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

1.	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. Find the total number of votes casted to both of them.1. 382. 243. 564. Data insufficient
Answer» 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.

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. Find the total number of votes casted to both of them.1. 382. 243. 564. Data insufficient

Answer» 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.