The given bar graph shows the data of the production of milk chocolates (in thousand tonnes) by three Companies X, Y and Z over the years.

For which of the following years is the percentage rise/fall in the production with respect to its previous year the maximum for Company Y?

Correct option is C

Given:

The bar graph shows the production (in thousand tonnes) of milk chocolates by three companies (X, Y, and Z) from 2012 to 2016.

The quantities for Company Y are as follows:

2012: 30

2013: 35

2014: 45

2015: 45

2016: 55

Formula Used:

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

Solution:

For 2013, compared to 2012:

​$$\frac{{35 - 30}}{{30}} \times 100 = \frac{{5}}{{30}} \times 100 = 16.67\%$$​​

For 2014, compared to 2013:

​$$\frac{{45 - 35}}{{35}} \times 100 = \frac{{10}}{{35}} \times 100 = 28.57\%$$​​

For 2015, compared to 2014:

​$$\frac{{45 - 45}}{{45}} \times 100 = \frac{{0}}{{45}} \times 100 = 0\% \text{ (fall)}$$​​

For 2016, compared to 2015:

​$$\frac{{55 - 45}}{{45}} \times 100 = \frac{{10}}{{40}} \times 100 = 25\%$$​​

The maximum percentage rise is in 2014 (28.57%). Therefore, the percentage rise in production with respect to the previous year is maximum for Company Y in the year 2014.