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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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