Question

in a straight contest between two candidates the loser got 38% of the votes polled and lost by 16800 votes find the total number of votes polled​

Answer 1

$\Huge{\underline{\underline{\mathfrak{ Solution \colon }}}}$

Let the total number of votes polled be R

We have, two andidates loser and winner

Then,

LOSER got total votes = 38% of R

$⟹ \frac{38}{100} \times \text {R}$

$: ⟹ \cancel \frac{38 \text{R}}{100}$

$: ⟹ \frac{ 19 \text{R} }{50}$

Now

$\text{ Winner gots total votes = R }- \frac{19\text{R} }{50}$

$: ⟹ 50 \text{R} - \frac{19 \text{R}}{50}$

$: ⟹ \frac{ 31 \text{R}}{50}$

Given: Loser lost by 16800 votes

= 31R/50 - 19R/50 = 16800

= 12R/50 = 16800

= 12R = 16800×50

= 12R = 840000

= R = 840000/12

= R = 70000

THUS,

TOTAL number of votes polled is 70000

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