Question

in an election there were only three candidates 20% of the population did not go to cast their votes out of those who did 15% votes were invalid and rest were received by the three candidates in the ratio 3 ratio 4 ratio 5 find the total population if the winning candidate received 34000 votes​

Answer 1

Let us assume that the total population is '1000x'.

Let us assume that the total population is '1000x'.now, 20% of total population don't cast their vote.

That means, 1000x - 20% of 1000x

=> 1000x - 200x = 800x

Now, question is also saying that 15% votes were invalid.

so, 800x - 15% of 800x

=> 800x - 120x = 680x

Ratio between all candidates = 3 : 4 : 5

Since winner got 34000 votes,

winner got 34000 votes,Therefore, 5a = 34000

a = 6800

Total votes which were received by all three candidates = 3a + 4a + 5a = 12a.

If a = 6800,

then 12a = 81600

This vote count is equal to the 680x.

so if 680x = 81600

then x = 120

and 1000x = 120000

Total population is 1,20,000. ans.