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 basedon this graph.

**Ans . **

1.5

**Explanation :**required ratio = 5040/3360 = 1.5

**Ans . **

100%

**Explanation :**foreign exchange reserve in 1997-98=5040 million us $

foreign exchange reserves in 1993-94=2520 million us$

therefore increase=(5040-2520)=2520 million us $

therefore percentage increase=((2520/2520)*100)%=100%

**Ans . **

1992-93

**Explanation :**there is an increase in foreign exchange reserves during the years 1992-

93,1994-951996-97,1997-98 as compared to previous year (as shown by bar graph)

the percentage increase in reserves during these years compared to previous year are

(1) for 1992-93 =[(3720-2640)/2640*100]% =40.91%

(2) for 1994-95=[(3360-2520)/2520*100]%=33.33%

(3) for 1996-97=[(4320-3120)/3120*100]%=38.46%

(4) for 1997-98=[(5040-4320)/4320*100]%=16.67%

Clearly, the percentage increase over previous year is highest for 1992-93.

**Ans . **

125%

**Explanation :**Average foreign exchange reserves over the given period

= [_x (2640 + 3720 + 2520 + 3360 + 3120 + 4320 + 5040 + 3120) ] million US $

= 3480 million US $.

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

Required Percentage = x 100 % = 124.14% .. 125%. 3480 .

**Ans . **

3:5

**Explanation :**Average foreign exchange reserves over the given period = 3480 million US $.

The country had reserves above 3480 million US $ during the years 199293,1996-97 and 1997-98 i.e., for 3 years and below 3480 million US $ during the

years 1991-92, 1993-94, 1994-95, 1995-96 and 1998-99 i.e., for 5 years.

Hence, required ratio = 3 : 5.

bar-graph provided on next page gives the sales of books (inthousand numbers) from six branches of a publishing company during two

consecutive years 2000 and 2001. Answer the questions based on this bargraph:

**Ans . **

560

**Explanation :**total sales of branches B1,B3 and B5 for both the years (in thousand

numbers)=(80+105)+(95+110)+(75+95)=560

**Ans . **

73.17%

**Explanation :**required percentage=[(70+80)/(95+110)*100]%=(150/205*100)%=73.17%

**Ans . **

80

**Explanation :**average sales of all the six branches (in thousand numbers ) for the year 2000=1/6*(80+75+95+85+75+70)=80

**Ans . **

7/9

**Explanation :**required ratio=(75+65)/(85+95)=140/180=7/9

**Ans . **

87.5%

**Explanation :**average sales(in thousand numbers of branches B1,B3,and B6 in 2000=

1/3*(80+95+70)=245/3

average sales(in thousand numbers of branches B1,B2,and B3 in

2001=1/3*(105+65+110)=280/3

therefore required percentage=[((245/3)/(280/3))*100]%=(245/280*100)%=87.5%

The bar graph provided below gives the data of the production of paper(in thousand tonnes) by three different companies x,y and z over the years .study

the graph and answer the questions that followproduction of paper(in laks tonnes) by three companys x,yand z over the years

**Ans . **

2,00,00,000 tons

**Explanation :**required difference =[(45-25)*1,00,000]tons=20,00,000 tons.

**Ans . **

Rs. 912

**Explanation :**average production of company x in the period 1998-

2000=[1/3*(25+50+40)]=(115/3) lakh tons average production of company y in the period 1998-2000

s[1/3*(35+40+50)]=(125/3) lakh tonstherefore req ratio=(115/3)/(125/3)=115/125=23/25

**Ans . **

60%c

**Explanation :**percentage increase in the production y from 1996-1999=[(40- 25)/25*100]%=(15/25*100)%=60%

**Ans . **

x and z both

**Explanation :**average production (in lakh tons)in five years for the three company's are:

for company x=[1/5*(30+45+25+50+40)]=190/5=38

for company y=[1/5*(25+35+35+40+50)]=185/5=37

for company z=[1/5*(35+40+45+35+35)]=190/5=38

therefore the average production of maximum for both the company's x and z

**Ans . **

1997

**Explanation :**Percentage change (rise/fall)in the production of Company Y in comparison

to the previous year, for different years are:

For 1997 = [((32-25)/25)*100]% = 40%

For 1998 = [((35-35)/25)*100]% = 0%

For 1999 = [((40-35)/35)*100]% = 14.29%

For 2000 = [((50-40)/40)*100]% = 25%

Hence, the maximum percentage rise/fall in the production of company Y is for 1997.

