Question

in a certain polling booth there are 8500 voters . 15% of them failed to vote . calculate the number of people who voted.​

Answer 1

Answer:

7225

Given:

• Total number of voters in the booth = 8500 voters

• Percentage of voters who failed to vote = 15 %

To calculate:

• Number of voters who voted.

Calculation:

Method I ::

According to the question,

⇒ Number of people who voted = Total number of voters - Number of the voters who failed to vote

⇒ Number of people who voted = 8500 - ( 15 % of total number of voters )

⇒ Number of people who voted = 8500 - $\sf {\Bigg \lgroup \dfrac{15}{100} \times 8500 \Bigg \rgroup }$

⇒ Number of people who voted = 8500 - ( 15 × 85 )

⇒ Number of people who voted = 8500 - 1275

⇒ Number of people who voted = 7225

Henceforth, the number of people who voted is 7225.

Method II ::

According to the question,

→ 15 % of total number of voters failed to vote.

So,

⇒ Percentage of people who voted = (100 % - 15 %) of total voters

⇒ Percentage of people who voted = 85 % of total voters

⇒ Number of people who voted = $\sf {\Bigg \lgroup \dfrac{85}{100} \times 8500 \Bigg \rgroup }$

⇒ Number of people who voted = 85 × 85

⇒ Number of people who voted = 7225

Henceforth, the number of people who voted is 7225.

Answer 2

Number of voters = 8500

Percentage of voters who failed to vote = 15%

∴ Percentage of voters who casted their vote = (100 - 15)% = 85%.

Or, 85% of 8500

= 85/100 × 8500

= 85 × 85

= 7225 voters.

So, out of 8500 voters, 7225 actually casted their vote.