| In a college election between two rivals a candidate who got 40% of the total votes polled, was defeated by his rival by 160 votes. The total number of votes polled was |
A) 900
B) 800
C) 700
D) 600
Correct Answer: B
Solution :
| A candidate got 40% of the total was polled in a college election. |
| Then, his rival got \[(100-40)=60%\]of the total votes polled in the college election. |
| Let the total number of votes polled was x. |
| According to the question, |
| \[x\times \frac{60}{100}=\frac{40}{100}\times x+160\] |
| \[\Rightarrow \] \[\frac{60x}{100}-\frac{40}{100}x=160\] |
| \[\Rightarrow \] \[\frac{20x}{100}=160\]\[\Rightarrow \]\[\frac{2}{10}x=160\] |
| \[\Rightarrow \] \[\frac{1}{5}x=160\] |
| \[\Rightarrow \] \[x=160\times 5=800\] |
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