In an election between R and S, R gets 110% of the votes of S and beats S by 770 votes. If there were no invalid votes, then the total number of votes polled is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 16170.
Let the number of votes obtained by S be 100x.
⇒ Votes obtained by R = 110% of S
⇒ Votes obtained by R = 110% of 100x
⇒ 110x
Given that, R - S = 770
⇒ 110x - 100x = 770
⇒ 10x = 770
⇒ x = 77
Total number of votes polled = 100x + 110x
⇒ 210x
⇒ 210 × 77 = 16170
Hence the total number of votes polled is 16170.