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    The following table shows the sale of different brands of watches by a shop during 2014 — 2018. Year Brand (in thousands) Titan FastrackTimexFossil
    Question

    The following table shows the sale of different brands of watches by a shop during 2014 — 2018.

    Year
    Brand
    (in thousands)
    Titan
    Fastrack
    Timex
    Fossil
    2014
    366
    205
    247
    96
    2015
    398
    188
    285
    108
    2016
    312
    175
    388
    112
    2017
    412
    312
    401
    146
    2018
    288
    202
    255
    126

    Which brand of watches showed the highest percentage change in sales between 2014 and 2018?

    A.

    Fastrack

    B.

    Timex

    C.

    Fossil

    D.

    Titan

    Correct option is C

    Given:

    Sales in 2014:

    Titan: 366  Fastrack: 205

    Timax: 247 Fossil: 96

    Sales in 2018:

    Titan: 288 Fastrack: 202

    Timax: 255 Fossil: 126 

    Formula Used:

    Percentage Change=Value in 2018Value in 2014Value in 2014×100\text{Percentage Change} = \frac{\text{Value in 2018} - \text{Value in 2014}}{\text{Value in 2014}} \times 100 

    Solution:

    1. Titan's sales in 2014 were 366, and in 2018 they were 288. Using the formula:

    Percentage Change for Titan=288366366×100=78366×10021.3%\text{Percentage Change for Titan} = \frac{288 - 366}{366} \times 100 = \frac{-78}{366} \times 100 \approx -21.3\% 

    Titan’s sales decreased by 21.3% from 2014 to 2018.​

    2.Fastrack's sales in 2014 were 205, and in 2018 they were 202. Using the formula:

    Percentage Change for Fastrack=202205205×100=3205×1001.5%\text{Percentage Change for Fastrack} = \frac{202 - 205}{205} \times 100 = \frac{-3}{205} \times 100 \approx -1.5\% 

    Fastrack’s sales decreased by 1.5% from 2014 to 2018.​

    3. Timax’s sales in 2014 were 247, and in 2018 they were 255. Using the formula:

    Percentage Change for Timax=255247247×100=8247×1003.2%\text{Percentage Change for Timax} = \frac{255 - 247}{247} \times 100 = \frac{8}{247} \times 100 \approx 3.2\% 

    Timax’s sales increased by 3.2% from 2014 to 2018.​

    4. Fossil’s sales in 2014 were 96, and in 2018 they were 126. Using the formula:

    Percentage Change for Fossil=1269696×100=3096×10031.3%\text{Percentage Change for Fossil} = \frac{126 - 96}{96} \times 100 = \frac{30}{96} \times 100 \approx 31.3\% 

    Fossil’s sales increased by 31.3% from 2014 to 2018.

    Thus, Fossil showed the highest percentage change in sales, with an increase of 31.3% from 2014 to 2018.​

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