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In an election, there were two candidates. One of the candidates secured 48% of the votes and was defeated by the other candidate by 756 votes. F
Question

In an election, there were two candidates. One of the candidates secured 48% of the votes and was defeated by the other candidate by 756 votes. Find the total number of votes polled.​

A.

17,800

B.

19,500

C.

15,600

D.

18900

Correct option is D

Given:

Two-candidate election

One candidate secured 48% of votes

He lost by 756 votes

Find: Total votes = T

Solution:

Since only two candidates: Winner’s share = 100% - 48% = 52%

Victory margin = 52% - 48% = 4% of total votes

Margin = 4100×\frac{4}{100}\times ​T

4100T=756\frac{4}{100}T = 756​​

T = 756×1004\frac{756\times 100}{4} ​= 18,900.

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