Question
In an election between two candidates ‘P’ and
‘Q’, ‘P’ secured 65% of the total votes and defeated ‘Q’ by 3,000 votes. Find the number of votes secured by ‘Q’.Solution
Let the total number of votes be ‘100n’ Number of votes received by ‘P’ = 0.65 × 100n = 65n Number of votes received by ‘Q’ = 100n − 65n = 35n So,
65n − 35n = 3,000 Or,
30n = 3,000 Or,
n = 100 Required number of votes = 35 × 100 = 3,500
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