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 piechart given below. This piechart
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.
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
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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