Percentage
- 8% of the voters in an election did not cast their votes. In this election, there were only two candidates. The winner by obtaining 48% of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was :
-
View Hint View Answer Discuss in Forum
Let the total number of votes be 100.
Number of uncast votes = 8
∴ Number of votes polled = 92
Number of votes obtained by the winner = 48
∴ Number of votes obtained by the loser = 92 – 48 = 44
If the difference of win be 4 votes, total voters = 100
∴ When the difference be 1100 votes, total voters= 100 × 1100 = 27500 4
Aliter : Using Rule 21,
Here, x = 1100, A = 48
∴ Total number of votes= 50 × x 50 - A = 50 × 1100 50 - 48 = 50 × 1100 = 25 × 1100 = 27500 2 Correct Option: D
Let the total number of votes be 100.
Number of uncast votes = 8
∴ Number of votes polled = 92
Number of votes obtained by the winner = 48
∴ Number of votes obtained by the loser = 92 – 48 = 44
If the difference of win be 4 votes, total voters = 100
∴ When the difference be 1100 votes, total voters= 100 × 1100 = 27500 4
Aliter : Using Rule 21,
Here, x = 1100, A = 48
∴ Total number of votes= 50 × x 50 - A = 50 × 1100 50 - 48 = 50 × 1100 = 25 × 1100 = 27500 2
- The value of a machine depreciates every year at the rate of 10% on its value at the beginning of that year. If the current value of the machine is ₹ 729, its worth 3 years ago was:
-
View Hint View Answer Discuss in Forum
Using Rule 18,
If the price of machine 3 years ago be ₹ x. then729 = x 
1 - 10 
3 100 ⇒ 729 = x 9 3 ⇒ x = ₹ 1000 10 Correct Option: A
Using Rule 18,
If the price of machine 3 years ago be ₹ x. then729 = x 1 - 10 3 100 ⇒ 729 = x 9 3 ⇒ x = ₹ 1000 10
- In an election between two candidates, the candidate getting 60% of the votes polled, is elected by a majority of 14,000 votes. The number of votes polled by the winning candidate is
-
View Hint View Answer Discuss in Forum
Difference of percentage of votes = 60% – 40% = 20%
∴ 20% of total votes = 14000
∴ 60% of total votesor x = 14000 × 60 = 42000 20 Correct Option: C
Difference of percentage of votes = 60% – 40% = 20%
∴ 20% of total votes = 14000
∴ 60% of total votesor x = 14000 × 60 = 42000 20
- In an office 40% of the staff is female, 40% of the females and 60% of the males voted for me. The percentage of votes I got was
-
View Hint View Answer Discuss in Forum
Let total employees = 100
∴ Required percentage= 40 × 40 + 60 × 60 = 16 + 36 = 52% 100 100 Correct Option: D
Let total employees = 100
∴ Required percentage= 40 × 40 + 60 × 60 = 16 + 36 = 52% 100 100
- In an election there were only two candidates. One of the candidates secured 40% of votes and is defeated by the other candidate by 298 votes. The total number of votes polled is
-
View Hint View Answer Discuss in Forum
Let votes polled = x
∴ x × 60 - 40 = 298 100 ⇒ x × 1 = 298 5
⇒ x = 298 × 5 = 1490
Aliter : Using Rule 26,
Total number of votes= 50 × 298 = 1490 50 - 40 Correct Option: C
Let votes polled = x
∴ x × 60 - 40 = 298 100 ⇒ x × 1 = 298 5
⇒ x = 298 × 5 = 1490
Aliter : Using Rule 26,
Total number of votes= 50 × 298 = 1490 50 - 40
