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:

Question

Accepted Answer

Let the number of votes secured by S be x.

Then votes secured by R = 110% of x = (110/100) * x = 1.1x

Difference between votes = R - S = 1.1x - x = 0.1x

Given difference = 770

So, 0.1x = 770
=> x = 770 / 0.1 = 7700

Votes of S = 7700
Votes of R = 1.1 * 7700 = 8470

Total votes = R + S = 8470 + 7700 = 16170

However, the options given do not include 16170 as the correct answer. Let's re-check the calculation.

Rechecking:
Difference = 770
R = 110% of S = 1.1S
Difference = R - S = 1.1S - S = 0.1S = 770
=> S = 770 / 0.1 = 7700
R = 1.1 * 7700 = 8470
Total votes = 7700 + 8470 = 16170

Option 3 is 16170, which matches the calculation.

Therefore, the correct total votes polled is 16170.

Answer

Answer

Answer