Line Charts Questions & Answers - Page 3

11.

Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Initial Strength of school in 1995 = 3000.

For which year is the percentage rise/fall in the number of students who left the school compared to the previous year the maximum?

A.

1997

B.

1998

C.

1999

D.

2000

Correct answer is A

The percentage rise/fall in the number of students who left the school (compared to the previous year) during various years are:

For 1997 = [ (450 - 250)/250 x 100 ] % = 80% (rise).

For 1998 = [ (450 - 400)/450 x 100 ] % = 11.11% (fall).

For 1999 = [ (400 - 350)/400 x 100 ] % = 12.5% (fall).

For 2000 = [ (450 - 350)/350 x 100 ] % = 28.57% (rise).

For 2001 = [ (450 - 450)/450 x 100 ] % = 0%.

Clearly, the maximum percentage rise/fall is for 1997.

12.

Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Initial Strength of school in 1995 = 3000.

The number of students studying in the school during 1999 was?

A.

2950

B.

3000

C.

3100

D.

3150

Correct answer is D

As calculated above, the number of students studying in the school during 1999 = 3150.

13.

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.

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. 594,550

B.

Rs. 580,425

C.

Rs. 577,800

D.

Rs. 577,500

Correct answer is 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.

14.

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.

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. 296,200

B.

Rs. 242,200

C.

Rs. 225,600

D.

Rs. 216,000

Correct answer is 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.

Amount received from Company P after one year on investing Rs. 12.96 lakhs in the year 1999

= Rs. [12.96 + (10% of 12.96)] lakhs

= Rs. 14.256.

Appreciation received on investment during the period of two years

= Rs. (14.256 - 12) lakhs

= Rs. 2.256 lakhs

= Rs. 2,25,600.

15.

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.

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 lakhs

B.

Rs. 11 lakhs

C.

Rs. 12 lakhs

D.

Rs. 18 lakhs

Correct answer is D

Let Rs. x lakhs be invested in Company P in 2000, the amount invested in Company Q in 2000 = Rs. (30 - x) lakhs.

Total interest received from the two Companies after 1 year

= Rs. [(7.5% of x) + {9% of (30 - x)}] lakhs

= Rs. [ 2.7 - ( 1.5x/100 ) ] lakhs.

Therefore [ 2.7 - ( 1.5x/100 ) ] = 2.43 => x = 18.