In a town there are 5500 people who can vote in an election. If the number of male voters increases by 11% and female voters increases by 20%, then the number of voters becomes 6330. Find the initial number of male and female voters, respectively, in the town.
Show answer & explanation
Correct answer: B
Explanation
The Correct answer is option 2 i.e. 3000, 2500.
Given that
In a town, there are 5,500 people who can vote in an election
Let's Initially, the number of males is 100x
the number of females in town is 100y
Then 100x + 100y = 5500
x + y = 55 ....(1
If the number of male voters increases by 11%,
and female voters increase by 20%.
now, the number of voters becomes 6330
then 111x + 120y = 6330 .....(2
After solving equations 1 and 2
⇒ 9x = 6600 - 6330 = 270
⇒ x = 30
⇒ put this value in equation 1
⇒ 30 + y = 55
⇒ y = 25
Hence, the initial number of male = 3000 and female voters = 2500