Data Interpretation

Data Interpretation 

Directions: ( 1-5): 
Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. 

The rate of interest offered by these companies may differ from year to year depending -
on the variation in the economy of the country and the banks rate of interest.The annual rate of interest offered by the two Companies-
 P and Q over the years is shown by the line graph provided below.

1.    A sum of Rs. 4.75 lakhs was invested in Company Q in 1999 for one year. 
How much more interest would have been earned if the sum was invested in Company P?

A.Rs 19,000

B.Rs.14, 250

C.Rs.11, 750

D.Rs. 9,500

E. None of these

2.    If two different amounts in the ratio 8:9 are invested in Companies P and Q respectively in 2002, 

then the amounts received after one year as interests from Companies P and Q are respectively in the ratio?

A.2:3

B. 3:4

C.6:7

D. 4:3

E. None of these

3.    In 2000, a part of Rs. 30 lakhs was invested in Company P and the rest was invested in Company Q for one year. 
The total interest received was Rs. 2.43 lakhs. What was the amount invested in Company P?

A. Rs.9 lakh

B. Rs.11 lakh

C.Rs. 12 lakh

D.Rs.18 lakh

E. None of these

4.    An investor invested a sum of Rs. 12 lakhs in Company P in 1998. 
The total amount received after one year was re-invested in the same Company for one more year. 

The total appreciation received by the investor on his investment was?

A. Rs. 2, 96,200

B. Rs. 2, 42,200

C. Rs. 2, 25,600

D. Rs. 2, 16,000

E. None of these

5.    An investor invested Rs. 5 lakhs in Company Q in 1996. After one year,
 the entire amount along with the interest was transferred as investment to Company P in 1997 for one year. 
What amount will be received from Company P, by the investor?

A. Rs. 5, 94,550

B. Rs. 5, 80,425

C. Rs. 5, 77,800

D. Rs. 5, 77,500

E. None of these

Direction(6 – 10): The following line graph gives the annual percent profit earned by a Company during the period 1995 - 2000.

Percent Profit Earned by a Company over the Years.

%Profit = [(Income – Expenditure)/ (Expenditure)] x 100

6.    If the expenditures in 1996 and 1999 are equal, then the approximate ratio of the income in 1996 and 1999 respectively is?

A.1:1

B. 2:3

C.13:14

D. 9:10

E. None of these

7.    If the income in 1998 was Rs. 264 crores, what was the expenditure in 1998?

A. Rs. 104 crores

B. Rs. 145 crores

C. Rs. 160 crores

D. Rs. 185 crores

E. None of these

8.    In which year is the expenditure minimum?

A. 2000

B. 1997

C. 1996

D. Cannot be determined

E. None of these

9.    If the profit in 1999 was Rs. 4 crores, what was the profit in 2000?

A. Rs. 4.2 crores

B. Rs. 6.2 crores

C. Rs. 6.8 crores

D. Cannot be determined

E. None of these

10. What is the average profit earned for the given years?

A. 50 2/3

B. 55 5/6

C. 60 1/6

D. 33 5/3

E. None of these

ANSWERS With Solutions: 

1.    Answer: (D)

DIFFERENCE = Rs. [(10% of 4.75) - (8% of 4.75)]

= Rs. (2% of 4.75) lakhs

= Rs. 0.095 lakhs

= Rs. 9500.

2.    Answer: (D)

Let the amounts invested in 2002 in Companies P and Q be Rs. 8x and Rs. 9xrespectively.

Then, interest received after one year from Company P = Rs. (6% of 8x)

= Rs. (48x/100)

and interest received after one year from Company Q  = Rs. (4% of 9x)

= Rs. (36x/100)

Required ratio = 4/3

3.    Answer: (D)

4.    Answer: (C)

Amount received from Company P after one year (i.e., in 199) on investing Rs. 12 lakhs in it

= Rs. [12 + (8% of 12)] lakhs

= Rs. 12.96 lakhs.

Appreciation received on investment during the period of two years

= Rs. (14.256 - 12) lakhs

= Rs. 2.256 lakhs = Rs. 2, 25,600

5.    Answer: (B)

Amount received from Company Q after one year on investment of Rs. 5 lakhs in the year

1996

= Rs. [5 + (6.5% of 5)] lakhs

= Rs. 5.325 lakhs.

Amount received from Company P after one year on investment of Rs. 5.325 lakhs in the year 1997

= Rs. [5.325 + (9% of 5.325)] lakhs

= Rs. 5.80425 lakhs

= Rs. 5, 80, 425

6.    Answer: (D)

Let the expenditure in 1996 = x.

Also, let the incomes in 1996 and 1999 be I₁ and I₂ respectively.

Then, for the year 1996, we have:

55 =( I₁ – x)/(x)*100 è I₁= 155x/100 --- (1)

70 = ( I₂ – x )/(x) * 100 è I₂ = 170x/100 ----- (2)

From (i) and (ii), we get:

I₁ /II₂ = 155/170  @ 0.91/1 @ 9/10

7.    Answer: (C)

Let the expenditure is 1998 be Rs. x crores.

