
15.03% of ? = 1497.03 - 682.991 - 777.995

Options

A. 240
B. 280
C. 150
D. 360

Answer

To find the approximate value of (?) in the equation \( 15.03\% \text{ of } ? = 1497.03 - 682.991 - 777.995 \), we will follow these steps:

### Step 1: Simplify the right-hand side of the equation
First, we need to calculate the right-hand side:
\[ 1497.03 - 682.991 - 777.995 \]

Calculating \( 682.991 + 777.995 \):
\[ 682.991 + 777.995 = 1460.986 \]

Now, subtract this sum from 1497.03:
\[ 1497.03 - 1460.986 = 36.044 \]

### Step 2: Set up the equation
Now we can rewrite the equation:
\[ 15.03\% \text{ of } ? = 36.044 \]

### Step 3: Convert percentage to decimal
Convert \( 15.03\% \) to decimal:
\[ 15.03\% = \frac{15.03}{100} = 0.1503 \]

### Step 4: Write the equation in terms of ?
We can express the equation as:
\[ 0.1503 \times ? = 36.044 \]

### Step 5: Solve for ?
To find \( ? \), divide both sides by \( 0.1503 \):
\[ ? = \frac{36.044}{0.1503} \]

### Step 6: Calculate the value
Now, we perform the division:
\[ ? \approx 239.76 \]

### Step 7: Round to the nearest whole number
Since we are looking for an approximate value, we round \( 239.76 \) to the nearest whole number:
\[ ? \approx 240 \]

### Final Answer
Thus, the approximate value of \( ? \) is \( 240 \).

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