13% of 190 + ? = 111

Options

A. 68.7
B. 93.3
C. 24.7
D. None of these

Explanation

To solve the equation \( 13\% \text{ of } 190 + ? = 111 \), we need to find the value of the question mark (denoted as \( x \)). Here’s the step-by-step solution:

### Step 1: Calculate 13% of 190
To find 13% of 190, we can use the formula for percentage:
\[ \text{Percentage} = \frac{\text{Percentage Rate}}{100} \times \text{Total} \]
So, we calculate:
\[ 13\% \text{ of } 190 = \frac{13}{100} \times 190 \]

### Step 2: Simplify the calculation
Now, we can simplify this:
\[ \frac{13 \times 190}{100} = \frac{2470}{100} = 24.7 \]

### Step 3: Set up the equation
Now, we can substitute this value back into the equation:
\[ 24.7 + x = 111 \]

### Step 4: Isolate \( x \)
To find \( x \), we need to isolate it by moving 24.7 to the other side of the equation:
\[ x = 111 - 24.7 \]

### Step 5: Perform the subtraction
Now, we perform the subtraction:
\[ x = 111 - 24.7 = 86.3 \]

### Final Answer
Thus, the value of the question mark \( x \) is:
\[ \boxed{86.3} \]

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