Then, [65 =( 264 –x)/ x] * 100

x = 160

Expenditure in 1998 = Rs. 160 crores

8.    Answer: (D)

The line-graph gives the comparison of percent profit for different years.

But the comparison of the expenditures is not possible without more data.

Therefore, the year with minimum expenditure cannot be determined.

9.    Answer: (D)

From the line-graph we obtain information about the percentage profit only. 

To find the profit in 2000 we must have the data for the income or expenditure in 2000.

Therefore the profit for 2000 cannot be determined.

10.  Answer: (B)

Average percent profit earned for the given years

= (1/6) x [40 + 55 + 45 + 65 + 70 + 60] = 55  5/6 

Data Interpretation

Data Interpretation Directions: (1-5 ): The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

 Percentage of Candidates Qualified to Appeared in an Examination over the Years

1.    

The difference between the percentages of candidates qualified to appear was maximum in which of the following pairs of years?

A. 1994 and 1995

B. 1997 and 1998

C. 1998 and 1999

D. 1999 and 2000

E. None of these

2.    In which pair of years was the number of candidates qualified the same?

A. 1995 and 1997

B. 1995 and 2000

C. 1998 and 1999

D. Data inadequate

E. None of these

3.     If the number of candidates qualified in 1998 was 21200, what was the number of candidates appeared in 1998?

A. 32, 000

B. 28, 500

C. 26, 500

D. 25, 000

E. None of these

4.     If the total number of candidates appeared in 1996 and 1997 together was 47400, then the total number of candidates qualified in these two years together was?

A. 34, 700

B. 32, 100

C. 31, 500

D. Data inadequate

E. None of these

5.    The total number of candidates qualified in 1999 and 2000 together was 33500 and the number of candidates appeared in 1999 was 26500. What was the number of candidates in 2000?

A. 24, 500

B. 22, 000

C. 20, 500

D. 19, 000

E. None of these

Directions: ( 6 – 10): The following pie-charts show the distribution of students of graduate and post-graduate levels in seven different institutes in a town.

Distribution of students at graduate and post-graduate levels in seven institutes

6.    

What is the total number of graduate and post-graduate level students is institute R?

A. 8320

B. 7916

C. 9116

D. 8099

E. None of these

7.    What is the ratio between the number of students studying at post-graduate and graduate levels respectively from institute S?

A. 14:19

B. 19:21

C. 17:21

D. 19:14

E. None of these

8.    How many students of institutes of M and S are studying at graduate level?

A. 7516

B. 8463

C. 9127

D. 9404

E. None of these

9.    What is the ratio between the number of students studying at post-graduate level from institutes S and the number of students studying at graduate level from institute Q?

A. 13:19

B. 21:13

C. 13:8

D. 19:13

E. None of these

10.  Total number of students studying at post-graduate level from institutes N and P is

A. 5601

B. 5944

C. 6669

D. 8372

E. None of these

ANSWERS:

1.    Answer (B): The differences between the percentages of candidates qualified to appeared for the give pairs of years are:

For 1994 and 1995 = 50 - 30 = 20.

For 1998 and 1999 = 80 - 80 = 0.

For 1994 and 1997 = 50 - 30 = 20.

For 1997 and 1998 = 80 - 50 = 30.

For 1999 and 2000 = 80 - 60 = 20.

Thus, the maximum difference is between the years 1997 and 1998.

2.    Answer: (D)

The graph gives the data for the percentage of candidates qualified to appeared and unless the absolute values of number of candidates qualified -

or candidates appeared is know we cannot compare the absolute values for any two years. Hence, the data is inadequate to solve this question.

3.    Answer: (C)

The number of candidates appeared in 1998 be x.

Then, 80% of x = 21200

è x = (21200 *100)/(80) = 26500( Required number)

4.    .Answer: (D)

The total number of candidates qualified in 1996 and 1997 together, 

cannot be determined until we know at least, the number of candidates appeared in any one of the two years 1996 or 1997 -

or the percentage of candidates qualified to appeared in 1996 and 1997 together. Hence, the data is inadequate.

5.     Answer: (C)

The number of candidates qualified in 1999 = (80% of 26500) = 21200.

Number of candidates qualified in 2000 = ( 33500 - 21200 ) = 12300.

Let the number of candidates appeared in 2000 be x.

Then, 60% of x = 12300

x = ( 12300 x 100)/(60) = 20500.

6.    Answer  (D)

Required number = (17% of 27300) + (14% of 24700)

= 4641 + 3458

= 8099

7.    Answer: (D)

Required ratio =(21% of 24700)/ (14% of 27300)

=(21 x 24700)/(14 x 27300) = 19/14

8.    Answer: (B)

Students of institute M at graduate level= 17% of 27300 = 4641.

Students of institute S at graduate level = 14% of 27300 = 3822.

Total number of students at graduate in institutes M and S = (4641 + 3822)

= 8463.

9.    Answer: (D)

Required ratio = (21% of 24700)/ (13% of 27300)

= 19/13

10.  Answer: (C)

Required number = (15% of 24700) + (12% of 24700)

= 3705 + 2964

= 6669.

