Question

3. In an election, two persons contested and the winner secured 58% of the votes polled. If the difference between their votes is 8480, find the votes secured by the winner. Give step by step explanations​

Answer 1

Answer:

Step-by-step explanation:

ANSWER

Let the Votes got by the Winner be x

and the Votes got by Loser be y

Hence, Total Votes will be x+y

Now, it is given that x−y=8480...........(1)

and x=  

100

58

​  

(x+y)⇒  

100

58

​  

y=  

100

42x

​  

⇒58y=42x⇒29y=21x⇒x=  

21

29y

​  

.........(2)

From (1) and (2)

21

29y

​  

−y=8480⇒  

21

8y

​  

=8480⇒y=1060∗21=22,260

Now, x=  

21

29y

​  

=  

21

29∗1060∗21

​  

=29∗1060=30,740

therefore, the winner secured 30,740 votes