Line Charts - Syllabus, Shortcut Tricks and Solutions
Line charts are seen as simplified forms of the normal bar chart.
Example: The bar chart given below represents the highest values of the sensex in the given years.
If we convert the same data into a line chart, it will look like this :
Sometimes in case of line charts, the lines are not given and only the dots are indicated in the graph. Let us see an example with the same data :
Generally Line Charts are used in case time is one of the variables in the data. The â€˜timeâ€™ variable can be in the form of hour, day, months years or anything that represents chronological order of events.
It is easier t calculate the percentage changes in a line chart and thereby understand the trends of the data in a better way.
A line chart becomes very handy in case of data with two different scales.
Example: The line chart given below represents the production of soaps by a company over a period of five years and the inflation for the same period.
Two or more than two variable can be represented on a line chart very easily. Besides, we can see the movement of data very easily in case of a line chart.
Example: Below given line chart represents the movements of the highest value of two indices over a given period:
The same data can be represented using dots only also :
Types of Line Charts
Broadly, line charts are of three types :
Normal Line Chart
This is a simple line chart representing two or more than two variables.
In the chart given below, The total number of enrollments for four different years of for four coaching institutes are represented :
Stacked Line Chart
In a stacked line chart, the values keep on getting added to obtain the next value.
Example: Here, the bottom line (of LC) gets added with the values of SMI to represent the value of SMI. Now this represented value of SMI is added to the actual value of EMIT to give the value of EMIT on the chart. And finally, the same is done with the value of FC.
Hence, in a stacked line chart, to obtain the values of different constituents/segments, either stat with the top line or the bottom line and then keep on subtracting the values to obtain the next value.
Time Speed Distance Line Chart
This line chart is used in tables of data collected from experiments on physical progresses.
Reader Diagram
This diagram every value is represented with respect to a central point. All the changes in the values are expressed in the form of distance from this center point.
Example: The radar diagram given below represents the highest value of two indices over a given period.
It can be seen that the center value = 8000. With every passing circle the value increases by 2000. Since here are seven years, the diagram takes the shape of a heptagon.
Had there been only six years, it would have taken the shape of a hexagon, as shown below :
Similarly, had there been only four years, the diagram would have been in the shape of a square.
Area Diagram
In case of an area diagram, the values are represented in terms of areas.
Data set given is :
1st Quarter
2nd Quarter
3rd Quarter
4th Quarter
East
20
27
90
20
West
30
38
34
30
North
45
46
45
42
The stacked are diagram corresponding to the table given above will be like this :
Line Charts Problems and Solutions
Directions for Questions 1 to 5: Refer to the following line chart and solve the questions based on it.
The line chart given below represents the salary and expenditure (in Rs) of Guru Gulab Khatri for the given period.
It is given that the salary is greater than the expenditure at least for four years. All the values are multiples of 5.
Question 1. By what percentage has the salary of Guru Gulab Khatri increased in 2004 over 2012? Answer : 150%
Question 2. By what percentage has the expenditure of Guru Gulab Khatri increased in 2004 over 2003? Answer : 66.66%
Question 3. For how many years the salary is more than expenditure? Answer : 6.
Question 4. Which year is the percentage increase in the salary of Guru Gulab Khatri maximum? Answer : 2004.
Question 5. A year is said to be comfortable, if Guru Gulab Khatri is able to save atleast 30% of his salary. How many years are comfortable during the given period? Answer : 3.
Line Chart Question from Previous Year Exams
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This test will cover Â Line Graphs Syllabus of Bank Clerk Exam.
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Review
Question 1 of 28
1. Question
1 points
Directions (Q. Nos. 1 to 5) Study the following graph Â to answere the giuen questions.
For company B, what is the Â per cent decrease, in production from 2000 to 2001?
Correct
Incorrect
Question 2 of 28
2. Question
1 points
What is the average of the per cent rise over the givenÂ years?
Correct
Incorrect
Required average
= Â [40+50+40+120+100+120+130+140]
=Â Â
Question 3 of 28
3. Question
1 points
(Q. Nos. 8 to 10) Two different financeÂ companies declare fixed annual rate of interest on theÂ amounts invested with them by investors. The rate ofÂ interest offered by these companies may differ frorn yearÂ to year depending on the variation in the economy ofÂ the country and the bank's rate of interest. TheÂ annual rate of interest offered by the two companies PÂ and, Q ouer the yea.rs are shown by the line-graphÂ provided, below. Answer the questions based on thisÂ graph.
