Question

In an election 5,42,931 votes were found valid, 68,748 votes were found invalid and 37,897 persons did not come to vote. How many votes were registered in all?

Answer 1

Hint: In this question, we need to determine the total number of registered votes such that 5,42,931 votes were found valid, 68,748 votes were found invalid and 37,897 persons did not come to vote. For this, we will use the idea for the election process and evaluate the same.

Complete step-by-step answer:
The citizens of India who have completed the age of 18 years are eligible to vote. In other words, a registered vote is from the citizens of India who have completed 18 years.
During an election, votes have to be casted for the candidate associated with a political party for the specified post and role. On the day of election, not all voters come up to vote due to several reasons like unavailability, lack of knowledge, lack of citizenship, etc. and these votes are counted for the persons who have not casted their vote.
Many times, the votes casted by the voters are considered to be invalid due to not following the definite rules and regulations.
The winning of the candidate depends on the valid votes casted by the voters. If a candidate gets more than 50% of the total valid votes then, he/she has been considered as the winner of the election for the particular Assembly Constituency.
The sum of the valid votes, invalid votes and the non-casted votes results in the count of the total registered voters. Mathematically, \[T = {V_v} + {V_i} + {V_{nc}}\].
According to the question, 542931 votes are valid, 68748 found to be invalid while 37897 voters didn’t casted their votes at all. So, we are now substituting the values in the equation \[T = {V_v} + {V_i} + {V_{nc}}\] to determine the total number of registered votes.
\[
  T = {V_v} + {V_i} + {V_{nc}} \\
   = 542931 + 68748 + 37897 \\
   = 549576 \\
\]
Hence, the total number of registered votes is 549576.

Note: Students should not get confused with the term “Invalid Votes” to the “Non-casted Votes”. These two terms are completely different. Non-casted votes are the one which are not been casted by any person belonging to the Assembly Constituency while invalid votes are the one which are being casted but due to certain reasons they would not be counted in the final result.