19.In an election the defeated candidate got 47% votes and he defeated by
300 votes. How many votes did the winning candidate get?
Answers
Let the total number of votes be x.
The number votes the defeated candidate got was 47x/100.
The winning candidate got 100-47 = 53% votes.
So the number of votes that the winning candidate got is 53x/100.
The winning candidate got 300 votes more than defeated candidate.
So,
47x/100 + 300 = 53x/100
300 = 53x - 47x /100
300 = 6x/100
30000 = 6x
x = 30000/6
x = 5000
Therefore total number of votes is 5000.
Number of votes secured by winning candidate is ,
53 × 5000 / 100 = 53 × 50 = 2650
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@spyder
Answer:
winning candidate secured 2650 votes
Step-by-step explanation:
let total number of votes be x
defeated candidate got 47% of total number of votes
so he got 47% of x votes
= ( 47 / 100 ) x votes
now, winning candidate got 100 - 47 = 53 % of total number of votes
so he got 53 % of x votes
= ( 53 / 100 ) x votes
defeated candidate was defeated by 300 votes
so difference between winning candidate and defeated candidate is 300
=> 53/100 x - 47/100 x = 300
6/100 x = 300
=> 6x = 300 * 100 = 30000
=> x = 30000/6 = 5000
so total number of votes is 5000
winning candidate secured 53 % of total number of votes
= 53/100 * x
= 53/100 * 5000
= 53 * 50
= 2650
so winning candidate secured 2650 votes