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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 CDs. How many of each type would they make?

Answer :

(i) let, the number of young people surveyed =x

∴10% of x=20

\(\Rightarrow \frac { 100\times x}{ 10 } = 20 \)

\(\Rightarrow x=200\)

Thus, number of young people surveyed = 200

(ii) Light music is liked by the maximum people, i.e., 40%

(iii) Total number of CD = 1000

Number of CD’s in respect of:

classical music =\( \frac { 10\times 1000 }{ 100 } = 100\)

semi-classical music = \(\frac { 20\times 1000 }{ 100 } = 200\)

light music = \(\frac { 40\times 1000 }{ 100 } = 400\)

folk music = \(\frac { 30\times 1000 }{ 100 } = 300\)

- 2.A group of 360 people were asked to vote for their favourite season from the three seasons rainy, winter and summer. (i) Which season got the most votes? (ii) Find the central angle of each sector. (iii) Draw a pie chart to show this information.
- 3. Draw a pie chart showing the following information. The table shows the colours preferred by a group of people. Find the proportion of each sector. For example, Blue is \(\frac { 18 }{ 36 } =\frac { 1 }{ 2 }\) ; Green is \(\frac { 9 }{ 36 } =\frac { 1 }{ 4 }\) and so on. Use this to find the corresponding angles.
- 4. The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions. (i) In which subject did the student score 105 marks? (ii) How many more marks were obtained by the student in Mathematics than in Hindi? (iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.
- 5.The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart.

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