If two different amounts in the ratio 8 : 9 are invested inÂ companies P and Q respectively in 2002, then theÂ amounts received after.one year as interests fromÂ companies P and Q are respectively in the ratio
Correct
Let the amounts invested in2OO2 in companies P and QÂ be Rs 8a and Rs 91 respectively. Then,Â Interest received after one year from company P
Rs(6% of Â 8a)
Interest received after one year from company Q
Rs (4% of 9a)=
Hence, required ratio Â =
Incorrect
Let the amounts invested in2OO2 in companies P and QÂ be Rs 8a and Rs 91 respectively. Then,Â Interest received after one year from company P
Rs(6% of Â 8a)
Interest received after one year from company Q
Rs (4% of 9a)=
Hence, required ratio Â =
Question 4 of 28
4. Question
1 points
In 2007, the production of company A is approximatelyÂ .what per cent of production in 2006?
Correct
Incorrect
Question 5 of 28
5. Question
1 points
For company'B,Â in which year is the percentageÂ in the production from the previousÂ increase/decreaseÂ year the highest?
Correct
Incorrect
It is clear from the graph.
Question 6 of 28
6. Question
1 points
What is the difference in the total production of the twoÂ companies for the given year?
Correct
Incorrect
Total production of company=
B=(4+3+8+8+8+7+8+12) lac unit
= 5800000 unit
Total production of company
A=(1+1+1+2+3+5+7+11) lac unit
=2700000 unit
Question 7 of 28
7. Question
1 points
Which of the following is the closest average productionÂ in lac units of company A for the given year?
Correct
Incorrect
Required average production of company A=
=3.9 lac unit.
Question 8 of 28
8. Question
1 points
(Q. Nos. 6 to 7) Study the following graphÂ carefully to answer these questions.
If the quantity sold ofitem D increased by 50% and the price reduced by 10%, what was the total value of the quantity sold for item D?
Correct
Incorrect
Hence, total cost/value == Rs 67500
Question 9 of 28
9. Question
1 points
Approximately, what is the average price of items A, B and C?
Correct
Incorrect
Required average price
Question 10 of 28
10. Question
1 points
In 2000, a part of Rs 30 lac was invested in company P andÂ the rest was invested in company Q for one year. TheÂ total interest received was Â Rs 2.43 lac. What was theÂ amount invested in company P?
Correct
Incorrect
Let Rs a lac be invested in comapny P in 2000, thenÂ amount invested in comapny Q in 2000 = Rs (30-a)lac
Total interest received from the two companies afterÂ 1 year = Rs [7.5% of a+9% of (30-a)]lac=2.43
270-243=1.5a
a=18
Hence, amsunt invested in companyP = Rs 18 lac
Question 11 of 28
11. Question
1 points
A sum of Â Rs 4.75 lac was invested in company Q in 1999 for one year. How much more interestÂ would have been earned if the sum was invested inÂ company P?
Correct
Incorrect
Required difference =Rs[10% of Â 4.75-8% of 4.75]lac
=Rs[2% of 4.75]lac
=Rs 0.095lac= Rs 9500
Question 12 of 28
12. Question
1 points
(Q. Nos. 18 to 20) Answer the questions onÂ the basis of the data presented in the figure below. Mid-Year Prices of Essential Commodities
During 1996-2000, the number of commodities thatÂ exhibited a net overall increase and net overall decrease,Â respectively, were
Correct
Incorrect
The commodities that exhibited net overall increaseÂ were onion, rice egg and chillies. Hence, theÂ commodities that exhibited net overall decrease wereÂ dal and edible oil.
Question 13 of 28
13. Question
1 points
The number of commodities that experienced a priceÂ decline for two or more consecutive years is
Correct
Incorrect
The commodities that experienced a price decline forÂ and two or more consecutive years were rice, eggs,Â onion, dal and chillies.
Question 14 of 28
14. Question
1 points
For which commodities did a price increase immediatelyfollow a price decline only once in this period?
Correct
Incorrect
Given condition can be followed by only commodityÂ onion.
Question 15 of 28
15. Question
1 points
(Q. Nos. 14 to 16) Study the followingÂ graph to answer the given questions.
Per cent Rise ln Production Over the Years
For how many years is the per cent rise more than 100?
Correct
Incorrect
The relevant years are 2002,2004,2005 and 2006.
