Question

A total of 300 people watched a movie . 65% of the people liked the movie . How many people did not like the movie ?
As in my book, it's written 105, but when I'm doing it's coming 195. Please help me. I will mark your answer as brainiest .Please do it with explanation. ​

Answer 1

${\underline {\boxed {\Large {\bf \gray { 105 \: People } }}}}$

Clarification :

Here, we are given that total number of people who watched the movie are 300. And, 65 % of them liked the movie. We have to finf the number of people who didn't like the movie.

As per the given question, if 65 % liked the movie then rest didn't like the movie. So, 300 people will be considered as 100 % and 65 % liked the movie so 35 % of 300 didn't like the movie. We'll find the 35 % of 300 in order to find the number of people who didn't like the movie.

Explication of steps :

Method ⑴ ::

⪼ Total number of people who watched the movie= 300

⪼ % age of people who liked it = 65 %

If 65 % liked then remain people didn't like the movie. So,

→ % age of people who didn't like = ( 100 % - 65 % ) of 300

→ % age of people who didn't like = 35 % of 300

Now, converting percentage to fraction :

→ Number of people who didn't like the movie = $\sf {\Bigg \lgroup \dfrac{35}{ \cancel{100}} \times \cancel{300} \Bigg \rgroup }$

→ Number of people who didn't like the movie = $\sf {35 \times 3 }$

→ Number of people who didn't like the movie = $\sf {105 }$

→ $\underline{\boxed{\sf{ People_{(Didn't\: like \: movie)} = 105 } }} \: \red{\bigstar}$

Therefore, Number of people who didn't like the movie are 105.

Method ⑵ ::

⪼ Total number of people who watched the movie= 300

⪼ % age of people who liked it = 65 %

As per the question,

~ Number of people who didn't like = Total number of people – Number of people who liked

→ Number of people who liked = 65 % of 300

→ Number of people who liked = $\sf {\Bigg \lgroup \dfrac{65}{ \cancel{100}} \times \cancel{300} \Bigg \rgroup }$

→ Number of people who liked = $\sf {195 }$

So,

→ Number of people who didn't like = Total number of people – Number of people who liked

→ Number of people who didn't like = 300 - 195

→ Number of people who didn't like = 105

→ $\underline{\boxed{\sf{ People_{(Didn't\: like \: movie)} = 105 } }} \: \red{\bigstar}$

Therefore, Number of people who didn't like the movie are 105.

Answer 2

Step-by-step explanation:

Clarification :

Here, we are given that total number of people who watched the movie are 300. And, 65 % of them liked the movie. We have to finf the number of people who didn't like the movie.

As per the given question, if 65 % liked the movie then rest didn't like the movie. So, 300 people will be considered as 100 % and 65 % liked the movie so 35 % of 300 didn't like the movie. We'll find the 35 % of 300 in order to find the number of people who didn't like the movie.

Explication of steps :

Method ⑴ ::

⪼ Total number of people who watched the movie= 300

⪼ % age of people who liked it = 65 %

If 65 % liked then remain people didn't like the movie. So,

→ % age of people who didn't like = ( 100 % - 65 % ) of 300

→ % age of people who didn't like = 35 % of 300

Now, converting percentage to fraction :

→ Number of people who didn't like the movie = \sf {\Bigg \lgroup \dfrac{35}{ \cancel{100}} \times \cancel{300} \Bigg \rgroup }

⎩

⎪

⎪

⎪

⎪

⎪

⎧

100

35

×

300

⎭

⎪

⎪

⎪

⎪

⎪

⎫

→ Number of people who didn't like the movie = \sf {35 \times 3 }35×3

→ Number of people who didn't like the movie = \sf {105 }105

→ \underline{\boxed{\sf{ People_{(Didn't\: like \: movie)} = 105 } }} \: \red{\bigstar}

People

(Didn

′

tlikemovie)

=105

★

Therefore, Number of people who didn't like the movie are 105.

Method ⑵ ::

⪼ Total number of people who watched the movie= 300

⪼ % age of people who liked it = 65 %

As per the question,

~ Number of people who didn't like = Total number of people – Number of people who liked

→ Number of people who liked = 65 % of 300

→ Number of people who liked = \sf {\Bigg \lgroup \dfrac{65}{ \cancel{100}} \times \cancel{300} \Bigg \rgroup }

⎩

⎪

⎪

⎪

⎪

⎪

⎧

100

65

×

300

⎭

⎪

⎪

⎪

⎪

⎪

⎫

→ Number of people who liked = \sf {195 }195

So,

→ Number of people who didn't like = Total number of people – Number of people who liked

→ Number of people who didn't like = 300 - 195

→ Number of people who didn't like = 105

→ \underline{\boxed{\sf{ People_{(Didn't\: like \: movie)} = 105 } }} \: \red{\bigstar}

People

(Didn

′

tlikemovie)

=105

★

Therefore, Number of people who didn't like the movie are 105.