Question

In an election x and y participated. 40% of the voters promised to vote for x and rest promised to vote for y. On the voting day 114 went back on their promise to vote for x and 15% of the voters went back on their promise to vote for y. Find the number of voters, if y won by 7700 votes?

Options

• 25000

• 20000

• 15000

• 35000

Answer 1

35000

Explanation:

Promised votes for x = 40% = `2/5`

⇒ Promised votes for y = 60% = `3/5`

Let total voters be 100a

⇒ Promised votes for x = 40a

⇒ Promised votes for y = 60a

On the voting day `1/4` went back on their promise to vote for x and 15% of the voters went back on their promise to vote for y.

⇒ x got = `40a xx 1/4` = 10a less votes, which polled in favour of y

⇒ y got = `60a xx 15/100` = 9a less votes, which polled in favour of x

⇒ x got = 40a – 10a + 9a = 39a votes

⇒ y got = 60a – 9a + 10a = 61a votes

y won by 7700 votes

⇒ y's votes – x's votes = 7700

⇒ 22a = 7700

∴ Total voters = `7700/22 xx 100` = 35000