We have already covered the Bar Graphs, Line Graphs and Tabular representation of the Data and their interpretation in our previous articles. We also focused upon some important points—such as the headings, the format of the question asked, etc.—which are to be always kept in mind while figuring out the questions. Bearing the same points in mind, we will cover Mixed Graph D.I. in this article.
Watch Class on Mixed Graphs D.I. Here
Mixed Graphs
Introduction
Candidates often opine that those question where a question on DI consists of a pie chart, bar graphs or line graphs, all in one question, is rather too complicated and difficult. This, however, isn't true. Mixed Graph, if interpreted correctly, is the simplest form of data representation. In Mixed Graphs, we encounter a combination of two (or sometimes more) types of data representation, which are :
- Pie Chart and Data Table
- Data Table and Line Graph
- Bar Graph and Line Graph
- Pie Chart and Line Graph
- Pie Chart and Pie Chart
The above-mentioned types are the most common ones.
Sample Question
Directions: Five different companies A, B, C, D and E make two items I and II. The total number of items produced by these five companies is 80 thousand. The cost of production of each item is Rs 5000. The distribution of the total production by these companies is given in the following pie-chart and the table shows the ratio of production of Item I to that of Item II and the percentage profit earned by these companies on each of these items.
Question 1: What is the profit earned by Company C on Item II?
[1] Rs 57.6 lakhs
[2] Rs 55.4 lakhs
[3] Rs 56.8 lakhs
[4] Rs 54 lakhs
[5] None of these
Being good at dealing with ratios helps much in solving these sorts of questions. Let’s realize the final answer step by step.
Number of items produced by company C = [72/360]*80000 = X
Cost of production = X*5000 = Y
Cost of production of Item II = [3/5]*Y = Z
Percent profit earned on Item II = 12% of Z = [12/100]*Z
= [3/5]*[12/100]*Y = 5000*[3/5]*[12/100]*X
= [72/360]*80000*[3/5]*5000*[12/100] = 5760000 = 57.6 lakh. Answer [1] is correct.
NOTE: With adequate practice, you can easily compute all this in just a single step!
Question 2: What is the total cost of production of Item I by companies A and B together?
[1] Rs 5 crores
[2] Rs 6 crores
[3] Rs 8 crores
[4] Rs 9 crores
[5] None of these
Using the approach as mentioned above:
Cost of producing Item I of company A = [90/360]*80000*[2/5]*5000
Cost of producing Item I of company B = [108/360]*80000*[1/3]*5000
Total = 80000*5000*[(90/360)*(2/5) + (108/360)*(1/3)] = 80000*5000*[1/5] = 8 crores.
Answer [3] is correct.
Question 3: What is the total of the profit earned by Company E on the production of Item I and the profit of Company D on the production of Item II?
[1] Rs 1.56 crores
[2] Rs 2.2 crores
[3] Rs 1.3 crores
[4] Rs 2.6 crores
[5] None of these
Using a similar approach:
Total = 80000*5000*[(36/360)*(4/5)*(30/100) + (54/360)*(2/5)*(25/100)] = 1.56 crores.
Answer [1] is correct.
Question 4: What is the ratio of the cost of production of Item II by Company A to the cost of production of Item I by Company E?
[1] 17:12
[2] 4:5
[3] 7:4
[4] 15:8
[5] 1:2
Solution :
[90/360]*[3/5] : [36/360]*[4/5] = 90*3 : 36*4 = 30:16 = 15:8.
Answer [4] is correct.
Question 5: The cost of production of Item II for Company E is what per cent of the cost of production of Item I for Company A?
[1] 80%
[2] 20%
[3] 60%
[4] 75%
[5] 40%
the required percentage is:
{([36/360]*[1/5]) / ([90/360]*[2/5])}*100 = [36/180]*100 = 20 percent.
Answer [2] is correct.
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