Question

In the graph given below, the sales of TVs and laptops in the subsequent years from 2014 to 2019 is given (in millions). Which item and for which year does the chart show the lowest percentage decrease in the sales compared to the previous year?

• A. 2018, Laptops
• B. 2015, Laptops
• C. 2016, TV
• D. 2015, TV

Answer 1

The correct option is A 2018, Laptops

We need to find the increase in the percentage of sales of the given items in comparison to the previous years.

For 2015 (TV):

Sales in 2014 = 25 millions

Sales in 2015 = 22.5 millions

So, there is a decrease in sales by
= 25 – 22.5 = 2.5 millions

∴ Percentage decrease = $\frac{\text{decrease}}{\text{Total sale in previous year}}\times 100$

$=\frac{2.5}{25}\times 100=10\%$

For 2016 (TV):

Sales in 2015 = 22.5 millions

Sales in 2016 = 22.5 millions

So, there is decrease of of sales by
= 22.5 – 22.5 = 0

∴ Percentage decrease = $\frac{\text{decrease}}{\text{Total sale in previous year}}\times 100$

$=\frac{0}{22.5}\times 100=0\%$

For 2015 (Laptops):

Previous year sales, i.e., (2014) = 20 millions

Present year sales, i.e., (2015) = 15 millions

So, there is a decrease in sales by

= 20 – 15 = 5 millions

∴ Percentage decrease = $\frac{\text{decrease}}{\text{Total sales in previous year}}\times 100$

$=\frac{5}{20}\times 100=25\%$

For 2018 (Laptops):

Previous year sales, i.e., (2017) = 30 millions

Present year sales, i.e., (2018) = 20 millions

So, there is a decrease in sales by = 30 – 20 = 10 millions

∴ Percentage decrease = $\frac{\text{decrease}}{\text{Total sales in previous year}}\times 100$

$=\frac{10}{30}\times 100=33.33\%$

Therefore, the highest decrease in sales for laptops occurred in 2018.