43% of `600 + ? % ` of 300=399

Options

A. 45
B. 41
C. 42
D. 47

Explanation

To solve the equation \( 43\% \) of \( 600 + ?\% \) of \( 300 = 399 \), we can follow these steps:

### Step 1: Calculate \( 43\% \) of \( 600 \)
To find \( 43\% \) of \( 600 \), we can use the formula:
\[ \text{Percentage} = \frac{\text{Percentage Value}}{100} \times \text{Total Value} \]
So,
\[ 43\% \text{ of } 600 = \frac{43}{100} \times 600 \]
Calculating this gives:
\[ = \frac{43 \times 600}{100} = \frac{25800}{100} = 258 \]

### Step 2: Set up the equation
Now we can substitute this value back into the original equation:
\[ 258 + ?\% \text{ of } 300 = 399 \]
Let \( x \) be the percentage we are looking for. Thus, we rewrite it as:
\[ 258 + \frac{x}{100} \times 300 = 399 \]

### Step 3: Isolate the percentage term
To isolate \( \frac{x}{100} \times 300 \), we subtract \( 258 \) from both sides:
\[ \frac{x}{100} \times 300 = 399 - 258 \]
Calculating the right side gives:
\[ 399 - 258 = 141 \]
So we have:
\[ \frac{x}{100} \times 300 = 141 \]

### Step 4: Solve for \( x \)
Next, we can simplify \( \frac{x}{100} \times 300 \):
\[ \frac{300x}{100} = 141 \]
This simplifies to:
\[ 3x = 141 \]
Now, divide both sides by \( 3 \):
\[ x = \frac{141}{3} = 47 \]

### Conclusion
Thus, the value of \( ? \) is \( 47 \).

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