Question

Ram and Ravana stood in an election. If the number of votes of Ram got gets reduced by 50%, Ravana would have won the election by 610 votes. If the number of votes of Ravana is tripled, Ravana would have won the election by 5060 votes. Find the number of votes casted to Ram.
1. 7250
2. 6460
3. 6800
4. 7600

Answer 1

Correct Answer - Option 2 : 6460

Given:

Ram and Ravana stood in an election.

If the number of votes of Ram got gets reduced by 50%, Ravana would have won the election by 610 votes.

If the number of votes of Ravana is tripled, Ravana would have won the election by 5060 votes.

Formula:

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

Calculation: Let the votes Ram and Ravana got be x and y respectively.

According to question

y - x/2 = 610

⇒ 2y – x = 1220     ----(1)

And

3y – x = 5060      ----(2)

Subtract equation (1) from (2)

y = 5060 – 1220 = 3840

and on solving x = 6460

Hence, Ram got 6460 votes.