Question

2.there are 120 pupils in a school. 25% of them are wearing glasses, 3/5 of them wearing caps and the rest are weraing hats. how many people are wearing hats?​

Answer 1

$\large{\underline{\underline{\pmb{\frak{ Concept:- }}}}}$

Here, We have given that there are 120 pupils and 25% of them are wearing glasses, 3/5 of them wearing caps and the rest of them are wearing hats. We have to find number of pupils wearing hats.

$\large{\underline{\underline{\pmb{\frak{ Given:- }}}}}$

• Total number of pupils is 120.
• 25% of Pupils wearing glasses.
• 3/5 of pupils are wearing caps.

$\large{\underline{\underline{\pmb{\frak{ To\ Find:- }}}}}$

• How many people wearing hats ?

$\large{\underline{\underline{\pmb{\frak{ Solution:- }}}}}$

Here, We have the total number of people is 120.

Let's find first how many pupils wearing glasses,

$\bf{So,\ 120 \times \dfrac{25}{100}}$

$\bf{\Longrightarrow 30}$

Remaining pupils are :-

$\bf{\Longrightarrow 120 - 30}$

$\bf{\Longrightarrow 90}$

Now, Let's find how many people wearing caps,

$\bf{So,\ 90 \times \dfrac{3}{5}}$

$\bf{\Longrightarrow 18 \times 3}$

$\bf{\Longrightarrow 54}$

Remaining pupils are:-

$\bf{\Longrightarrow 90 - 54}$

$\bf{\Longrightarrow 36}$

$\bf{Since,\ It\ is\ given\ that\ rest\ of\ the\ pupils\ are\ wearing\ hats.}$

Hence, 36 pupils are wearing hats.