Correct Answer – Option 4 : Data insufficient

Given:

In an election only 80% of the total number of people casted votes to Tarun and

Vikash. If the remaining 20% of the population would have all casted their votes to

tarun, there would have been a tie between tarun and Vikash. If the remaining 20%

of the population would have all casted their votes to Vikash, Tarun just received

30% of the total votes.

Formula used:

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

Calculation:

Let the total population be t.

Let tarun gets x votes and vikash y number of votes.

According to question

80% people casted the votes

x + y = 0.8t      —-(1)

Case 1 : If remaining 20% casted votes to tarun then, there is a tie between tarun and vikash.

0.2t + x = y

⇒ y – x = 0.2t      —-(2)

Case 2: if remaining 20% casted votes to vikash then,

0.2t + y = 0.7t

⇒ y = 0.5t      —-(3)

On adding 1 and 2, we get

2y = t

⇒ y = 0.5t which is same as (3).

Hence, data is insufficient.