Question

In an election between two candidates, one got 55% of the total valid votes. also 20% of the total votes were invalid. if the total number of votes was 7500, what was the number of valid votes that the other candidate got?

Answer 1

Let the candidates be A & B

Total number of invalid votes are =
total number of votes x percent of invalid votes
= ( 7500 x 20 ) / 100
= 1500

Total number of valid votes are =
total number of votes-Total number of invalid votes
= 7500 - 1500
= 6000

Total number of votes A got are =
total number of valid votes x percent of valid votes A got
= ( 6000 x 55 ) / 100
= 3300

Total number of votes B got are=
total number of valid votes-Total number of votes A got
= 6000 - 3300
= 2700

The number of valid votes that the other candidate got are = 2700

Answer 2

Answer:

Total number of votes = 7500

Given that 20% of Percentage votes were invalid

=> Valid votes = 80%

Total valid votes = 7500*(80/100)

1st candidate got 55% of the total valid votes.

Hence the 2nd candidate should have got 45% of the total valid votes

=> Valid votes that 2nd candidate got = total valid votes x (45/100)

7500*(80/100)*(45/100) = 2700

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