42% of a number is 23646. What is 29% of this number?

Options

A. 16217
B. 16327
C. 16437
D. 17325

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the variable
Let the unknown number be represented as \( x \).

### Step 2: Set up the equation
According to the problem, 42% of the number \( x \) is equal to 23646. This can be expressed mathematically as:
\[ 0.42x = 23646 \]

### Step 3: Solve for \( x \)
To find \( x \), we need to isolate it. We can do this by dividing both sides of the equation by 0.42:
\[ x = \frac{23646}{0.42} \]

### Step 4: Calculate \( x \)
Now, we perform the division:
\[ x = \frac{23646}{0.42} = 56300 \]

### Step 5: Find 29% of \( x \)
Now that we have the value of \( x \), we need to find 29% of this number:
\[ 0.29x = 0.29 \times 56300 \]

### Step 6: Calculate 29% of \( x \)
Perform the multiplication:
\[ 0.29 \times 56300 = 16327 \]

### Final Answer
Thus, 29% of the number is:
\[ \boxed{16327} \]

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