# Data Interpretation Capsules - Edwin Jose, CAT DILR 100 Percentiler - Set 7

• DIRECTIONS: The following line graph gives the percent profit earned by two Companies X and Y during the period 1996 - 2001. (1) The incomes of two Companies X and Y in 2000 were in the ratio of 3:4 respectively. What was the respective ratio of their expenditures in 2000 ?
a) 7:22
b) 14:19
c) 15:22
d) 27:35

(2) If the expenditure of Company Y in 1997 was Rs. 220 crores, what was its income in 1997 ?
a) Rs. 312 crores
b) Rs. 297 crores
c) Rs. 283 crores
d) Rs. 275 crores

(3) If the expenditures of Company X and Y in 1996 were equal and the total income of the two Companies in 1996 was Rs. 342 crores, what was the total profit of the two Companies together in 1996 ? (Profit = Income - Expenditure)
a) Rs. 240 crores
b) Rs. 171 crores
c) Rs. 120 crores
d) Rs. 102 crores

(4) The expenditure of Company X in the year 1998 was Rs. 200 crores and the income of company X in 1998 was the same as its expenditure in 2001. The income of Company X in 2001 was?
a) Rs. 465 crores
b) Rs. 385 crores
c) Rs. 335 crores
d) Rs. 295 crores

(5) If the incomes of two Companies were equal in 1999, then what was the ratio of expenditure of Company X to that of Company Y in 1999?
a) 6:5
b) 5:6
c) 11:6
d) 16:15

Solution:

(1) Option C
Let the incomes in 2000 of Companies X and Y be 3x and 4x respectively.
And let the expenditures in 2000 of Companies X and Y be E1 and E2 respectively.
Then, for Company X we have:
65 = (3X-E1)/E1 ×100 ═> 65/100 = 3X/E1 - 1=> E1 = 3X × 100/165
Then, for Company Y we have:
50 = (4X-E2)/E2 ×100 ═>50/100=4X/E2 - 1 => E2 = 4X×100/150
Therefore E1/E2=(3×150)/(4×165)=15/22

(2) Option B
Profit percent of Company Y in 1997 = 35.
Let the income of Company Y in 1997 be Rs. x crores.
Then, 35 = (X-220)/220×100 => x=297

(3) Option D
Let the expenditures of each company’s X and Y in 1996 be Rs. x crores.
And let the income of Company X in 1996 be Rs. z crores.
So that the income of Company Y in 1996 = Rs. (342 - z) crores.
Then, for Company X we have:
Then, for Company X we have:
40 = (Z-X)/X ×100 ═>40/100=Z/X-1=>X=100Z/140
Then, for Company Y we have:
45 = (342-z)/X ×100 ═>45/100=(342-Z)/X-1=>X
= ((342-z)×100)/145
Therefore z = 168 and x=120
Total expenditure of Companies X and Y in 1996 = 2x = Rs. 240 crores.
Total income of Companies X and Y in 1996 = Rs. 342 crores.
Total profit = Rs. (342 - 240) crores = Rs. 102 crores.

(4) Option A
Let the income of Company X in 1998 be Rs. x crores.
Then, 55 = (X-200)/200 ×100 => x = 310
Expenditure of Company X in 2001 = Income of Company X in 1998
= 310 crore
Let the income of Company X in 2001 be Rs. z crores.
Then, 50 = (Z-310)/310 × 100 => z = 465
Income of Company X in 2001 = Rs. 465 crores.

(5) Option D
Let the incomes of each of the two Companies X and Y in 1999 be Rs. x.
And let the expenditures of Companies X and Y in 1999 be E1 and E2 respectively.
Then, for Company X we have:
50 = (X-E1)/E1 ×100 ═>40/100=X/E1-1=>X=150E1/100………..(i)
Also, for Company Y we have:
60 = (X-E2)/E2 ×100 ═>60/100=X/E2-1=>X=160E1/100………..(ii)
From (i) and (ii), we get: E1/E2=16/15

DIRECTIONS: Study the following line graph and answer the questions. (1) For which of the following pairs of years the total exports from the three Companies together are equal?
a) 1995 and 1998
b) 1996 and 1998
c) 1997 and 1998
d) 1995 and 1996

(2) Average annual exports during the given period for Company Y is approximately what percent of the average annual exports for Company Z?
a) 87.12%
b) 89.64%
c) 91.21%
d) 93.33%

