Discussion

Question:

The number of votes not cast for the PJB increased by 30% in the 2023 MP Assembly elections over those not cast for it in the 2018 Assembly elections, and the PJB lost by a majority thrice as large as that by which it had won the 2018 Assembly Polls. If a total of 4,30,000 people voted each time, how many voted for the PJB in the 2018 Assembly Elections?

Explanation:

Let the number of votes not cast in the 2018 Assembly Polls be denoted by x,
∴ The number of votes not cast in the 2023 Assembly Election = 1.3x.

The total number of voters in both cases is given to be 430000.

Thus, the number of votes cast for the party in 2018 Assembly Polls = 4,30,000 – x.
Also, the number of votes cast for the party in the 2023 Assembly Election = 4,30,000 –1.3v.

Majority of votes in 2018 Assembly Polls = (4,30,000 – x) – x = 4,30,000 – 2x.
Majority of votes in 2023 Assembly Election = 1.3x – (4,30,000 – 1.3x) = 2.6x - 4,30,000

⇒ 2.6x - 4,30,000 = 3 × (4,30,000 - 2x)
⇒ 2.6x - 4,30,000 = 12,90,000 - 6x
⇒ 8.6x = 17,20,000
⇒ x = 17,20,000/8.6 = 2,00,000

Thus, the number of votes cast for the party in 2018 Assembly Polls = 4,30,000 – x = 4,30,000 – 2,00,000 = 2,30,000.

Hence, 230000.

» Your doubt will be displayed only after approval.

Discussion

Doubts

Feedback