Question 16 of 28
16. Question
1 points
For which of the given years is the per cent rise (from theÂ previous year) in the per cent rise the least? (years 2001Â and 2003 not to be considered)
Correct
Incorrect
2000 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 25%
2004 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =20%
2005 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 8.3%
2006 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 7.7%
Question 17 of 28
17. Question
1 points
(Q. Nos. 17 to 20) Study the followingÂ graph and answer the questions based on it.
Average annual exports during the given period forÂ company Y is approximately what per cent of theÂ average annual exports for company Z?
Correct
Incorrect
Average annual exports of company y% during givenÂ time
[80+40+60+60+80+100+140]
560=80 crore
Average annual exports of company z during given time
[60+90+120+90+60+80+100]= crore
Hence, required %= %=93.33%
Question 18 of 28
18. Question
1 points
In how many of the given years, were the exports fromÂ company Z more than the average annual exports overÂ the given years?
Correct
Incorrect
Average annual exports of company during given time
= crore= Rs 85.71 crore
From the analysis we have company z haveÂ the average annual exports of company zÂ years 1994, 1995, 1996 and 1999.
Question 19 of 28
19. Question
1 points
What was the difference between the average exports ofÂ the three companies in 1993 and the average exportsÂ in 1998?
Correct
Incorrect
Required difference
crore
=
Question 20 of 28
20. Question
1 points
In which year was the difference between the exportsÂ from companies X and Y the minimum?
Correct
Incorrect
1993 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 80-30=50
1994 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 60-40=20
1995 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 60-40=20
1996 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 70-60=10
1997 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 100-80=20
1998 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 100-50=50
1999 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 140-120=20
Question 21 of 28
21. Question
1 points
For how many years is the per cent rise lower than theÂ average of the per cent rise over the given years?
Correct
Incorrect
The relevant years are 1999,2000 and 2001.
Question 22 of 28
22. Question
1 points
If the production in 1998 was 10000 units how much isÂ the production in 2002?
Correct
Incorrect
Required answere=
= 64680
Question 23 of 28
23. Question
1 points
What was the increase/decrease in strength of the schoolÂ from 2001 to 2002?
Correct
Incorrect
No. of students who left in the beginning of 2002 = 400
No. of students who joined in the beginning of 2002 = 500
There was net increase of100(500 -400) students in the
strength of the school from 2001 to 2002
Question 24 of 28
24. Question
1 points
For which of the following years, the percentage rise/fallÂ in number of students left from the previous years is theÂ highest?
Correct
Incorrect
Question 25 of 28
25. Question
1 points
How many student were there in the school during theÂ year 2003?
Correct
Incorrect
Total no. of students who left till 2003
= 250 + 350 + 400 + 300 = 1300
Students who joined till 2003
= 300 + 250 + 500 + 450
. = 1500
Net increase in the strength ofthe schdol
= 1500 - 1300 = 200
Initial strength ofthe school in 1999 = 1500
Strength of the school during
2003= 1500+200=1700
Question 26 of 28
26. Question
1 points
During which of the following pairs of years, theÂ strength of school is equal?
Correct
Incorrect
Year Â Â Â Â Â Â Â Â Â Â Â Â Â Â Strength
1999 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1500
2000 Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1500+300-250=1550
2001 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1550+250-350=1450
2002 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1450+500-400=1550
2003 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1550+450-300=1700
2004 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1700+400-500=1600
2005 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1600+550-500=1650
Question 27 of 28
27. Question
1 points
During which of the following pairs of years, theÂ strength of school is equal?
Correct
Incorrect
1999 Â Â Â Â Â Â Â Â Â Â Â 1500
2000 Â Â Â Â Â Â Â Â Â Â Â 1500 + 300 -250 = 1550
2001 Â Â Â Â Â Â Â Â Â Â Â 1550 + 250 -350 = 1450
2002 Â Â Â Â Â Â Â Â Â Â Â 1450 + 500 -400 = 1550
2003 Â Â Â Â Â Â Â Â Â Â Â 1550+45d-300 = 1700
2004 Â Â Â Â Â Â Â Â Â Â Â 1700 + 400 -500 = 1600
2005 Â Â Â Â Â Â Â Â Â Â Â 1600 + 550 -500 = 1650
Hence, strength of the school was equal in 2000 and 2002.
Question 28 of 28
28. Question
1 points
The number of students in 2003 is approximately whatÂ per cent of the number of students in 2001?
Correct
Incorrect
Using previous solution we have the no. of students inÂ 2003 = 1700 and in2001 = 1450
Hence. required % = =117%
Line Chart Shortcut Tricks and Solutions Video
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