Question

There are two candidates X and Y in an election. If X receives 5000 votes of Y, X would have 40% of the total votes casted to them. If initially Y received 80% of the total votes. Find the number of votes X received.
1. 5000
2. 5500
3. 4600
4. 5600

Answer 1

Correct Answer - Option 1 : 5000

Given: There are two candidates X and Y in an election. If X receives 5000 votes of Y, X would have 40% of the total votes casted to them. Y initially received 80% of the total votes.

Formula used: Percentage increase/ decrease = [(new - actual)/actual] × 100%

Calculation: Let the total votes be 100x, Initially Y received 80% of the total votes that means X received 20% votes.

Y initial votes = 80x

When X receives 5000 votes of Y, X would have 40% of total votes.

Now, new votes of X = 40x and votes of Y = 60x

Difference of votes 60x – 40x = 20x = 5000 (given)

⇒ x = 250

Total votes = 250 × 100 = 25000

∴ Votes received by X = (20/100) × 25000 = 5000