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InterviewSolution
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In a village, two contestants (A & B) are contesting in an election. 80% of the registered voters cast their votes in the election and A wins the election by 800 votes. If A had received 12.5% less votes, A's votes would have been equal to B's votes. How many registered voters are there in the village?1. 50002. 55003. 60004. 70005. 8000 |
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Answer» Correct Answer - Option 4 : 7000 Given: 80% of the registered voters cast their votes in election, A wins 800 votes B
Assumption : Let the votes received by A be x and B be y.
Calculation : According to question, ⇒ x - y = 800 -------- (1) Also ⇒ (87.5/100)x = Y+ (12.5/100)x -------- (2) ⇒ y = (3/4)x -------- (3) Eq(3) to solve (1) we get ⇒ x - (3/4)x = 800 ⇒ x = 3200 and y = 2400 Now, We know that A & B collectively won 80% of total votes of total votes. If the total number of registered voters in the village be z Then , (80/100)z = 3200 + 2400 ⇒ z = (5600 × 5)/4 ⇒ z = 7000 ∴ Total number of registered voters in village are 7000 |
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