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Answered by
0
Lets get deep.
There are always 100% votes
Here we have 10%invalid votes , so only 90% votes are counted.
In this A gets 35% votes which are valid.
So B gets 55% of the valid votes.
The difference of these two votes are 20%.
So A lost by 20% margin which is 9504 votes.
So 20%: 9504:: 90%: x
Hence x = 42768 votes.
Hence B gets 55%
WIZ in the same manner as above as 26136 votes.
There are always 100% votes
Here we have 10%invalid votes , so only 90% votes are counted.
In this A gets 35% votes which are valid.
So B gets 55% of the valid votes.
The difference of these two votes are 20%.
So A lost by 20% margin which is 9504 votes.
So 20%: 9504:: 90%: x
Hence x = 42768 votes.
Hence B gets 55%
WIZ in the same manner as above as 26136 votes.
Answered by
9
Let , the total number of votes is 'y'.
It's given that 10% votes were invalid, so 90% votes were valid.
Valid votes = 90% of y
= ( 90/100 ) × y
= ( 9/10 ) y = ( 9y / 10 )
Since, A got 35% of valid votes then B must have got 65% of valid votes.By getting 35% valid votes, A lost by 9,504 votes . It means the difference between the votes of B and A is 9,504 .
⇒ [ 65 % of ( 9y / 10 ] - [ 35% of ( 9y / 10 ) ] = 9,504
⇒ [ ( 65/100 ) ( 9y/10 ) ] - [ ( 35/100 ) ( 9y/10 ) ] = 9,504
⇒ [ ( 65 × 9y ) / 1,000 ] - [ ( 35 × 9y ) / 1,000 ] = 9,504
⇒ ( 65 × 9y - 35 × 9y ) / 1,000 = 9,504
⇒ ( 585y - 315y ) / 1,000 = 9,504
⇒ ( 270y )/ 1,000 = 9,504
⇒ ( 27y / 100 ) = 9,504
⇒ 27y = 9,504 × 100
⇒ 27y = 950,400
⇒ y = ( 950,400 ) ÷ 27
•°• y = 35,200
Now,
Valid votes = 9y/10
= ( 9 × 35,200 ) / 10
= 9 × 3,520
= 31,680
Votes of B = 65% of valid votes
= 65% of 31,680
= ( 65/100 ) × ( 31,680 )
= ( 65 × 3,168 ) / 10
= ( 205,920 ) / 10
= 20,592
It's given that 10% votes were invalid, so 90% votes were valid.
Valid votes = 90% of y
= ( 90/100 ) × y
= ( 9/10 ) y = ( 9y / 10 )
Since, A got 35% of valid votes then B must have got 65% of valid votes.By getting 35% valid votes, A lost by 9,504 votes . It means the difference between the votes of B and A is 9,504 .
⇒ [ 65 % of ( 9y / 10 ] - [ 35% of ( 9y / 10 ) ] = 9,504
⇒ [ ( 65/100 ) ( 9y/10 ) ] - [ ( 35/100 ) ( 9y/10 ) ] = 9,504
⇒ [ ( 65 × 9y ) / 1,000 ] - [ ( 35 × 9y ) / 1,000 ] = 9,504
⇒ ( 65 × 9y - 35 × 9y ) / 1,000 = 9,504
⇒ ( 585y - 315y ) / 1,000 = 9,504
⇒ ( 270y )/ 1,000 = 9,504
⇒ ( 27y / 100 ) = 9,504
⇒ 27y = 9,504 × 100
⇒ 27y = 950,400
⇒ y = ( 950,400 ) ÷ 27
•°• y = 35,200
Now,
Valid votes = 9y/10
= ( 9 × 35,200 ) / 10
= 9 × 3,520
= 31,680
Votes of B = 65% of valid votes
= 65% of 31,680
= ( 65/100 ) × ( 31,680 )
= ( 65 × 3,168 ) / 10
= ( 205,920 ) / 10
= 20,592
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