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In an election there are two candidates A and B. Total 22,000 voters were supposed to cast their votes on the election day but later it was known that 15% voters have been absent. B won the election but it was revealed that 33.33% of his votes were invalid due to which after removing the count of invalid vote, votes of B and A are equal. Calculate the difference between the votes of A and B initially.

In an election there are two candidates A and B. Total 22,000 voters were supposed to cast their votes on the election day but later it was known that 15% voters have been absent. B won the election but it was revealed that 33.33% of his votes were invalid due to which after removing the count of invalid vote, votes of B and A are equal. Calculate the difference between the votes of A and B initially. Correct Answer 3740

Given:

Total number of voters = 22,000

Calculation:

 Percentage of voters who didn’t cast their votes = 15%

Percentage of voters who cast their votes = 100 – 15 = 85%

Voters who casted their votes = 22,000 × (85/100) = 18,700

∴ Votes of A and B together is 18,700

⇒ B + A = 18,700      ----(i)

Now, 33.33% votes of B is invalid

∴ Valid votes of B = 100 – 33.33 = 66.66 % = 2/3

⇒ (2/3) B = A

⇒ 2B – 3A = 0      ----(iI)

Solving (i) and (ii)

A = 7480 and B = 11,220

So, Difference of votes = 11,220 – 7480 = 3740

∴ The difference between the votes of A and B initially is 3740.

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