Question

Two candidates A and B contest an election. A gas 46% of the valid votes and if defeated by 1600 votes. find the total number of valid votes cast in the election.

Answer 1

Answer

20,000

Full Explanation

A gets 45% of the valid votes.

B gets (100-46)% = 54% of the valid votes.

% difference between the votes

= 54%-46%

= 8%

ATQ,

8% of valid votes = 1600

$\sf{\implies\dfrac{8}{100}\times valid \: votes=1600}\\ \sf{\implies valid \:votes =\dfrac{1600 \times 100}{8}}\\ \sf{\implies valid \:votes = \bold{20000}}$

Hence the number of valid votes cast in the election was 20,000.

Answer 2

Answer

20,000

Full Explanation

A gets 45% of the valid votes.

B gets (100-46)% = 54% of the valid votes.

% difference between the votes

= 54%-46%

= 8%

ATQ,

8% of valid votes = 1600

⟹100/8×valid votes=1600
⟹valid votes=1600×100/8
⟹valid votes=20000​

Hence the number of valid votes cast in the election was 20,000.