## Data Handling - Reading Graphs

Worksheet

Directions (Q. 1-5): Following bar chart shows the ratio of expenditure to income of three companies A, B and C during the period 2007—2012.

Q1: In which of the following years is the percentage loss / profit of Company C the maximum?

(a) 2007
(b) 2008
(c) 2009
(d) 2010
(e) 2011

Q2: If the expenditure of Company A in 2007 and 2008 together is Rs 60 lakhs, then what is its income in 2007 and 2008 together?

(a) Rs 120 lakhs
(b) Rs 150 lakhs
(c) Rs 66.66 lakhs
(d) Data inadequate
(e) None of these

Q3: If the expenditure of Company B in 2007 and 2011 together is Rs 60 lakhs then what is its income in 2007 and 2011 together?

(a) Rs. 66.66 lakhs
(b) Rs. 75 lakhs
(c) Rs. 48 lakhs
(d) Rs. 96 lakhs
(e) Data inadequate

Q4: In which of the years does Company C gain 100% profit?

(a) 2007
(b) 2008
(c) 2009
(d) 2010
(e) None of these

Q5: What is the percentage decrease in the percentage profit of Company C from 2008 to 2009?

(a) 75%
(b) 300%
(c) 62.5%
(d) 160%
(e) None of these

Answers:
1: (d) 2010
2: (d) Data inadequate
3: (e) Data inadequate
4: (b) 2008
5: (a) 75%

Q6: The pie chart given below shows the result of a survey carried out to find the modes of travel used by the children to go to school. Study the pie chart and answer the questions that follow.

(a) What is the most common mode of transport?
(b) What fraction of children travel by car?
(c) If 18 children travel by car, how many children took part in the survey?
(d) By which two modes of transport are equal number of children travelling?

Answer:

(a) The central angle is maximum for bus i.e. 120°, hence bus is the most common mode of transport.

(b) Fraction of children travelled by car = 90°/360° = ¼

(c) We know that, fraction of children travel by car = ¼
Hence, total number of children travelled by car = ¼ x Total number of children
=> 18 = ¼ x Total number of children
=> Total number of children = 18 x 4 = 72

(d) The central angle made up the sectors representing cycle and walk are same. Hence, the cycle and walk are two modes of transport, by which equal number of children are travelling.  