Question : In an election between P and Q, P gets 40% of the total votes and thus loses by 10 votes. The total number of votes is:
Option 1: 80
Option 2: 50
Option 3: 90
Option 4: 70
Correct Answer: 50
Solution : Let $x$ be the total number of votes. Number of votes P got = 40% of $x$ Number of votes Q got = 60% of $x$ Margin = 10 ⇒ $0.6x - 0.4x = 10$ ⇒ $0.2 x = 10$ ⇒ $x = \frac{10}{0.2}$ ⇒ $x= 50$ Hence, the correct answer is 50.
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