What approximate value will come in place of the question mark(?) in the given questions? (You are not expected to calculate exact value)
`?%of 259.96-28.02=153.96`

Options

A. 55
B. 80
C. 60
D. 70

Answer

To solve the equation \( ?\% \text{ of } 259.96 - 28.02 = 153.96 \), we will follow these steps:

### Step 1: Rewrite the equation
We can rewrite the equation in a simpler form by substituting the percentage with a fraction:
\[ \frac{?}{100} \times 259.96 - 28.02 = 153.96 \]

### Step 2: Approximate the numbers
To make calculations easier, we can round the numbers:
- Approximate \( 259.96 \) to \( 260 \)
- Approximate \( 28.02 \) to \( 28 \)
- Approximate \( 153.96 \) to \( 154 \)

So, the equation becomes:
\[ \frac{?}{100} \times 260 - 28 = 154 \]

### Step 3: Isolate the percentage term
Now, we can isolate the percentage term by adding \( 28 \) to both sides:
\[ \frac{?}{100} \times 260 = 154 + 28 \]
\[ \frac{?}{100} \times 260 = 182 \]

### Step 4: Solve for the percentage
To find \( ? \), we will multiply both sides by \( 100 \) and then divide by \( 260 \):
\[ ? = \frac{182 \times 100}{260} \]

### Step 5: Simplify the fraction
Now, we can simplify \( \frac{182}{260} \):
\[ \frac{182}{260} = \frac{91}{130} \text{ (dividing both numerator and denominator by 2)} \]

### Step 6: Calculate the approximate value
Now, we can calculate:
\[ ? \approx \frac{91}{130} \times 100 \]
Calculating \( \frac{91}{130} \) gives approximately \( 0.7 \), so:
\[ ? \approx 70 \]

### Conclusion
Thus, the approximate value that will come in place of the question mark (?) is **70**.