Home/ Questions/Q 344477
Next
In Process
Mohan Suresh
Asked: 2022-11-08T02:56:02+05:30 In:

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. 5000
2. 5500
3. 6000
4. 7000
5. 8000

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. 5000
2. 5500
3. 6000
4. 7000
5. 8000
Wbjee
Leave an answer

Leave an answer

Browse

1 Answer

  1. 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

    • 0
Ekbal Thaman
Asked: 2022-11-06T23:36:30+05:30 In:

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. 4500
2. 4200
3. 4000
4. 4250
5. None of these

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. 4500
2. 4200
3. 4000
4. 4250
5. None of these
Wbjee
Leave an answer

Leave an answer

Browse

1 Answer

  1. 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

     

    • 0