Data Interpretation

Data Interpretation 

 Directions: (1 – 5):  The bar graph given below shows the foreign exchange reserves of a country (in million US $) from 1991-92 to 1998-99. 

Answer the questions based on graph.

1.    The foreign exchange reserves in 1997-98 was how many times that in 1994-95

(1) 1.5                    (2) 2

(3) 3.5                    (4) 2.6

(5) None of these

2.    What was the percentage increase in the foreign exchange reserves in 1997-98 over 1993-94 ?

(1) 80%                 (2) 90%

(3) 100%               (4) 110%

(5) None of these

3.    For which year, the percent increase of foreign exchange reserves over the previous year is the highest ?

(1) 1994-95

(2) 1995-96

(3) 1998 – 99

(4) 1992-93

(5) None of these

4.    The foreign exchange reserves in 1996-97 were approximately what percent of the average foreign exchange reserves over the period under review ?

(1) 80%

(2) 100%

(3)  125%

(4)  130%

(5) None of these

5.    The ratio of the number of years, in which the foreign exchange reserves are above the average reserves, to those in which the reserves are below the average is:

(1) 3:5

(2) 2 :3

(3) 4 : 7

(4) 3: 7

(5) None of these

Directions ( 6 – 10) : The following pie-chart shows the sources of funds (in crores) to be collected by a company. 

Study the pie-chart and answers the question that follow.

6.   

 If company could receive a total of Rs. 9695 crores as External Assistance, by what percent (approximately) 

should it increase the Market Borrowing to arrange for the shortage of funds?

(1) 4 %                 

(2) 6%

(3) 8%                  

(4) 10%

(5) None of these

7.    Near about 20% of the funds are to be arranged through ?

(1) SPVS              

(2) Annuity

(3) External Assistance

(4) Market borrowing

(5) None of these

8.    The central angle corresponding to Market Borrowing is ?

(1) 187.2 degree

(2) 183.2  degree

(3) 181.2 degree

(4) 180.2 degree

(5) None of these

9.    If the toll is to be collected through an outsourced agency by allowing a maximum 10% commission, 

how much amount should be permitted to be collected by the outsourced agency, 

so that the project is supported with Rs. 4,910 crores?

(1) Rs. 5401 crore

(2) Rs. 5301 crore

(3) Rs. 5201 crore

(4) Rs. 5101 crore

(5) None of these

10.  The approximate ratio of the funds to be arranged through Toll and that through Market Borrowing is ?

(1) 1 : 6                 

(2) 2 : 5

(3) 3 : 7                 

(4) 6 : 7

(5) None of these

ANSWERS WITH Explanation:

1.    Explanation

Required Ratio 

= 5040/3360 = 1.5

2.    Explanation:

Foreign exchange reserve in 1997-98 = 5040 million US $

Foreign exchange reserve in 1993-94 = 2520 million US $

Increase = 5040 - 2520 = 2520 million US $

Percentage Increase =[(2520)/(2520)] X 100  = 100%

3.    Explanation Before solving this, put a clever eye on the chart, just calculate for those years which are actually having increase if we compare to previous year.

These years are 1992-93, 1994-95, 1996-97, 1997-98

So lets calculate the percentage increase of these years compared to previous years:

i. For year 1992-93 =[(3720−2640)/(2640)]∗100 = 40.91%

ii. For year 1994-95 =[(3360−25200)]/(2520)∗100 = 33.33%

iii. For year 1996-97 =[(4320−3120)/(3120)]∗100 =38.46 %

Iv. For year 1997-98 =([5040−4320)/(4320)]∗100=16.67%

4.    Explanation

First get the average of these 8 years.
which is, 1/8(2640+3720+2520+3360+3120+4320+5040+3120)
= 3480 million US $

Foreign exchange reserves in 1996-97 = 4320 million US $

Required Percentage = [(4320/3480)]∗100)%=125%

5.    Explanation

Average foreign exchange reserves over the given period is = 3480 million US $

The country had reserves above 3480 million US $ during the years 1992-93, 1996-97 and 1997-98.

 So three years’ was above the average and for rest of five years it was below the average
So required ratio is
3:5

6.    Explanation:

New funds = 11486 - 9695
= Rs. 1791 crores
Increase in requirement of market borrowing is 1791 crore

Now, 1791 crore is what percent of Market Borrowing

=[(1791)/(29952)]∗100%=5.98%=6% (approx)

7.    Explanation:

Total funds are = 29952+11486+5252+4910+6000
= 57600 crore
Now 20% of 57600 = 20/100 * 576000
= 11520 crore
Which is approximately equal to External Assistance

8.    Explanation:

Central angle corresponding to Market Borrowing

[(29952/57600)]∗360=187.2 degree

9.    Amount required = (Funds required from toll) + (10% of these funds)
= 4910 + 10% of (4910)
= 4910 + (10/100)*4910
= 4910 + 491
= 5401 crore 

10.  Explanation:

Required Ratio=4910/29952=1/6.1=1:6