in a village assembly,1000 people cast their vote out of which 10% were invalid.After discussion 1000 people again casted the votes out wof which 20% were invalid.opposition increased by 20%,now this is cancelled by majority which is 300% more than previous.find out how many people cast their votes in opposition?
Answers
Given : In a village assembly, 1000 people cast their vote out of which 10% were invalid. After discussion 1000 people again casted the votes out of which 20% were invalid.
opposition increased by 20%,
now this is cancelled by majority which is 300% more than previous.
To find : how many people cast their votes in opposition
Solution:
Total Votes = 1000
Valid votes = 1000 - (10/100)1000 = 900
opposition = x
in favour = 900 - x
Passed by majority = 900 - x - x = 900 - 2x
Valid votes = 1000 - (20/100)1000 = 800
opposition = x + (20/100)x = 1.2x
in favour = 800 -1.2 x
cancelled by majority = 1.2x - (800 -1.2 x ) = 2.4x - 800
300% more
900 - 2x + (300/100) (900 - 2x) = 2.4x - 800
=> (900 - 2x) 4 = 2.4x - 800
=> 900 - 2x = 0.6x - 200
=> 2.6x = 1100
=> x ≈ 423
It should have been integral value , may be issue with data
if opposition increased by 50%
https://brainly.in/question/11951439 similar Question :
Valid votes = 1000 - (20/100)1000 = 800
opposition = x + (50/100)x = 1.5x
in favour = 800 -1.6 x
cancelled by majority = 1.5x - (800 -1.5 x ) = 3x - 800
(900 - 2x) 4 = 3x - 800
=> 2.75x = 1100
=> x = 400
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