Question

There are 200 children in class. 20% of them went to play, 30% of them are eating food, rest of them are reading. Find the number of children reading ?​

Answer 1

➤ Given :-

Total students in a class :- 200

Percent of children playing :- 20%

Percent of children eating :- 30%

➤ To Find :-

Number of children reading in class.............

➤ Solution :-

First, we should find the number of children playing and eating food in numerical format...........

Number of children playing :-

${ \tt \longrightarrow 20 \bf\% \sf \: \: of \tt \: \: 200}$

${ \tt \longrightarrow \dfrac{20}{100} \times 200}$

${ \tt \longrightarrow \dfrac{20}{ \cancel{100}} \times \cancel{200} = \boxed{ \tt 20 \times 2}}$

$\tt \longrightarrow 40 \sf \: \: children$

Number of children eating food :-

${ \longrightarrow \tt 30 \bf\% \: \sf \: of \tt \: \: 200}$

${ \tt \longrightarrow \dfrac{30}{100} \times 200}$

${ \tt \longrightarrow \dfrac{30}{ \cancel{100}} \times \cancel{200} = \boxed{ \tt 30 \times 2}}$

$\tt \longrightarrow 60 \sf \: \: children$

Now, we know that

Total children :- 200

Number of children playing :- 40

Number of children eating food :- 60

So,

Number of children reading :-

${ \tt \longrightarrow 200 - (40 + 60)}$

$\tt \longrightarrow 200 - 100$

$\tt \longrightarrow 100 \sf \: \: children$

$\Huge\therefore$100 children are reading in the class.

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More to know..............

• Percentage is written by the symbol of %.
• It is used all over the world. It is mostly used in schools and collages to calculate the marks of students. The percentage can also be converted into fraction and decimal form.
• To convert the fraction to percentage form, we should multiply the given fraction with 100.
• To convert thr decimal to percentage form, first we should convert it to fraction form and then multiply by 100.

Answer 2

$\large \sf\underline{ \underline{ \red{given : }}}$

• Total students = 200

• 30% of students are eating food.

• 20% of students are playing.

$\\ \\ \large \sf\underline{ \underline{ \red{to \: find : }}}$

• Number of students reading.

$\\ \\ \large \sf\underline{ \underline{ \red{solution : }}}$

➻ First we will find percentage of number of students reading.

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➣ 20% playing.

➣ 30% eating.

Remaining students are reading.

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➟ So, % of students reading = 100-(20+30)

= 50%

$\\ \therefore \: \sf{50\% \: of \: students \: are \: reading.}$

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➻ Now , we will find 50% of 200.

$\\ \implies \tt{ \frac{50}{ \cancel{100}} \times { \cancel{200}} \: ^{2} } \\ \\ \implies \tt{100 \: students}$

Hence , 100 students are reading.