21% of a number is 546. What will be 89% of that number?

Options

A. 900
B. 2116
C. 1200
D. 2314

Answer

To solve the problem step-by-step, let's break it down:

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

### Step 2: Set up the equation
According to the problem, 21% of the number \( x \) is equal to 546. This can be expressed mathematically as:
\[ 0.21x = 546 \]

### 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 0.21:
\[ x = \frac{546}{0.21} \]

### Step 4: Calculate \( x \)
Now, let's perform the division:
\[ x = \frac{546 \times 100}{21} = \frac{54600}{21} \]
Calculating this gives:
\[ x = 2600 \]

### Step 5: Find 89% of \( x \)
Now that we have \( x = 2600 \), we need to find 89% of this number:
\[ 0.89x = 0.89 \times 2600 \]

### Step 6: Calculate 89% of \( x \)
Now, let's perform the multiplication:
\[ 0.89 \times 2600 = 2314 \]

### Conclusion
Thus, 89% of the number is:
\[ \boxed{2314} \]