In an election two candidates participated, 10% of voters did not cast

1.	In an election two candidates participated, 10% of voters did not cast their votes, out of which 80 votes declared invalid and the winner got 60% of the total valid votes and wins by 2000 votes. Find the total number of voters. 1. 12,2002. 11,2003. 13,6704. 12,9805. 11,880
Answer» Correct Answer - Option 2 : 11,200 Given: 2 candidates participated, 10% votes did not cast, 80 votes are invalid Winner gets 60% votes of the valid votes and wins by 2000 votes Calculation: Let the total number of valid votes be 100 Winner gets 60% of the votes, ⇒ 60/100 × 100 ⇒ Winner gets 60 votes Losing candidate gets, ⇒ 100 – 60 ⇒ 40 Losing candidate gets 40 votes Difference between them = 60 – 40 ⇒ Difference between them = 20 According to the question, 20 = 2000 ⇒ 1 = 100 ⇒ Total number of valid votes = 100 × 100 ⇒ Total number of valid votes = 10,000 Invalid votes = 80 ⇒ Total casted votes = 10,000 + 80 ⇒ Total casted votes = 10,080 10% of voters did not cast their votes. ⇒ 100% – 10% = 90% cast their votes ⇒ 90% = 10,080 ⇒ 1% = 10,080/90 ⇒ 100% = 100 × 10,080/90 ⇒ 100% = 100 × 112 ⇒ 100% = 11,200 ∴ Total number of voters is 11,200.

In an election two candidates participated, 10% of voters did not cast their votes, out of which 80 votes declared invalid and the winner got 60% of the total valid votes and wins by 2000 votes. Find the total number of voters. 1. 12,2002. 11,2003. 13,6704. 12,9805. 11,880

Answer» Correct Answer - Option 2 : 11,200

Given:

2 candidates participated,

10% votes did not cast, 80 votes are invalid

Winner gets 60% votes of the valid votes and wins by 2000 votes

Calculation:

Let the total number of valid votes be 100

Winner gets 60% of the votes,

⇒ 60/100 × 100

⇒ Winner gets 60 votes

Losing candidate gets,

⇒ 100 – 60

⇒ 40

Losing candidate gets 40 votes

Difference between them = 60 – 40

⇒ Difference between them = 20

According to the question,

20 = 2000

⇒ 1 = 100

⇒ Total number of valid votes = 100 × 100

⇒ Total number of valid votes = 10,000

Invalid votes = 80

⇒ Total casted votes = 10,000 + 80

⇒ Total casted votes = 10,080

10% of voters did not cast their votes.

⇒ 100% – 10% = 90% cast their votes

⇒ 90% = 10,080

⇒ 1% = 10,080/90

⇒ 100% = 100 × 10,080/90

⇒ 100% = 100 × 112

⇒ 100% = 11,200

∴ Total number of voters is 11,200.