`125%"of "260+? % "of " 700=500`

Options

A. 32
B. 56
C. 23
D. None of these

Explanation

To solve the equation \( 125\% \text{ of } 260 + ?\% \text{ of } 700 = 500 \), we can follow these steps:

### Step 1: Convert percentages to fractions
First, we convert the percentages into fractions. We know that:
- \( 125\% = \frac{125}{100} = 1.25 \)

### Step 2: Calculate \( 125\% \text{ of } 260 \)
Now, we calculate \( 125\% \text{ of } 260 \):
\[ 1.25 \times 260 = 325 \]

### Step 3: Set up the equation
Now we can rewrite the equation:
\[ 325 + ?\% \text{ of } 700 = 500 \]
Let \( x \) be the unknown percentage. We can express this as:
\[ 325 + \frac{x}{100} \times 700 = 500 \]

### Step 4: Isolate the unknown percentage term
Subtract 325 from both sides:
\[ \frac{x}{100} \times 700 = 500 - 325 \]
\[ \frac{x}{100} \times 700 = 175 \]

### Step 5: Solve for \( x \)
Now, we can multiply both sides by 100 to eliminate the fraction:
\[ x \times 700 = 17500 \]
Now, divide both sides by 700:
\[ x = \frac{17500}{700} \]
\[ x = 25 \]

### Final Answer
Thus, the value of \( ? \) is \( 25\% \).

---