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In an election, three candidates are participating. 25% voters didn’t cast their votes and  6.66% of the total votes are invalid. C got 2450 valid votes which is 40% more than the valid votes got by B. If A got only 40% of the total valid votes, then find the individual valid votes of A, B and C respectively.

In an election, three candidates are participating. 25% voters didn’t cast their votes and  6.66% of the total votes are invalid. C got 2450 valid votes which is 40% more than the valid votes got by B. If A got only 40% of the total valid votes, then find the individual valid votes of A, B and C respectively. Correct Answer 2800, 1750, 2450

A got 40% of the total valid votes & C got 2450.

40% + B + 2450 = 100%

According to the question,

B’s valid votes × 140/100 = C’s valid votes

⇒ B’s valid votes = 2450 × (100/140)

⇒ B’s valid votes = 1750

Now, (B + C)’s total valid votes = 60%

⇒ 60% = (1750 + 2450)

⇒ 1% = 4200/60

⇒ 40% = 2800      (A’s votes)

∴ A, B and C’s valid votes will be 2800, 1750 & 2450 respectively.

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