in an election contested by two candidates x and y, a total 6000 votes were polled. if 45% of the votes were polled for x. find the difference between votes polled for x and y.
please give in step by step explanation
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The difference between votes polled for x and y is 600 votes
Step-by-step explanation:
GIVEN
Total value = 6000
x Percent = 45%
___________________________
To Find
The difference between votes polled for x and y
___________________________
We know that,
percent = part / whole × 100
45% = part / whole × 100
Part value = 45 × 6000 / 100
Part value = 270000 / 100
Part value = 950,000 / 100
Part value = 2700
x votes = 2700
Votes were polled by x is 2700
___________________________
Now,
Let's find the difference between votes polled for x and y
y = Total - x
y = 100 - 45
y = 55
y = 55%
Votes were polled by y is 55%
y = Total - x
y = 6000 - 2700
y = 3300
y votes = 3300
Votes were polled by y is 55% is 3300
Difference = y - x
Difference = 3300 - 2700
Difference = 600
Difference = 600 votes
The difference between votes polled for x and y is 600 votes
___________________________
Important
If part value and total value is given and we need to find percent
Then,
Percent = part / whole × 100
If percent and total value is given and we need to find part value
Then,
Part value = percent × whole / 100
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