Question

7. Out of 1200 people, 800 know only English, 50 know only punjabi and the rest know both languages. Find the percentage of
(a) people who know only English
(b) people who know both English and Punjabi

Answer 1

SOLUTION :

Total number of people = 1200

Now,

Out of all the number of people who only knows English = 800

Out of all the number of people who only knows Punjabi = 50

And

The rest know both English and Punjabi

= 1200 - (800 + 50)

= 1200 - 850

= 350

So,

Out of all the number of people who knows both English and Punjabi = 350

To be found :-

(a) the percentage of people knowing only English

(b) the percentage of people knowing both English and Punjabi

(a) the percentage of people knowing only English

=  $\frac{Number \:of \: people \: knowing \: English }{Total \:number \:of\: people} \times 100$

= $\frac{800}{1200} \times 100$

= 66.66%

(b) the percentage of people knowing both English and Punjabi

=  $\frac{Number \:of \: people \: knowing \: both \: English \: and \: Punjabi}{Total \:number \:of\: people} \times 100$

=  $\frac{350}{1200} \times 100$

= 29.16 %

Hence,

the percentage of people knowing only English is 66.66%

the percentage of people knowing both English and Punjabi is 29.16%

Answer 2

Solutions :-

Given :
Total number of people = 1200
People know English = 800
People know Punjabi = 50


a) Find the percentage of people who know only English :-

$= \frac{People \: \: know \: \: English}{Total \: \: number \: \: of \: \: people} \times 100\% \\ \\ = \frac{800}{1200} \times 100\% \\ \\ = \frac{80000}{1200} \% = 66.67\%(approx.)$


Hence,
66.67 % people know only English.



Find the number of people who know both languages :-

Total number of people - (people know English + people know Punjabi)
= 1200 - (800 + 50)
= 1200 - 850
= 350



Find the percentage of people who know both English and Punjabi :-


$= \frac{350}{1200} \times 100\% \\ \\ = \frac{35000}{1200} \% = 29.16 \% (approx)$


Hence,
The percentage of people who know both English and Punjabi = 29.16 %