The passage states world fruit production went up 54% between 2000 and 2019, reaching 883 million tonnes in 2019. We need the 2000 figure. Let's check each option by seeing what a 54% increase on it would produce.
Only option (C) produces a 2019 figure that lands on 883 million tonnes once a 54% increase is applied.
Therefore, the correct answer is 573 million tonnes.
The passage sets up several relationships among the five fruit species' shares of the 2019 total (57%): bananas and plantains rose by 1 percentage point over their 2000 share, watermelons in 2019 were 6 points lower than bananas and plantains were in 2000, apples held steady at 10%, and oranges and grapes each fell to half of bananas and plantains' 2019 share. Let's test each option by checking whether all five 2019 shares add up to 57%.
Only the 18% figure keeps all five 2019 shares consistent with the passage's 57% total.
Therefore, the correct answer is 18%.
From the previous relationships, bananas and plantains held a 17% share in 2000 and apples held a stable 10%. The passage tells us oranges' 2000 share equals watermelons' 2019 share (11%, from \( 17 - 6 \)); since oranges and grapes carried equal shares of 9% each in 2019 (both being half of bananas and plantains), the same pairing holds in 2000, so grapes also held an 11% share that year. That leaves watermelon's 2000 share as the remainder of the five-species 2000 total of 63%:
\[ \text{Watermelon 2000 share} = 63 - 17 - 10 - 11 - 11 = 14\% \]With total 2000 production at 573 million tonnes (from the earlier question), watermelon production in 2000:
\[ 0.14 \times 573 \approx 80.2 \text{ million tonnes} \]Applying the successive reductions: one-eighth perished, one-fifth of the remainder was juiced, then 30% of what was left was exported:
\[ 80.2 \times \dfrac{7}{8} \times \dfrac{4}{5} \times 0.70 \approx 39.3 \text{ million tonnes} \]Therefore, the correct answer is 39.2 million tonnes.
This question is built on the grape production figures for 2000. From the earlier relationships, grapes carried the same 11% share of total 2000 fruit production as oranges did that year (the two moved together, each ending 2019 at half of bananas and plantains' share). With total 2000 production at 573 million tonnes:
\[ \text{Grape production in 2000} = 0.11 \times 573 \approx 62.9 \text{ million tonnes} \]This is the pool of grapes available for the customer transactions described: a fixed quantity was sold to the second, third and fourth customers in the ratio 1 : 2 : 4 (matching the total quantity of apples sold), with the balance held back in storage.
Therefore, the correct answer is 62.91 million tonnes.
Frutopia and Fruitfix sell oranges at the same selling price, but apply different discount percentages to different marked prices. Let's work out Fruitfix's marked price using the equal-selling-price condition.
Frutopia's selling price (15% discount on Rs 75):
\[ SP = 75 \times (1 - 0.15) = 75 \times 0.85 = 63.75 \]Since Fruitfix sells at the same Rs 63.75 after a 20% discount on its own marked price \( MP \):
\[ 63.75 = MP \times (1 - 0.20) = MP \times 0.80 \]\[ MP = \dfrac{63.75}{0.80} = 79.6875 \approx 80 \]Therefore, the correct answer is Rs 80.