In a contest between two candidates, the one who receives 30% of the total votes cast loses by a margin of 15,000 votes. How many votes were cast for the winning candidate?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

37,500

35,700

32,000

38,900

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept: We'll assume that

is the total number of votes cast in this scenario. We are now calculating the votes for both candidates in terms of

. It is stated in theQuestion that the candidate who lost the election did so by a margin of 15000 votes. From this, we may create an equation that states that there were 15000 more votes cast for one candidate than for the other. We shall discover the value of x from this equation. The number of votes cast for the victorious candidate will then be determined by entering the value of

.
Assume there were

total votes cast.
The candidate who lost the election received 30% of the vote

.
The winning candidate received 70% of the vote

.
According to the question;

37,500 votes total are cast in an election.
Hence, the correct option is 1) 37,500

Watch 3-min video & get full concept clarity