Question

In an assembly election, the males polled 15,000 votes less than the females. If 45% of population who polled vote is male, how many votes were polled by females?
1. 67,500
2. 82,500
3. 1,50,000
4. 50,000

Answer 1

Correct Answer - Option 2 : 82,500

Given:

In an assembly election, the males polled 15,000 votes less than the females.

45% of the population is male.

Concept used:

Total population = Male population + female population

Calculation:

Let the total population be x.

45% of the population is male.

⇒ Male population = 0.45x

Total population = Male population + female population

⇒ x = 0.45x + female population

⇒ Female population = x – 0.45x = 0.55x

The males polled 15,000 votes less than the females.

⇒ 0.55x – 0.45x = 15,000

⇒ 0.10x = 15,000

⇒ x = 15,000/0.10

⇒ x = 1,50,000

Number of females who polled votes = 0.55x

⇒ 0.55 × 1,50,000

⇒ 82,500

∴ Females polled votes at the assembly election is 82,500.