`26%` of A =832. What is the value of `31%` of A ?

Options

A. 876
B. 854
C. 992
D. 968

Answer

To solve the problem step by step, we need to find the value of \( A \) first and then calculate \( 31\% \) of \( A \).

### Step 1: Find the value of \( A \)

We know that \( 26\% \) of \( A \) is equal to \( 832 \). This can be expressed mathematically as:

\[ 0.26 \times A = 832 \]

To find \( A \), we can rearrange the equation:

\[ A = \frac{832}{0.26} \]

### Step 2: Calculate \( A \)

Now, we will calculate \( A \):

\[ A = \frac{832 \times 100}{26} \]

Calculating \( 832 \times 100 \):

\[ 832 \times 100 = 83200 \]

Now divide \( 83200 \) by \( 26 \):

\[ A = \frac{83200}{26} = 3200 \]

### Step 3: Calculate \( 31\% \) of \( A \)

Now that we have found \( A = 3200 \), we need to calculate \( 31\% \) of \( A \):

\[ 31\% \text{ of } A = 0.31 \times 3200 \]

### Step 4: Perform the calculation

Calculating \( 0.31 \times 3200 \):

\[ 31 \times 32 = 992 \]

Thus, \( 31\% \) of \( A \) is:

\[ 31\% \text{ of } A = 992 \]

### Final Answer

Therefore, the value of \( 31\% \) of \( A \) is \( 992 \).

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