What approximate value will come in place of (?) in the following questions ?
`234.01 xx (?)/(12.99) - 29.9% "of 499.9" = 810.01 div 26.98`

Options

A. 30
B. 20
C. 15
D. 10

Answer

To solve the equation step by step, let's break it down.

### Step 1: Approximate the values
We start by approximating the numbers in the equation:
- \( 234.01 \approx 234 \)
- \( 12.99 \approx 13 \)
- \( 29.9\% \approx 30\% \)
- \( 499.9 \approx 500 \)
- \( 810.01 \approx 810 \)
- \( 26.98 \approx 27 \)

So, we rewrite the equation as:
\[ \frac{234 \times ?}{13} - 30\% \text{ of } 500 = \frac{810}{27} \]

### Step 2: Calculate \( 30\% \text{ of } 500 \)
To find \( 30\% \text{ of } 500 \):
\[ 30\% = \frac{30}{100} = 0.3 \]
Thus,
\[ 30\% \text{ of } 500 = 0.3 \times 500 = 150 \]

### Step 3: Calculate \( \frac{810}{27} \)
Next, we calculate \( \frac{810}{27} \):
\[ \frac{810}{27} = 30 \]

### Step 4: Substitute values back into the equation
Now substituting back into the equation:
\[ \frac{234 \times ?}{13} - 150 = 30 \]

### Step 5: Isolate the term with the question mark
Adding 150 to both sides:
\[ \frac{234 \times ?}{13} = 30 + 150 \]
\[ \frac{234 \times ?}{13} = 180 \]

### Step 6: Multiply both sides by 13
To eliminate the fraction, multiply both sides by 13:
\[ 234 \times ? = 180 \times 13 \]

Calculating \( 180 \times 13 \):
\[ 180 \times 13 = 2340 \]

### Step 7: Solve for the question mark
Now, we have:
\[ 234 \times ? = 2340 \]
Dividing both sides by 234:
\[ ? = \frac{2340}{234} \]
Calculating \( \frac{2340}{234} \):
\[ ? = 10 \]

### Conclusion
The approximate value that will come in place of (?) is **10**.

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