In state elections, 60% of the voters cast their votes. There are 80,500 voters in the area. In a contest between Mandy and Shan, Mandy won the elections by obtaining 1300 votes more than Shan By what percentage of the votes cast did Mandy beat Shan in the elections?
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Answer:
No of voters = 80,500
No of voters who cast their votes = 60% of 80,500
= 60/100 × 80,500 = 48300
⇒No. of votes = 48300
Votes won by Shan = x
Votes won by Mandy = x+1300
x+x+1300 = 48300
2x = 47000
x = 23500
Votes won by Shan = x = 23500
Votes won by Mandy = x+1300 = 24800
% = 1300/80500 ×100 = 1.6%
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