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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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