In an assembly election, at candidate got 55% of the total valid votes. 2% of the total votes were declared invalld. If the total number of voters is 104000, then the number of valid votes polied in favour of the candidate is:

Options

A. 565506
B. 56650
C. 56560
D. 56056

Answer

To solve the problem step by step, we need to find the number of valid votes polled in favor of the candidate who received 55% of the valid votes, given that 2% of the total votes were declared invalid.

### Step 1: Calculate the total number of invalid votes.
- **Total number of voters** = 104,000
- **Percentage of invalid votes** = 2%

To find the number of invalid votes:
\[ \text{Invalid votes} = \frac{2}{100} \times 104000 = 2080 \]

### Step 2: Calculate the total number of valid votes.
- **Total valid votes** = Total voters - Invalid votes

\[ \text{Valid votes} = 104000 - 2080 = 101920 \]

### Step 3: Calculate the number of votes polled in favor of the candidate.
- **Percentage of valid votes received by the candidate** = 55%

To find the number of valid votes polled in favor of the candidate:
\[ \text{Votes for candidate} = \frac{55}{100} \times 101920 \]
\[ \text{Votes for candidate} = 0.55 \times 101920 = 55956 \]

### Final Answer:
The number of valid votes polled in favor of the candidate is **55,956**.

---