Data Interpretation Set - Double Diagram

Today we are sharing Data Interpretation Practice Set. Try to solve the following Questions based on data given in Pie Chart and Table and Share your marks in comment box.

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Two types of medicines A and B are manufactured by seven different companies X1, X2, X3, X4, X5, X6 and X7. The production of each company (inclusive of both medicines A and B) is expressed as a percentage of total production and represented in the pie-chart given below. This pie-chart is
followed by a table which shows the ratio in which each company produces the two medicines and also the percent profit that each company earns in selling medicines A and B. Study the given information and answer the questions that follow.


Ratio of production between medicines A and B and the percent profit earned for the two medicines.

COMPANY
RATIO OF  PRODUCTION
PERCENT PROFIT EARNED

Medicine A
Medicine B
Medicine A
Medicine B
X1
3
2
32
35
X2
2
3
25
20
X3
1
2
30
24
X4
1
4
35
25
X5
5
3
28
30
X6
3
5
15
25
X7
4
1
20
22

1) Find the ratio of cost of production of medicine A by Company X2 to that by Company X6?

a) 1:2
b) 2:3
c) 2:1
d)3:5
e) None of these

2) The total cost of production of medicine A by company X2 and medicine B by X1?

a)  Rs. 6.6 crores
b)  Rs. 3.35 crores
c)  Rs. 8.12 crores
d)  Rs. 7.8 crores
e) None of these
3) What is the total cost of production of medicine B by Companies X3 and X4 together?
a)  Rs. 7.45 crores
b) Rs. 9 crores
c) Rs. 8.50 crores
d) Rs. 11 crores
e) None of these
4) The cost of production of both medicines together by Company X5 is equal to the total cost of production of both medicines together by which of the two companies?
a) X1 and X3
b) X6 and X7
c) X4 and X7
d) X2 and X6
e) None of these
5) Find the amount of profit earned by Company X6 on medicine B.
a) Rs.9.375 crores
b) Rs. 13.45 crores
c) Rs. 75.15 crores
d) Rs. 93.75 crores
e) None of these
6) What is the total profit earned by Company X3 for medicines A and B together?
a) Rs. 2.34 crores
b) Rs. 4.86 crores
c) Rs. 96.4 lakhs
d) Rs. 1.44 crores
e) None of these
7) The profit earned by Company X5 on production of medicine A added to the profit earned by Company X7 on production of medicine B is approximately
a) Rs. 9.18 crores
b) Rs. 5.19 crores
c) Rs. 6.71 crores
d) Rs. 4.27 crores
e) None of these

 ANSWERS

1) Option - c); 2:1

2) Option - d); Rs.7.8 crores

3) Option - b); Rs. 9 crores

4) Option - c); X4 and X7

5) Option - d); Rs. 93.75 crores

6) Option - a); Rs. 2.34 crores

7) Option - d); Rs. 4.27 crores

==>> Follow Data Interpretation Guide


 SOLUTION

1) Cost of production (A + B) by X2 = (15% of 75) crores
    
Cost of production of medicine A by X2 = (2/5 of (15% of 75) crores
                                                                      = 4.5 crores

Similarly, cost of production of medicine A by X6 = (3/8 of (8% of 75) crores
                                                                                  = 2.25 crores

Required Ratio = 4.5 / 2.25 = 2:1

2) Cost of production of medicine A by company X2 = [2/5 of (15% of 75)] crores
                                                                                      = 4.5 crores

    Cost of production of medicine B by company X1 = [2/5 of (11% of 75)] crores
                                                                                     = 3.3 crores
=> Total cost = (4.5 + 3.3) crores = 7.8 crores

3) Cost of production of medicine B by company X3 = [2/3 of (12% of 75)] crores
                                                                                     = 6 crores

    Cost of production of medicine B by company X4 = [4/5 of (5% of 75)] crores
                                                                                     = 3 crores

=> Total cost = (6 + 3) crores = 9 crores

4) It is clear from the pie chart that the cost of production of both the medicines together by company X5  = (27% of 75) crores

Similarly, we have (from the pie chart) that the production of both the medicines together by combinations of companies is as follows:

(i) (X1 + X3) = [(11% + 12%) of 75] crores = (23% of 75) crores

(ii) (X6 + X7) = [ (8% + 22%) of 75] crores = (30% of 75) crores

(iii) (X4 + X7) = [(15% + 22%)of 75] crores = (27% of 75) crores
which is same as that for company X5.

(iv) (X2 + X6) = [(15% + 8%) of 75] crores = (23% of 75) crores

5) Cost of production of medicine B by company X6 = [ 5/8 of (8% of 75)] crores
                                                                             = 15/4 crores
    Now, Profit earned = 25% of cost of production
                                    = (25% of 15/4) crores
                                    = 93.75 lakhs

6) Profit earned by Company X3 for medicine A
 = {30% of [1/3 of (12% of 75)]} crores = 0.90 crores

Profit earned by Company X3 for medicine B
= {24% of [2/3 of (12% of 75)]} crores = 1.44 crores

Total profit earned by Company X3 = (0.90 + 1.44) crores
                                                    = 2.34 crores

7) Profit earned by Company X5 for medicine A
= [28% of {5/8 of (27% of 75}] crores = 3.54 crores

Profit earned by Company X7 for medicine B
= [ 22% of { 1/5 of (22% of 75)}] crores = 0.73 crores

Total profit = (3.54 + 0.73) crores = 4.27 crores






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