**Directions(01-06):Study the**

**bar graph provided below gives the data of the production of**

paper (in lakh tonnes) by three different companies X,Y,Z over the years. Study

the bar chart and answer the questions.

paper (in lakh tonnes) by three different companies X,Y,Z over the years. Study

the bar chart and answer the questions.

**1.What is the difference between the production of Company Z**

in 1998 and Company Y in 1996?

in 1998 and Company Y in 1996?

A. 10,00,000 tonnes

B. 15,00,000 tonnes

C. 20,00,000 tonnes

D. 25,00,000 tonnes

**2. What is the ratio of the average production of Company X in**

the period 1998-2000 to the average production of company Y in the same period

the period 1998-2000 to the average production of company Y in the same period

A. 23:25

B. 24:27

C. 25:26

D. 27:29

**3. What is the percentage increase in the production of Company**

Y from 1996 to 1999 ?

Y from 1996 to 1999 ?

A. 40%

B. 50%

C. 55%

D. 60%

**4. The average production for five years was maximum for which**

Company ?

Company ?

A. X

B. Y

C. Z

D. X and Z

**5.For which of the following years, the percentage rise/fall in**

production from the previous years in maximum for Company Y ?

production from the previous years in maximum for Company Y ?

A. 2000

B. 1999

C. 1997

D. 1998

**6. In which year the percentage of production of Company Z to**

the production of company Y is maximum ?

the production of company Y is maximum ?

A. 1998

B. 1996

C. 2000

D. 1999

**Directions(7-10):Study the bar graph provided below gives the sales of books**

(in thousand numbers) from six branches of a publishing company during two

consecutive years 200 and 2001. Answer the questions based on the graph

(in thousand numbers) from six branches of a publishing company during two

consecutive years 200 and 2001. Answer the questions based on the graph

**7.Total sales of the branches B1, B3 and B5 together for both**

the years (in thousand numbers) is :

the years (in thousand numbers) is :

A. 550

B. 560

C. 570

D. 580

**8. Total sales of branch B6 for both the years is what percent**

of the total sales of the branch B3 for both the years ?

of the total sales of the branch B3 for both the years ?

A. 73.17%

B. 72.17%

C. 71.17%

D. 70.17%

**9. What is the average sale of all the branches (in thousand**

numbers) for the year 2000 ?

numbers) for the year 2000 ?

A. 68

B. 74

C. 78

D. 80

**10. What percent of the average sales of branches B1, B2 and B3**

in 2001 is the average sales of the branches B1, B3 and B6 in 2000 ?

in 2001 is the average sales of the branches B1, B3 and B6 in 2000 ?

A. 83.5%

B. 90.74%

C. 88.5%

D. 89.5%

ANSWERS AND SOLUTION :

ANSWERS AND SOLUTION :

**1(C)Explanation:**

As per bar chart,

Difference will be

[45-25]*100000 = 20,00,000 tonnes

Please note: we multiplied it by 100000, because graph is given in

“lakh” tonnes

Difference will be

[45-25]*100000 = 20,00,000 tonnes

Please note: we multiplied it by 100000, because graph is given in

“lakh” tonnes

2(

**A)Explanation:**
Average production of

Company X in the period 1998-2000

=[1/3∗(25+50+40)]=(115/3)lakh

tonnes

Company X in the period 1998-2000

=[1/3∗(25+50+40)]=(115/3)lakh

tonnes

Average Production of

company Y in the period 1998-2000

=[1/3∗(35+40+50)]=(125/3)lakh

tones

company Y in the period 1998-2000

=[1/3∗(35+40+50)]=(125/3)lakh

tones

Required Ratio

=(115/3)/(125/3) =115/125=23:25=23:25

=(115/3)/(125/3) =115/125=23:25=23:25

**3(D)Explanation:**

To get the percentage

increase in the something, we have to first get the difference between the

final value and initial value,

increase in the something, we have to first get the difference between the

final value and initial value,

then we can get the calculate that difference is

what percentage of “initial value”

So lets solve it,

Percentage increase in the production of Company Y from 1996 to 1999

=[40−25/25∗100]%=[15/25∗100]%=60%

what percentage of “initial value”

So lets solve it,

Percentage increase in the production of Company Y from 1996 to 1999

=[40−25/25∗100]%=[15/25∗100]%=60%

**4(D)Explanation:**

Average production in

(lakh tonnes) for three companies are:

Company X = (1/5)(30+45+25+50+40)

= 190/5 = 38

Similarly for Y it is 37 and for Z it is 38

So for X and Z it is equal and maximum

(lakh tonnes) for three companies are:

Company X = (1/5)(30+45+25+50+40)

= 190/5 = 38

Similarly for Y it is 37 and for Z it is 38

So for X and Z it is equal and maximum

**5(C)Explanation:**

Percentage change(rise/fall)

in the production of Y in comparison to the previous year, for different years

are:

for 1997 =[(35−25)25∗100]=40%

in the production of Y in comparison to the previous year, for different years

are:

for 1997 =[(35−25)25∗100]=40%

for 1998 =[(35−35)35∗100]=0%

for 1999 =[(40−35)35∗100]=14.29%

for 2000 =[(50−40)40∗100]=25%

So maximum percentage is for year 1997

**6(B)Explanation:**

The percentages of

production of Company Z to the production of Company Y in various years is as:

Note: Small thing which should always be taken care of, is to find percentage

of which company to which company, I mean the order. As in this question

Company Z to the Company Y.

So lets solve it,

for 1996 =(35/25∗100)%=140%

production of Company Z to the production of Company Y in various years is as:

Note: Small thing which should always be taken care of, is to find percentage

of which company to which company, I mean the order. As in this question

Company Z to the Company Y.

So lets solve it,

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%

So for 1996 the

percentage is highest.

percentage is highest.

**7(B)Explanation:**

Total sales of

branches B1, B2 and B5 for both the years (in thousand numbers is)=

(80+105)+(95+110)+(75+95)

= 560

branches B1, B2 and B5 for both the years (in thousand numbers is)=

(80+105)+(95+110)+(75+95)

= 560

**8(A)Explanation:**

Required Percentage =

[(70+80)/(95+110)∗100]%=150/205∗100%=73.17%

[(70+80)/(95+110)∗100]%=150/205∗100%=73.17%

**9(D)Explanation:**

Average sale of all

the branches for the year 2000 is

=1/6(80+75+95+85+75+70)

= 80

the branches for the year 2000 is

=1/6(80+75+95+85+75+70)

= 80

**10(B)Explanation:**

Average sales (in

thousand numbers) of branches B1, B3 and B6 in 2000 are = 1/3∗(80+95+70)=245/3

thousand numbers) of branches B1, B3 and B6 in 2000 are = 1/3∗(80+95+70)=245/3

Average sales (in

thousand numbers) of branches B1, B2 and B3 in 2001 are = 1/3∗(105+65+100)=270/3

thousand numbers) of branches B1, B2 and B3 in 2001 are = 1/3∗(105+65+100)=270/3

Required Percentage =((245/3)/(270/3)∗100)%

=(245/270∗100)%

=90.74%