Two candidates A and B contested an election. The total votes polled were 9650. If A got `54%` of the votes, find the number of votes received by each.

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Understand the total votes and percentage
We know that the total votes polled were 9650 and candidate A received 54% of these votes.

### Step 2: Calculate the number of votes received by A
To find the number of votes received by A, we need to calculate 54% of the total votes.

\[ \text{Votes received by A} = \frac{54}{100} \times 9650 \]

### Step 3: Perform the calculation
Now, we will calculate the above expression:

\[ \text{Votes received by A} = \frac{54 \times 9650}{100} \]

Calculating \(54 \times 9650\):

\[ 54 \times 9650 = 52110 \]

Now, divide by 100:

\[ \frac{52110}{100} = 5211 \]

So, the number of votes received by A is **5211**.

### Step 4: Calculate the number of votes received by B
To find the number of votes received by B, we subtract the votes received by A from the total votes:

\[ \text{Votes received by B} = \text{Total votes} - \text{Votes received by A} \]

Substituting the values:

\[ \text{Votes received by B} = 9650 - 5211 \]

### Step 5: Perform the subtraction
Now, we will calculate:

\[ 9650 - 5211 = 4439 \]

So, the number of votes received by B is **4439**.

### Final Answer:
- Votes received by A: **5211**
- Votes received by B: **4439**

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