The line graph shows the exports (in Rs crore) of a company from 2016 to 2021.
In which year was the percentage increase in exports over the previous year the greatest?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 2019
Percentage increase \(\displaystyle =\frac{\text{increase}}{\text{previous year's value}}\times100\). The year with the largest increase in crores need not have the largest percentage increase, because the base changes.
2017: \(\displaystyle \frac{48-40}{40}\times100=20\%\)
2018: exports fell from 48 to 45 (no increase)
2019: \(\displaystyle \frac{60-45}{45}\times100=33\frac{1}{3}\%\)
2020: exports fell from 60 to 54 (no increase)
2021: \(\displaystyle \frac{70-54}{54}\times100\approx29.6\%\)
The greatest percentage increase, \(33\frac{1}{3}\%\), was in 2019 (2021 had the larger increase in crores, 16 against 15, but on a larger base).