The following line graph shows the number of vacuum cleaners sold by a company over 6 years. Based on the graph answer the question given below.

Which of the given years recorded the highest percentage difference (increase or decrease) in sales of vacuum cleaners?

Correct option is C

Given:

The number of vacuum cleaners sold (in thousands) over six years:

Concept Used:

The percentage difference in sales from one year to the next is calculated using:

​$$\text{Percentage Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100$$​​

Solution:

Option (A) 2013-2017:

​$$\left( \frac{30 -50}{50} \right) \times 100 = -40\%$$​​

Option (B) 2016-2017:

​​​$$\left( \frac{30 - 55}{55} \right) \times 100 = -45.45\%$$​​

Option (C) 2014-2016:

​$$\left( \frac{55 - 35}{35} \right) \times 100 = 57.14\%$$​​​

Option (D) 2014-2015:

​$$\left( \frac{45 -35}{35} \right) \times 100 =$$ 28.57 %​

Option (C) is right.