Test Index

MAT Exam 2020 Paper

Question Numbers: 156-160

DIRECTIONS (Qs. 156-160): The following bar graph indicates the production of sugar (in lakh tonnes) by three different sugar companies

P, Q

and

R

over the years 2009 to 2013.

Question : 158 of 200

Marks: +1, -0

Solution:

Concept:

Percentage change =

\frac{\text{Current year value} - \text{Previous year value}}{\text{Previous year value}} \times 100

Explanation:

From the graph, production of Company Q in different years is:

2009:

50

lakh tonnes, 2010:

70

lakh tonnes, 2011:

70

lakh tonnes, 2012:

80

lakh tonnes, 2013:

100

lakh tonnes.

For 2010:

\frac{70-50}{50} \times 100 = \frac{20}{50} \times 100 = 40\%

rise.

For 2011:

\frac{70-70}{70} \times 100 = 0\%

For 2012:

\frac{80-70}{70} \times 100 = \frac{10}{70} \times 100 = 14.28\%

rise.

For 2013:

\frac{100-80}{80} \times 100 = \frac{20}{80} \times 100 = 25\%

rise.

The highest percentage change is

40\%

, which occurs in 2010.

Answer:

Option B: 2010.

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