Question

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

Answer 1

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

×

45

100

=

7500

×

80

100

×

45

100

=

75

×

4

5

×

45

=

75

×

4

×

9

=

300

×

9

=

2700

Hope u understood. Plzz mark this as brai lies and follow me. Plzzz

Answer 2

Answer:

Answer:

Total Votes = 7500

Valid Votes = (100 - 20)% = 80%

1st Candidate Got = 55%

• Number of valid votes 2nd candidate got :

$:\implies\sf Votes_{2nd\:Candidate}=Total \times Valid\% \times Got\%\\\\\\:\implies\sf Votes_{2nd\:Candidate} = 7500 \times 80\% \times (100 - 55)\%\\\\\\:\implies\sf Votes_{2nd\:Candidate} = 7500 \times \dfrac{80}{100} \times\dfrac{45}{100}\\\\\\:\implies\sf Votes_{2nd\:Candidate} = 75\times \dfrac{4}{5} \times 45\\\\\\:\implies\sf Votes_{2nd\:Candidate} = 300 \times 9\\\\\\:\implies\underline{\boxed{\sf Votes_{2nd\:Candidate} = 2700}}$

⠀

$\therefore\:\underline{\textsf{Other candidate got \textbf{2700} valid votes}}.$