**Ans . **

1996

**Explanation :**The percentages of production of company z to the production of company

z for various years are:

For 1996 = ((35/25)*100)%=140%; For 1997 = ((40/35)*100)% = 114.29%

For 1998 = ((45/35)*100)%=128.57%; For 1999 = ((35/40)*100)%=87.5%

For 2000 = ((35/50)*100)%=70%

Clearly, this percentage is highest for 1996.

**Ans . **

1996

**Explanation :**The percentage increase in the amount invested in raw-materials as

compared to the previous year, for different years are:

For 1996 = [((225-120)/120)*100]% = 87.5%

For 1997 = [((375-225)/225)*100]% = 66.67%

For 1998 = [((525-330)/330)*100]% = 59.09%

For 2000 there is a decrease.

**Ans . **

1997

**Explanation :**The percentage change in the amount invested in raw-materials and in the

value of sales of finished goods for different years are:

in year 1996 Percentage change in amount invested in raw-materials[((225-120)/120)*100]% = 87.5%

Percentage change in value of sales of finished goods[((300-200)/200)*100]% = 50%

in year 1997 Percentage change in amount invested in raw-materials[((375-225)/225)*100]% = 66.7%

Percentage change in value of sales of finished goods[((500-300)/300)*100]% = 66.67%

in year 1998 Percentage change in amount invested in raw-materials[((525-330)/330)*100]% = -12%

Percentage change in value of sales of finished goods [((400-500)/500)*100]% = -20%

in year 1999 Percentage change in amount invested in raw-materials[((525-330)/330)*100]% = 59.09%

Percentage change in value of sales of finished goods[((600-400)/400)*100]% = 50%

in year 2000 Percentage change in amount invested in raw-materials[((420-525)/525)*100]% = -20%

Percentage change in value of sales of finished goods [((460-600)/600)*100]% = -23.33%

Thus the percentage difference is same during the year 1997

**Ans . **

Rs.77.51akhs

**Explanation :**Required difference = Rs. [(1/6)*(200+300+500+400+600+460)- (1/6)*(120+225+375+330+525+420)] lakhs

= Rs. [(2460/6)-(1995/6)] lakhs = Rs.(410-332.5)lakhs = 77.5 lakhs.

**Ans . **

49%

**Explanation :**Required percentage = [(600/(375+300+525))*100]% = 48.78% =>49%

**Ans . **

1997

**Explanation :**The difference between the amount invested in raw-material and the value

of sales of finished goods for various years are :

For 1995 = Rs.(200-120)lakhs = Rs. 80 lakhs

For 1996 = Rs.(200-225)lakhs = Rs. 75 lakhs

For 1997 = Rs. (500-375)lakhs = Rs. 125 lakhs

For 1998 = Rs. (400-330)lakhs = Rs. 70 lakhs.

For 1999 = Rs. (600-525)lakhs = Rs. 75 lakhs

For 2000 = Rs. (460-420)lakhs = Rs. 40 lakhs.

Clearly, maximum difference was during 1997

Directions(questions 1 to 4) : study the following bar-graph and answer the questions given below.

Production of fertilizers by a Company (in 10000 tonnes) over the Years

**Ans . **

5

**Explanation :**average production of each year=\(\frac{25+40+60+45+65+75+80}{8}\)=48.75=49

**Ans . **

1995 and 1999

**Explanation :**average production of 1996 and 1997=\(\frac{40+60}{2}\)=50

average of 2000 and 2001=\(\frac{50+75}{2}\)=62.5

average of 1999 and 2000=\(\frac{65+50}{2}\)=57.5

average of 1998 and 2000=\(\frac{45+50}{2}\)=47.5

average of 1995 and 1999=\(\frac{25+75}{2}\)=50

**Ans . **

25%

**Explanation :**increase=60-45=15

%increase=(15/60)*100=25%

**Ans . **

2001

**Explanation :**the percentage increase in production as compared to the

previous year is maximum in 2001