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Valid Votes of Loser in Local Election

CMAT 2022 · Quantitative Techniques & Data Interpretation · Easy · Percentages

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In a local election between two candidates, one candidate got 55% of the total valid votes and was declared as winner. 15% of the votes were invalid. If the total number of votes polled were 15200, what were the valid votes of the loser:

  1. A.

    6840

  2. B.

    5800

  3. C.

    5814

  4. D.

    6216

Answer

C

Explanation

Total votes polled =15200= 15200. Invalid votes =15%  ⟹  = 15\% \implies Valid votes =85%×15200=12920= 85\% \times 15200 = 12920. Winner got 55%55\% of valid votes   ⟹  \implies Loser got 45%45\% of valid votes. Loser's votes =45%×12920=5814= 45\% \times 12920 = 5814.

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