**SSC CHSL Topic Wise Study Material – Quantitative Aptitude – Line Graph**

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A line graph is simplistic method of representing the data. It is used to depict continuous changes in the quantity presented in the graph. It is easier to observe trends and patterns using line graph compared to other diagrams.

Often the quantity represent on the graph is measured as a function of time. i.e., The variation in the quantity as time changes. In the line graph, the line going up indicates increase in the quantity, the line going down indicates decrease in the quantity and horizontal line indicates no change in the quantity over that period.

**Parts of a Line Graph**

Parts of a line graph are classified as

**Title** The title of the line graph tells us what the graph is about.

**Labels** The horizontal label across the bottom and the vertical label along the side tell us what kinds of facts are listed.

**Scales** The horizontal scale across the bottom and the vertical scale along the side tell us how much or how many kinds of facts are there.

**Points** The points or dots on the graph show us the facts.

**Lines** The lines connecting the points give estimates of the values between the points

**e.g.,** Various parts of a line graph can be shown with the help of a line graph.

**Representation of Data by a Line Graph**

The following data shows the number of questions solved by 320 students at the catalyst career in a test on data interpretation.

This information can be represented by the line graph which is shown below.

**Representation of Data by a Line Graph**

**Reference Corner**

**Directions (Q. NOS. 1 and 2)Study the following graph and answer the questions.SSC (10 + 2) 2013**

**1.If the imports of company X in 2007 were increased by 40%, what would be the ratio of exports to the increased imports?**

(a) 0.25

(b) 0.75

(c) 1.25

(d) 1.75

**2. In 2005, the exports of company X were double that of company Y in that year. If the imports of company X during the year were Rs 180 crores, what was the amount (in crore Rs) of imports of company,Y during the year?**

(a) 315

(b) 282

(c) 212

(d) 210

**Practice Exercise**

**Directions (Q. Nos. 1 -5) Observe the sales curve carefully and answer the following questions.**

**Sales History (in units) of Pears, a Brand of Soap in a Particular Year**

**1. For how many months was the sales value (in units ) at it’s lowest monthly level?**

(a) 1

(b) 3

(c) 4

(d) 6

**2. The ratio of the number of months in which there was a decrease to the number of months in which there was no decrease in the sales value was**

(a) 2:9

(b) 1 : 11

(c) 1 : 5

(d) 3 : 8

**3. The total number of soap units sold in the year was**

(a) 88000

(b) 92000

(c) 95000

(d) 98000

**4. In which month the sale of soap incurred highest percentage increase over the previous month?**

(a) March

(b) April

(c) September

(d) November

**5. How many months showed no change in the sales volume over the previous months?**

(a) Two

(b) Three

(c) Four

(d) Five

**Directions (Q. Nos. 6-10) In a school, the periodical examination are held every Second month. In a session during April 2001 -March 2002, a student of class IX appeared for each of the periodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line graph given below.**

**Marks obtained by student in six periodical exams held in every two months during the year in the session 2010-2011.**

**Maximum Total Marks in Each Periodical Exam = 500**

**6. In which periodical exams did the student obtain the highest percentage increase in marks over the previous periodical exams?**

(a) June, 10

(b) August, 10

(c) October, 10

(d) December, 10

**7. The total marks obtained in February, 11 is what per cent of the total marks obtained in April, 10?**

(a) 110%

(b) 112.5%

(c) 115%

(d) 116.5%

**8. What is the percentage of marks obtained by the student in the periodical exams of August, 10 and October, 10 taken together?**

(a) 73.25%

(b) 75.5%

(c) 77%

(d) 78.75%

**9. What are the average marks obtained by the student in all the periodical exams during the session?**

(a) 373

(b) 379

(c) 381

(d) 385

**10. In which periodical exam, there is a fall in percentage of marks as compared to the previous periodical exam?**

(a) None

(b) June, 10

(c) October, 10

(d) February, 11

**Directions (Q. Nos. 11 -13) Study the graph carefully answer the questions that follow.**

**Profit (in Rs lakh) Made by Three Companies Over the Year Profit = Income – Expenditure**

**11. Profit made by Company A in the year 2007 was what per cent of the total profit made by all the three companies in the year?**

(a) 31.25%

(b) 28.24%

(c) 21.43%

(d) None of these

**12. If the income of Company A in the year 2010 was Rs 1354300 , what was its expenditure in that year?**

(a) Rs 921600

(b) Rs 954300

(c) Rs 648200

(d) None of these

**13. What is the per cent increase in profit made by Company B from 2006 to 2010?**

(a) 25%

(b) 32%

(c) 23%

(d) None of these

**Answers**

**Hints & Solutions**

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