(3) In which year was the difference between the exports from Companies X and Y the minimum?
a) 1994
b) 1995
c) 1996
d) 1997

(4) What was the difference between the average exports of the three Companies in 1993 and the average exports in 1998?
a) Rs. 15.33 crores
b) Rs. 18.67 crores
c) Rs. 20 crores
d) Rs. 22.17 crores

(5) In how many of the given years, were the exports from Company Z more than the average annual exports over the given years?
a) 2
b) 3
c) 4
d) 5

Solution

(1) Option D
total exports of the three Companies X, Y and Z together, during various years are:
In 1993 = Rs. (30 + 80 + 60) crores = Rs. 170 crores.
In 1994 = Rs. (60 + 40 + 90) crores = Rs. 190 crores.
In 1995 = Rs. (40 + 60 + 120) crores = Rs. 220 crores.
In 1996 = Rs. (70 + 60 + 90) crores = Rs. 220 crores.
In 1997 = Rs. (100 + 80 + 60) crores = Rs. 240 crores.
In 1998 = Rs. (50 + 100 + 80) crores = Rs. 230 crores.
In 1999 = Rs. (120 + 140 + 100) crores = Rs. 360 crores.
Clearly, the total exports of the three Companies X, Y and Z together are same during the years 1995 and 1996.

(2) Option D
Analysis of the graph: From the graph it is clear that
The amount of exports of Company X (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 30, 60, 40, 70, 100, 50 and 120 respectively.
The amount of exports of Company Y (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 80, 40, 60, 60, 80, 100 and 140 respectively.
The amount of exports of Company Z (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 60, 90, 120, 90, 60, 80 and 100 respectively.
Average annual exports (in Rs. crore) of Company Y during the given period
=1/7 (80 + 40 + 60 + 60 + 80 + 100 + 140)=1/7 (560)=80
Average annual exports (in Rs. crore) of Company Z during the given period
=1/7 (60 + 90 + 120 + 90 + 60 + 80 + 100)=1/7 (600)
Required percentage=80/(600/7)×100

(3) Option C
The difference between the exports from the Companies X and Y during the various years are:
In 1993 = Rs. (80 - 30) crores = Rs. 50 crores.
In 1994 = Rs. (60 - 40) crores = Rs. 20 crores.
In 1995 = Rs. (60 - 40) crores = Rs. 20 crores.
In 1996 = Rs. (70 - 60) crores = Rs. 10 crores.
In 1997 = Rs. (100 - 80) crores = Rs. 20 crores.
In 1998 = Rs. (100 - 50) crores = Rs. 50 crores.
In 1999 = Rs. (140 - 120) crores = Rs. 20 crores.
Clearly, the difference is minimum in the year 1996.

(4) Option C
Average exports of the three Companies X, Y and Z in 1993
=Rs.1/3 (60+80+30)crores=Rs.170/3
Average exports of the three Companies X, Y and Z in 1998
= Rs.1/3 (50+100+80)crores=Rs.230/3
Difference = 230/3-170/3
= Rs 20 Crores

(5) Option C
Average annual exports of Company Z during the given period
= 1/7 (60 + 90 + 120 + 90 + 60 + 80 + 100) = 1/7 (600)
= 85.71 Crores

DIRECTIONS: Study the following bar charts and answer the questions. (1) The ratio of the maximum exports to the minimum imports was closest to ?
a) 64
b) 69
c) 74
d) 79

(2) How many countries exhibited a trade surplus?
a) 5
b) 4
c) 3
d) 6

(3) The total trade deficit/surplus for all the countries put together was?
a) 11286 surplus
b) 11286 deficit
c) 10286 deficit
d) None of these

(4) The highest trade deficit was shown by which country?
a) C
b) G
c) H
d) L

(5) The ratio of Exports to Imports was highest for which country?
a) A
b) I
c) J
d) K

Solution

(1) Option B
The value of maximum exports = 6045.
The value of minimum imports = 87.
Therefore, the required ratio (6045/87) = 69.48 = 69 (approximately).

(2) Option B
Out of a total of 12 countries, 8 showed a deficit while 4 showed a surplus.

(3) Option B
Sum of exports - Sum of imports = deficit(11286).

(4) Option D
Visually it's clear that L has the highest trade deficit.

(5) Option B
I has a ratio of 4002/2744 = 1.45, which is the highest.

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