Question
During a club election between members 'X' and 'Y', 10% of
all votes were invalid. If 'X' got 52% of the valid votes and 'Y' secured 21,168 valid votes, determine the total votes cast.Solution
ATQ,
Let the total number of votes be '100n'
Number of valid votes = 0.90 Γ 100n = 90n
Number of valid votes received by 'Y' = 0.48 Γ 90n = 43.2n
So, 43.2n = 21,168
Or, n = 490
Therefore, total number of votes = 490 Γ 100 = 49,000
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