Question : In an election between 2 parties A and B, A gets 37% of total votes cast and thus lost by 338 votes. The total number of cast votes is (assume none of the votes was declared invalid):
Option 1: 1300
Option 2: 1500
Option 3: 1200
Option 4: 1800
Correct Answer: 1300
Solution :
Let the total no. of votes cast be $x$
A gets 37% of the total votes then
B gets = 100 – 37% = 63% votes
Difference of votes of A and B = 63% – 37% = 26%
According to the question,
26% of $x$ = 338
$⇒ \frac{26}{100} \times x = 338$
$⇒ 26x = 33800$
$⇒ x = \frac{33800}{26}$ = 1300
∴ The total number of cast votes is 1300.
Hence, the correct answer is 1300.
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