Question

In a Vidhan sabha election, the candidate got 55% votes of total valid votes. Out of them 2% votes declared invalid. Where as if the total number of votes is 104000, so how many total valid votes the candidate got?

Answer 1

Hint: To initialize this type of question candidate got 55% of total votes. We know that the total percentage of votes can be 100. We are given that 2% are declared invalid means total valid votes left 98%. So now this 98% percent will be total valid votes. This 98% will be treated as 100% for the 55% valid votes that the candidate got. So one should have basic information regarding the percentage system.

Complete step by step solution:
Given, total number of votes = $104000$
Percentage of votes declared invalid = $2\% $
Percentage of votes candidate get = \[55\% \]of valid votes
So first of all we will find 2% of total votes. And we will subtract it from total, then we will get the valid votes so it will become lengthy. It is easy to make 98% percent of total vote so that we would get the valid votes directly.
Total valid votes = total votes $ \times 98\% $
$
  104000 \times \dfrac{{98}}{{100}} \\
   = 101920 \\
 $
The candidate got $55\% $of total valid votes
$ = $ valid votes $ \times 55\% $
$
   = 101920 \times \dfrac{{55}}{{100}} \\
   = 56056 \\
 $
So the total number of valid votes that the candidate get = $56056$

Note: If you are thinking that $2\% $of the votes which are declared invalid are from the candidates votes then you are totally wrong. You can make mistakes here. The $2\% $ votes which are declared invalid are from the total number of votes polled.