1.

In a village, two contestants ( A & B ) are contesting in an election. 70% of the registered voters cast their votes in the election and A wins the election by 400 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. 45002. 42003. 40004. 42505. None of these

Answer» Correct Answer - Option 3 : 4000

Calculation:

⇒ Let be  votes received by A = x and B = y

⇒ x - y = 400            (1)

⇒ also \(\frac{{87.5}}{{100}}x = y + \left( {\frac{{12.5}}{{100}}} \right)x\)         (2)

The votes lost by A would go into B's account solving (2) , we get 

⇒\(y = \frac{3}{4}x\)       (3)                                                                                                                                                                                                                                             

⇒ \(x - \frac{3}{4}x = 400\)

⇒ x = 1600 and y = 1200

Now, we know that A & B collectively won 70% of total votes.

If the total number of registered voters in the village be Z, 

Then, 70% Z = 1600 + 1200 

⇒ 70% Z = 2800

⇒ Z = 4000

∴ Z = 4000

 


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