A day full of math games & activities. Find one near you.

The marks out of 100 obtained by Kunal and Soni in the Half Yearly Examination are given below:
(a) Draw a double bar graph by choosing appropriate scale.
(b) Calculate the total percentage of marks obtained by Soni.
(c) Calculate the total percentage of marks obtained by Kunal.
(d) Compare the percentages of marks obtained by Kunal and Soni.
(e) In how many subjects did Soni get more marks than Kunal? Which are those subjects?
(f) Who got more marks in S. Science and what was the difference of marks?
(g) In which subject the difference of marks was maximum and by how much?

Solution:

Given, the table represents the marks out of 100 obtained by Kunal and Soni in Half yearly Examination.

(a) We have to draw a bar graph for given data by choosing appropriate scale.

(b) We have to calculate the total percentage of marks obtained by Soni.

Total marks obtained by Soni = 86 + 89 + 90 + 82 + 75 + 82 = 504

Total marks = 600

Percentage of marks = 504/600 × 100

= 504/6

= 84%

(c) We have to calculate the total percentage of marks obtained by Kunal.

Total marks obtained by Soni = 72 + 81 + 92 +96 + 64 + 85 = 490

Total marks = 600

Percentage of marks = 490/600 × 100

= 490/6

= 81.6%

(d) We have to compare the percentages of marks obtained by Kunal and Soni.

Ratio = percentage marks of Kunal/percentage marks of Soni

= 81.6/84

= 816/840

= 34 : 35

(e) We have to find in how many subjects Soni get more marks than Kunal and name those subjects.

From the graph,

In English, Hindi and S.Science, Soni got more marks than Kunal.

In 3 subjects Soni got more marks than Kunal.

(f) We have to find who got more marks in S. Science and the difference of marks.

Marks obtained in S.Sciene by Soni = 75

Marks obtained in S.Science by Kunal = 64

Soni got more marks.

Difference of marks = 75 - 64 = 11

(g) We have to find the subject in which the difference of marks was maximum and by how much.

Difference of marks in English = 86 – 72 = 14

Difference of marks in Hindi = 89 – 81 = 8

Difference of marks in Maths = 92 – 90 = 2

Difference of marks in Science = 96 – 82 = 14

Difference of marks in S. Science = 75 – 64 = 11

Difference of marks in Sanskrit = 85 – 82 = 3

The difference of marks in Science was maximum by 14 marks.

✦ Try This: The data given below shows the production of motor bikes in a factory for some months of two consecutive years.

Months	January	February	March	April	May
2009	3000	4000	3400	3300	5600
2008	4500	3500	4600	3200	5400

Study the table given above and answer the following questions: Find the mean production for the year 2008

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 3

NCERT Exemplar Class 7 Maths Chapter 3 Problem 86

The marks out of 100 obtained by Kunal and Soni in the Half Yearly Examination are given below: (a) Draw a double bar graph by choosing appropriate scale. (b) Calculate the total percentage of marks obtained by Soni. (c) Calculate the total percentage of marks obtained by Kunal. (d) Compare the percentages of marks obtained by Kunal and Soni. (e) In how many subjects did Soni get more marks than Kunal? Which are those subjects? (f) Who got more marks in S. Science and what was the difference of marks? (g) In which subject the difference of marks was maximum and by how much

Summary:

(a) A double bar graph by choosing appropriate scale is mentioned above, (b) The total percentage of marks obtained by Soni is 84%, (c) The total percentage of marks obtained by Kunal is 81.6%, (d) The ratio of percentages of marks obtained by Kunal and Soni is 34:35, (e) Soni get more marks than Kunal in 3 subjects i.e.,English, Hindi and S.Science, (f) Soni got more marks in S. Science and the difference of marks was 11, (g) In Science the difference of marks was maximum by 14 marks.

☛ Related Questions: