Question

A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this survey.

From this pie chart answer the following −

(i) If $20$ people liked classical music, how many young people were surveyed?

(ii) Which type of music is liked by the maximum number of people?

(iii) If a cassette company were to make $1000$ CD’s, how many of each type would they make?

Answer 1

(i)

Number of people who like classical music $=10\%$

It is given that, $20$ people are liked classical music.

i.e., $10\%$ represents $20$ people.

Let the total number of people be $x$.

$\Rightarrow 10\%$ of $x=20$

$\Rightarrow \frac{10}{100}\times x=20$

$\Rightarrow \frac{x}{10}=20$

$\Rightarrow x=20\times 10$

$\Rightarrow x=200$

Therefore, $200$ young people were surveyed.

(ii)

From the pie chart, it can be easily observed that the light music is represented by the maximum part of the pie chart (i.e., $40\%$).

Hence, most of the people like light music.

(iii)

Total number of CD's made by cassette company $=1000$

Number of CD’s of classical music $=10\%$ of $1000$

$=\frac{10}{100}\times 1000$

$=100$

Number of CD’s of semi-classical music $=20\%$ of $1000$

$=\frac{20}{100}\times 1000$

$=200$

Number of CD’s of folk music $=30\%$ of $1000$

$=\frac{30}{100}\times 1000$

$=300$

Number of cassettes of light music $=40\%$ of $1000$

$=\frac{40}{100}\times 1000$

$=400$