In a town with population of 4500, the ratio of males to females is 3 : 2 and the ratio of females to children is 4. X. In election of Nagar-
Palika, two candidates are there, children aren't allowed to vote and 10% of the eligible population didn't cast their vote. If the winner
candidate won by 400 votes and the runner up candidate got 1150 votes, then find the valueof 'x'. [Note: Total population of village = Male +
Female + Children]
Answers
Given : In a town with population of 4500, the ratio of males to females is 3 : 2 and the ratio of females to children is 4:X
two candidates are there, children aren't allowed to vote and 10% of the eligible population didn't cast their vote
the winner candidate won by 400 votes and the runner up candidate got 1150 votes
To Find : the value of 'x'
Solution:
Total population = 4500
Ratio of females to children is 4 : X
Children = X
Then Female = 4
ratio of males to females is 3 : 2
=> Male = (3/2) * 4 = 6
Male : Female : Children
6 : 4 : X
Male = (6/(10 + x)) * 4500
Female = (4/(10 + x)) * 4500
Eligible population to vote = (10/(10 + x) * 4500
10% of the eligible population didn't cast their vote.
Vote = (90/100) (10/(10 + x) * 4500 ) = 9 * 4500 / (10 + x)
winner candidate won by 400 votes and the runner up candidate got 1150 votes,
winner votes = 1150 + 400 = 1550
Total votes = 1550 + 1150 = 2700
9 * 4500 / (10 + x) = 2700
=> 10 + x = 9 * 4500 / 2700
=> 10 + x = 15
=> x = 5
Value of x is 5
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Answer:
Step-by-step explanation:
Given : In a town with population of 4500, the ratio of males to females is 3 : 2 and the ratio of females to children is 4:X
two candidates are there, children aren't allowed to vote and 10% of the eligible population didn't cast their vote
the winner candidate won by 400 votes and the runner up candidate got 1150 votes
To Find : the value of 'x'
Solution:
Total population = 4500
Ratio of females to children is 4 : X
Children = X
Then Female = 4
ratio of males to females is 3 : 2
=> Male = (3/2) * 4 = 6
Male : Female : Children
6 : 4 : X
Male = (6/(10 + x)) * 4500
Female = (4/(10 + x)) * 4500
Eligible population to vote = (10/(10 + x) * 4500
10% of the eligible population didn't cast their vote.
Vote = (90/100) (10/(10 + x) * 4500 ) = 9 * 4500 / (10 + x)
winner candidate won by 400 votes and the runner up candidate got 1150 votes,
winner votes = 1150 + 400 = 1550
Total votes = 1550 + 1150 = 2700
90 % = 2700 as 10 % of eligibale voters didnt casted their vote
then 100 % = 3000
when 3000 = 10 units ( 6: 4 )
1 unit = 300
4500 - 3000 = 1500
1500 /300
= 5