MAT Exam 2020 Paper

Concept:Percentage change from the previous year is calculated using the previous year's production as the base.Explanation:For flavour $Y$, compare the production of each given year with the immediately preceding year.Year $2007$: previous $= 60$, current $= 50$. Change $= \frac{50-60}{60} \times 100 = \frac{100}{6}\% = 16.67\%$ decrease.Year $2008$: previous $= 50$, current $= 55$. Change $= \frac{55-50}{50} \times 100 = 10\%$ increase.Year $2009$: previous $= 55$, current $= 50$. Change $= \frac{50-55}{55} \times 100 = \frac{100}{11}\% = 9.09\%$ decrease.Year $2010$: previous $= 50$, current $= 55$. Change $= \frac{55-50}{50} \times 100 = 10\%$ increase.The maximum change is a $16.67\%$ decrease, which occurs in Year $2007$.Answer:Year 2007 Decrease, i.e., Option A.