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Q:

In an election between two candidates, the winning candidate got 70% of the valid votes and won by a majority of 9000 votes. If out of total votes polled 90% votes are valid, then what is the total number of votes polled?

A) 30000	B) 25000
C) 22500	D) 27000

Answer & Explanation Answer: B) 25000

Explanation:

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Q:

In an election between two candidates, the winning candidate has got 70% of the votes polled and has won by 15400 votes. What is the number of votes polled for loosing candidate?

A) 38500	B) 11550
C) 26950	D) 13550

Answer & Explanation Answer: B) 11550

Explanation:

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Q:

In an election between two candidates K and L, the number of valid votes received by K exceeds those received by L by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did L get ?

A) 3241	B) 2457
C) 2642	D) 2834

Answer & Explanation Answer: D) 2834

Explanation:

Let the total number of votes polled in the election be 100k.
Number of valid votes = 100k - 20% (100k) = 80k
Let the number of votes polled in favour of K and L be a and b respectively.
a - b = 15% (100k) => a = b + 15k
=> a + b = b + 15k + b
Now, 2b + 15k = 80k and hence b = 32.5k
It is given that 100k = 8720
32.5k = 32.5k/100k x 8720 = 2834

The number of valid votes polled in favour of L is 2834.

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Q:

A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast ?

A) 7500	B) 6200
C) 5600	D) 4700

Answer & Explanation Answer: A) 7500

Explanation:

Let the candidates be A & B
35%-----------A
65%-----------B

Difference of votes (65-35)% = 30%

=> 30% ------- 2250
Then for 100% -------- ? => 7500

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Q:

Two candidates fought in a municipality election. One of them got 54% of the total votes pooled and won by 1080 votes. What was the total number of votes polled ?

A) 12000	B) 13500
C) 15400	D) 11000

Answer & Explanation Answer: B) 13500

Explanation:

Given in municipality election 54% votes have won by 1080

Let the total number of votes be x.

$\frac{54 x}{100} - \frac{46 x}{100} = 1080$

8x = 108000

x = 13,500

Therefore, total number of votes = 13,500.

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Q:

In an election, there were two candidates only. The candidate who got 62% of the total votes polled and was elected by a majority of 192 votes. The total number of votes polled was?

Answer

Suppose total votes polled is x

$\inline \Rightarrow$ $\inline \frac{62x}{100}=\frac{38x}{100}+192$

$\inline \Rightarrow \frac{62x}{100}-\frac{38x}{100}=192$

$\inline \Rightarrow \frac{24x}{100}=192\Rightarrow x=800$

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