Three candidates P, Q and R participated in an election. P got 35% more votes than Q, and R got 15% more votes than Q. P overtook R by 2,412 votes. If 90% voters voted and no invalid or illegal votes were cast, then what was the number of voters in the voting list?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 1)

Answer 1

Given:

P got 35% more votes than Q

R got 15% more votes than Q.

P overtook R by 2,412 votes.

90% voters voted and no invalid or illegal votes were cast

Concept used:

Let the total votes of Q be 100x

P = × 100x + 100x = 135x

R = × 100x + 100x = 115x

Calculation:

135x - 115x = 2412

20x = 2412

x = 120.6

So, the vote obtained by Q = 100x = 100 × 120.6 = 12060

Vote obtained by P = 135x = 135 × 120.6 = 16281

Vote obtained by R = 115x = 115 × 120.6 = 13869

Total votes obtained by all of them = 12060 + 16281 + 13869 = 42210

Now, according to question, only 90% of the voters casted votes, therefore:

⇒ × y = 42210 ⇒ y = ⇒ y = 46900 (y = total votes)

Therefore, the number of voters in the voting list are 46900.