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The table given below shows the production of different types of household items (in lakhs) by a certain company over the years. Study the table and t
Question

The table given below shows the production of different types of household items (in lakhs) by a certain company over the years. Study the table and the answer the question. 

Items =>

Years ⇓

Production of different household items

P

Q

R

S

T

U

2016

70

80

75

90

50

80

2017

72

90

70

100

52

85

2018

75

95

80

100

58

90

2019

80

100

90

110

60

110

2020

85

90

95

118

64

120

2021

98

110

100

120

70

148

Which of the following type of household item was recorded as having the highest annual growth rate over one year in terms of production and in which year?

A.

Items S in 2017

B.

Items Q in 2018

C.

Items P in 2017

D.

Items R in 2018

Correct option is D

Formula Used:
Growth Rate % = Production in Current Year - Production in Previous YearProduction in Previous Year×100\frac{\text{Production in Current Year - Production in Previous Year}}{\text{Production in Previous Year}} \times 100  
Solution: 
(a). Item S in 2017:
Growth Rate (%) = 1009090×100=1090×100\frac{100 - 90}{90} \times 100 = \frac{10}{90} \times 100​ = 11.11%
(b). Item Q in 2018:
Growth Rate (%) = 959090×100=590×100\frac{95 - 90}{90} \times 100 = \frac{5}{90} \times 100 = 5.56%
(c). Item P in 2017:
Growth Rate (%) = 727070×100=270×100\frac{72 - 70}{70} \times 100 = \frac{2}{70} \times 100 = 2.86%
(d). Item R in 2018:
Growth Rate (%) = 807070×100=1070×100\frac{80 - 70}{70} \times 100 = \frac{10}{70} \times 100​ = 14.28% 
Thus, Option (d) Item R in 2018 shows the maximum growth in production.

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