Quant (Concepts): Line Graphs

Quant (Concepts): Line Graphs

Problems based on line graphs appear frequently in competitive exams having data interpretation as a component. Given below are some of the popular types of questions asked from line graphs:

DIRECTIONS: Study the following graph carefully and answer the questions given below.

Example 1: In which of the following years was the percentage increase in income over the previous year the maximum?

1. 1989      2. 1990      3. 1991      4. 1992

Sol:  Percentage increase= 100 × Increase/Previous year income. Option 3 is eliminated because there’s a decrease in income in 1991.

In 1989, percentage increase = 100 × 20/30 = 66.67%.
In 1990, percentage increase = 100 × 15/50 = 30%.
In 1992, percentage increase = 100 × 17.5/57.5 = 30.43%
(All the data is in Rs ‘00 cr.)

OR

For maximum % change, numerator should be the greatest and the denominator should be smallest.The numerator for 1989 is the greatest, while the denominator for the same year is the lowest as compared to corresponding figures for 1990 and 1992. So,you need not to find the exact percent increase of all the options given.

Example 2: What was the average income of the company over the years (approximately)?

1. 4500 crores           2. 500 crores    
3. 5500 crores           4. 550 crores

Sol: Average in Rs ’00 cr. = (30 + 50 +65 + 55 + 75 + 55)/6 = 55 ⇒Average= Rs 5500 cr.

Example 3: What is the ratio of income to expenditure in the year 1990?

1. 1.2      2. 1.3      3. 1.1      4. 1.4

Sol: The income in the year 1990 is Rs. 6500 cr. and the expenditure is Rs. 5000 cr. Thus, the ratio in the year 1990 will be 6500/5000 = 1.3.

Example 4: The total expenditure in 1988 and 1989 together was equal to the income in which of the following years?

1. 1990      2. 1991      3. 1993      4. None of these

Sol: The total expenditure in 1988 and 1989 together = Rs. 6000cr, which does not match with any other year’s expenditure. So, the correct answer will be none of these.