What approximate value should come in the place of (?) mark :
16.01% of ? + 64.01% of 350.01 = 64.99% of 400

Options

A. 125
B. 225
C. 275
D. 350

Answer

To solve the equation \( 16.01\% \text{ of } ? + 64.01\% \text{ of } 350.01 = 64.99\% \text{ of } 400 \), we will follow these steps:

### Step 1: Simplify the percentages
First, we can approximate the percentages:
- \( 16.01\% \) can be approximated to \( 16\% \)
- \( 64.01\% \) can be approximated to \( 64\% \)
- \( 64.99\% \) can be approximated to \( 65\% \)

So, we rewrite the equation as:
\[ 16\% \text{ of } ? + 64\% \text{ of } 350 = 65\% \text{ of } 400 \]

### Step 2: Calculate \( 64\% \text{ of } 350 \)
Now, calculate \( 64\% \text{ of } 350 \):
\[ 64\% \text{ of } 350 = \frac{64}{100} \times 350 = 0.64 \times 350 = 224 \]

### Step 3: Calculate \( 65\% \text{ of } 400 \)
Next, calculate \( 65\% \text{ of } 400 \):
\[ 65\% \text{ of } 400 = \frac{65}{100} \times 400 = 0.65 \times 400 = 260 \]

### Step 4: Substitute the values into the equation
Now substitute these values back into the equation:
\[ 16\% \text{ of } ? + 224 = 260 \]

### Step 5: Isolate \( ? \)
To isolate \( ? \), subtract \( 224 \) from both sides:
\[ 16\% \text{ of } ? = 260 - 224 \]
\[ 16\% \text{ of } ? = 36 \]

### Step 6: Solve for \( ? \)
Now, we can express \( ? \) in terms of the equation:
\[ 16\% \text{ of } ? = \frac{16}{100} \times ? = 36 \]

To find \( ? \):
\[ ? = \frac{36 \times 100}{16} \]

Calculating this gives:
\[ ? = \frac{3600}{16} = 225 \]

### Final Answer
Thus, the approximate value that should come in place of the question mark is \( 225 \).

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