What approximate value will come in place of question mark(?) in the given question? (You are not expected to calculate the exact value.)
`125% 260+ ?%` of 700=500

Options

A. 32
B. 56
C. 23
D. 25

Answer

To find the approximate value that will come in place of the question mark (?) in the equation \( 125\% \times 260 + ?\% \times 700 = 500 \), we can follow these steps:

### Step 1: Convert percentages to fractions
We know that \( 125\% \) can be expressed as \( \frac{125}{100} = 1.25 \).

### Step 2: Calculate \( 125\% \) of \( 260 \)
Now, we calculate \( 1.25 \times 260 \):
\[ 1.25 \times 260 = \frac{125}{100} \times 260 = \frac{125 \times 260}{100} \]
To simplify, we can cancel out the zeros:
\[ = \frac{125 \times 26}{10} = 325 \]

### Step 3: Set up the equation
Now, we substitute this back into the equation:
\[ 325 + ?\% \times 700 = 500 \]

### Step 4: Isolate the term with the question mark
We can isolate the term with the question mark by subtracting \( 325 \) from both sides:
\[ ?\% \times 700 = 500 - 325 \]
\[ ?\% \times 700 = 175 \]

### Step 5: Convert the percentage to a fraction
Let \( ? \) be represented as \( x \):
\[ \frac{x}{100} \times 700 = 175 \]

### Step 6: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x \times 7 = 175 \]
Now, divide both sides by \( 7 \):
\[ x = \frac{175}{7} = 25 \]

### Conclusion
Thus, the approximate value that will come in place of the question mark (?) is \( 25 \).