Question

In a student council election, there were three contestants. All the voters participated in the voting and 10% of votes were declared invalid. The contestants got the votes in the ratio 8: 7: 5. If the second candidate in the list got 4725 votes, the total number of valid votes is:

• A. 10,000
• B. 11,500
• C. 13,500
• D. 9,000

Answer 1

Answer:

C. 13,500

The valid votes are shared among the three contestants in the ratio
8 : 7 : 5

The second candidate corresponds to 7 parts and got 4725 votes.

Step 1: Find the value of 1 part

$1 \text{ part} = \frac{4725}{7} = 675$

Step 2: Find total parts

$8 + 7 + 5 = 20 \text{ parts}$

Step 3: Find total valid votes

$20 \times 675 = 13500$

The total number of valid votes is 13,500.