Question

in an election ,a candidate got 70% of total valid votes.20%of the total votes were declared invalid.if total no of votes is 600000,find the number of valid votes polled in favour of the candidate​​

Answer 1

$\sf {\orange{\underline{\green{\underline{Given:}}}}}$

• Valid votes $\rm{=70\%}$
• Invalid votes(declared)$\rm{=20\%}$
• Total votes given$\rm{=6,00,000}$

$\sf {\orange {\underline {\pink{\underline{To~find:}}}}}$

• The number of valid votes polled in favour of the candidate.

$\sf {\orange{\underline{\blue{\underline{Solution:}}}}}$

★First ,we will find the number of invalid votes.

Total number of invalid votes $\rm{=20\%~of~6,00,000}$

$\rm\mapsto\dfrac{20}{100}×600000$

$\rm\mapsto{20×6000=120000}$

★Now,find the number of valid votes that were polled.

$\rm{→6,00,000-120,000=480,000}$

→Percentage of valid votes polled in favor of the candidate (given) $\rm{=70\%}$

Hence,number of valid votes polled in favour of the candidate $\rm{=70\%~of~480,000}$

$\rm\leadsto\dfrac{70}{100}×480000$

$\rm\leadsto{336000~votes~valid.}$

Thus,the number of valid votes polled in favour of the candidate is $\sf{336000.}$

Answer 2

$\sf {\orange{\underline{\green{\underline{Given:}}}}}$

• Valid votes $\rm{=70\%}$
• Invalid votes(declared)$\rm{=20\%}$
• Total votes given$\rm{=6,00,000}$

$\sf {\orange {\underline {\pink{\underline{To~find:}}}}}$

• The number of valid votes polled in favour of the candidate.

$\sf {\orange{\underline{\blue{\underline{Solution:}}}}}$

★First ,we will find the number of invalid votes.

Total number of invalid votes $\rm{=20\%~of~6,00,000}$

$\rm\mapsto\dfrac{20}{100}×600000$

$\rm\mapsto{20×6000=120000}$

★Now,find the number of valid votes that were polled.

$\rm{→6,00,000-120,000=480,000}$

→Percentage of valid votes polled in favor of the candidate (given) $\rm{=70\%}$

Hence,number of valid votes polled in favour of the candidate $\rm{=70\%~of~480,000}$

$\rm\leadsto\dfrac{70}{100}×480000$

$\rm\leadsto{336000~votes~valid.}$

Thus,the number of valid votes polled in favour of the candidate is $\sf{336000.}$