What should come in place of the question mark (?) in the following questions ?
`(1)/(8)` of 8432 + 25% of ? = 4429

Options

A. 15300
B. 14400
C. 16500
D. 13500

Answer

To solve the equation `(1/8) of 8432 + 25% of ? = 4429`, we will follow these steps:

### Step 1: Calculate `(1/8) of 8432`
First, we need to find `(1/8) of 8432`.

\[ \frac{1}{8} \times 8432 = \frac{8432}{8} = 1054 \]

### Step 2: Substitute the value into the equation
Now, we substitute this value back into the equation:

\[ 1054 + 25\% \text{ of } ? = 4429 \]

### Step 3: Isolate `25% of ?`
Next, we need to isolate `25% of ?`. We can do this by subtracting 1054 from both sides of the equation:

\[ 25\% \text{ of } ? = 4429 - 1054 \]

Calculating the right side:

\[ 4429 - 1054 = 3375 \]

So, we have:

\[ 25\% \text{ of } ? = 3375 \]

### Step 4: Convert `25%` to a fraction
We know that `25%` can be expressed as a fraction:

\[ 25\% = \frac{25}{100} = \frac{1}{4} \]

### Step 5: Set up the equation
Now we can set up the equation:

\[ \frac{1}{4} \times ? = 3375 \]

### Step 6: Solve for `?`
To find `?`, we multiply both sides by 4:

\[ ? = 3375 \times 4 \]

Calculating this gives:

\[ ? = 13500 \]

### Final Answer
Thus, the value that should come in place of the question mark (?) is **13500**.

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