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CBSE Class 10 Answered

Q. In a village, 60% registered voters cast their votes in the election. Only two candidates (A and B) were contesting the election. A won the election by 600 votes. Had B received 40% more votes, the result would have been a tie. How many registered voters are there in the village.
Asked by harshsingh302011 | 29 Jul, 2019, 07:18: PM
answered-by-expert Expert Answer
Let B got x number of votes.
→ Number of votes received by A = x + 600
 
If B received 40% more votes the result would have been a tie. 
B = 1.4x
 
→ 1.4x = x + 600 - 0.4x
→ 0.8x = 600
→      x = 750
 
Number of votes received by A = x + 600 = 750 + 600= 1350
 
According to the condition in the question, we get
60y/100 = 1350 + 750
→ y = 3500
So, there are 3500 registered voters in the village.
Answered by Yasmeen Khan | 30 Jul, 2019, 10:56: AM

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