Line Charts Questions & Answers - Page 4

16.

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 are shown by the line graph provided below.

Annual Rate of Interest Offered by Two Finance Companies Over the Years.

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

Correct answer is D

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

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

= Rs. (48/100) x.

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

= Rs. (36/100) x.

Therefore Required ratio = ( (48/100) x )/( (36/100) x ) = 4/3

17.

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 are shown by the line graph provided below.

Annual Rate of Interest Offered by Two Finance Companies Over the Years.

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. 9500

Correct answer is D

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

= Rs. (2% of 4.75) lakhs

= Rs. 0.095 lakhs

= Rs. 9500.

18.

Answer the questions based on the given line graph.

Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years

In which year(s) was the difference between imports and exports of Company B the maximum?

A.

2000

B.

1996

C.

1998 and 2000

D.

Cannot be determined

Correct answer is D

We shall try to find the difference between the imports and exports of Company B for various years one by one:

For 1995: We have

E/I = 0.75

where E = amount of exports, I = amount of imports in 1995.

=> E = 0.75I

Therefore I - E = 0.75 x I = 0.25I.

Thus, the difference between the imports and exports of Company B in 1995 is dependent on the amount of imports of Company B in 1995.

Similarly, the difference for other years can be determined only if the amount of imports for these years is known.

Since the imports or exports for various years are not know, the differences between and exports for various years cannot be determined.

19.

Answer the questions based on the given line graph.

Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years

In 1995, the export of Company A was double that of Company B. If the imports of Company A during the year was Rs. 180 crores, what was the approximate amount of imports of Company B during that year?

A.

Rs. 190 crores

B.

Rs. 210 crores

C.

Rs. 225 crores

D.

Cannot be determined

Correct answer is B

In 1995 for Company A we have:

EA/IA = 1.75 ... (i)

[where EA = amount of exports, IA = amount of imports of Company a in 1995]

In 1995 for Company B we have:

EB/IB = 0.75 ... (ii)

[where EB = amount of exports, IB = amount of imports of Company B in 1995]

Also, we have EA = 2EB ... (iii)

Substituting IA = Rs. 180 crores (given) in (i), we get:

EA = Rs. (180 x 1.75) crores = Rs. 315 crores.

Using EA = Rs. 315 crores in (iii), we get:

EB = EA/2 = Rs. ( 315/2 ) crores. 

Substituting EB = Rs. ( 315/2 ) crores in (ii), we get:

IB = EB/0.75 = Rs. ( 315/(2 x 0.75) ) crores = Rs. 210 crores.

i.e., amount of imports of Company B in 1995 = Rs. 210 crores.

20.

Answer the questions based on the given line graph.

Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years

If the exports of Company A in 1998 were Rs. 237 crores, what was the amount of imports in that year?

A.

Rs. 189.6 crores

B.

Rs. 243 crores

C.

Rs. 281 crores

D.

Rs. 316 crores

Correct answer is D

Let the amount of imports of Company A in 1998 be Rs. x crores.

Then, 237/x = 0.75    =>    x = 237/0.75 = 316

Therefore Amount of imports of Company A in 1998 = Rs. 316 crores.