Discussion
Study the given graph and answer the following question.
Production of rice by states A, B and C during 2018 to 2020 (in lakh tonnes)
| State | 2018 | 2019 | 2020 |
|---|---|---|---|
| A | 450 | 500 | 600 |
| B | 550 | 470 | 650 |
| C | 620 | 600 | 720 |
The average production of rice (per year) by states A, B and C in 2018 is what percentage less than the production of rice by state C in 2020?
Answer: C
The average production is 25% less than C's 2020 production. State production in 2018: A 450, B 550, C 620, so the average is \[ \frac{450 + 550 + 620}{3} = \frac{1620}{3} = 540 \] State C in 2020 produced 720 lakh tonnes. \[ \begin{aligned} \frac{720 - 540}{720}\times 100 &= \frac{180}{720}\times 100 \\ &= 25\% \end{aligned} \] Dividing the same difference of 180 by 540 instead of 720 would give \(33\frac{1}{3}\)%, which is the wrong base, since the question compares with C's 2020 production; 18% and 20% do not come out of these numbers.
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