Mixed Graph


When the data are represented by any two graph then it is called mixed graph.
Mixed graph is used when the desired parameter is a function of two or three variables and the data are to be presented as a combination of two or more forms of data presentation.
In mixed graph, we study various types of graph based question i.e. based on data tables, pie chart , bar chart, line graph etc.

Mixed graph may be the combination of data table and pie chart or data table and line graph or data table and bar chart or pie chart and line graph or bar chart and line graph.
Such type of questions requires a very careful analysis of data because the result is dependent on two or more graph.

Directions:( Example 1-5 ) Seven companies A, B, C, D, E, F and G are engaged in production of two items I and II. The comparative data about production of these items by the seven companies is given in the following graph and Table. Study them carefully and answer the questions given below.

Percentage of the total production produced by the seven companies

Cost of the total production (both items together) by seven companies = ₹ 25 crores
Ratio of production between items I and II and the per cent profit earned for the two items.

Ex 1.- Cost of production of item I by company F is what per cent of the cost of production of item II by company D?
(a) 16% (b) 33.33% (c) 66.67% (d) 12.5% (e) None of these

Solution:- Cost of production of item I by company F =
1
×
5
× 25 = 0.25
5 100
Cost of production of item II by company D =
5
×
8
× 25 = 1.25
8 100
Required % =
Cost of production of item I by company F
× 100%
cost of production of item II by company D
Required % =
0.25
× 100% = 20%
1.25

Ex.2 - What is the ratio of the cost of production of item I by company A to the cost of production of item I by company D?
(a) 3 : 5 (b) 1 : 2 (c) 2 : 1 (d) 2 : 3 (e) None of these

Solution:- Given , Cost of production of item I by company A =
2
×
15
× 25 = 0.75
5 100
Cost of production of item I by company D =
3
×
8
× 25 = 1.25
8 100
Required Ratio = cost of production of item I by company A : cost of production of item I by company D
= 1.50 : 0.75 = 2 : 1

Ex.3 - What is the amount of profit earned by company D on item II?
(a) ₹ 3.125 Crore (b) ₹ 31.25 Crore (c) ₹ 3.125 Lakhs (d) ₹ 31.25 Lakhs (e) None of these
Solution:- Given :- cost of the total production by companies = ₹ 25 crore
For D company ,
Ratio of total production = 8 , Ratio of total production of item II = 5 % of total production produced by D = 8%
Percent of profit earned by company D on item II = 25%

Amount of profit earned by company D on item II =
5
×
8
× 25 ×
25
= 31.25 Lakhs
8 100 100

Ex.4- What is the total cost of the production of item I by companies A and C together in ₹ crore?
(a) 9.25 (b) 5.9 (c) 4.1625 (d) 4.9 (e) None of these
Solution:- Given , cost of the total production by companies = ₹ 25 crore
For A company ,
Ratio of total production = 5 , Ratio of total production of item I = 2
% of total production produced by A = 15%
For C company ,
Ratio of total production = 5 , Ratio of total production of item I = 4
% of total production produced by C = 22%
Required Total cost = cost of the production of item I by company A + cost of the production of item I by company

Total cost =
2
×
15
× 25 +
4
× 25 +
22
× 25 = 1.5 + 4.4 = ₹ 5.9 crore
5 100 5 100

Ex.5- What is total profit earned by company G for items I and II together?
(a) ₹ 78 Lakhs (b) ₹ 1.62 Crore (c) ₹ 7.8 Crore (d) ₹ 16.2 Lakhs (e) None of these
Solution:- From above given table , we have
Given , cost of the total production by companies = ₹ 25 crores
For G company for items I ,
Ratio of total production = 3 , Ratio of total production of item I = 1
% of total production produced by G = 12%
% of profit earned by company G for items I = 30%
For G company for items II ,
Ratio of total production = 3 , Ratio of total production of item II = 2
% of profit earned by company G for items II = 24%
Total profit earned by company G for items I and II together

=
1
×
12
× 25 ×
30
+
2
×
12
× 25 ×
24
= 0.3 + 0.48 = 0.78 Crore = ₹ 78 Lakhs
3 100 100 3 100 100

Direction : ( Example 1 - 2 ) Study the following graph and table carefully and answer the questions given below it.

Ex.1- Which of the following pair of states have equal number of qualified male candidates ?
(a) A and E
(b) B and F
(c) C and E
(d) C and G
Solution :- Qualified Male Candidates from different states

A →
4
×
49
×
15
× 300000 = 9800
9 100 100
B →
6
×
61
×
18
× 300000 = 19764
10 100 100
C →
7
×
54
×
6
× 300000 = 4536
15 100 100
D →
3
×
45
×
23
× 300000 = 18630
5 100 100
E →
7
×
65
×
12
× 300000 = 12600
13 100 100
F →
11
×
57
×
19
× 300000 = 18810
19 100 100
G →
9
×
48
×
7
× 300000 = 4536
20 100 100
Hence, State C and G have equal number of qualified male candidates

Ex.2- What is the percentage of candidates qualified from states 'A' and 'C' together of the total candidates appeared?
(a) 16.23
(b) 18.33
(c) 22.23
(d) 25.33
Solution:- Number of Candidates qualified from States A and C together

=
49
×
15
× 300000 +
61
×
18
× 300000
100 100 100 100
= 22050 + 32940 = 54990

Required percentage =
54990
× 100 = 18.33%
300000

Direction:( Example- 1-5 ) Study the chart and give the answers of following questions.

Ex.1-Cars of which color when increased by 2 % and then combined with that of red cars will make 30 % of the total?
(a) Golden
(b) Blue
(c) Black
(d) Yellow
(e) None of these
Solution:- Given , Total percent of the make cars = 30%
selling of red colours' cars = 19%
Then , 30 - 19 = 11%
when increased by two percent ,
Required answer = 11 - 2 = 9% ( green )
So Answer will be green.

Ex.2- Cars of which color are 13% less popular than white colored cars?
(a) Blue
(b) Green
(c) Silver
(d) Yellow
(e) None of these
Solution:- As per above given chart ,we have
selling of white colours' cars = 26%
Since Cars of blue colour are 13% less popular than white coloured cars.
Required answer = 26 - 13 = 13% ( Blue )

Ex.3- 50% of all the cars consisted of which colors of car?
(a) Black, Golden, Blue, Red,
(b) Blue, Black, Red, Silver
(c) White, Golden, Blue, Black
(d) White, Blue, Green, Black
(e) None of these
Solution:- From above given chart ,
selling of white colours' cars = 26%
selling of Golden colours' cars = 6%
selling of Blue colours' cars = 13%
selling of Black colours' cars = 5%
Since , 50% of all the cars consist of White, Golden, Blue and Black colours of cars .
Required answer = 26 + 6 + 13 + 5 = 50%

Ex.4- If in a certain period the total production of all cars was 95400 then how many more blue cars were sold than green?
(a) 2580
(b) 3618
(c) 2850
(d) 3816
(e) None of these
Solution:- From above given chart ,we have
total production of all cars = 95400

No. of blue cars sold =
13
x 95400 = 12402
100

No. of Green cars sold =
9
x 95400 = 8586
100
Required answer = No. of blue cars sold - No. of Green cars sold
= 12402 - 8586 = 3816

Ex.5- Cars of which color are 20% less popular than white colored cars?
(a) Black
(b) Golden
(c) Red
(d) Blue
(e) None of these
Solution:- From above given chart ,
Selling of white colors' cars = 26%
Since Cars of golden color are 20% less popular than white colored cars.
Required answer = 26 - 20 = 6% = Golden