Product R accounts for 18% of the total production of 3,000 tonnes, which is \( 0.18 \times 3000 = 540 \) tonnes, and 20% of the total turnover of ₹5,00,00,000 (50 million), which works out to \( 0.20 \times 5,00,00,000 = 1,00,00,000 \) rupees. With expenditure of ₹15,000 per tonne, total expenditure on R is \( 540 \times 15000 = 81,00,000 \) rupees. Let's check each option against the resulting profit percentage:
Working from the actual revenue and expenditure figures for R gives a profit percentage of exactly 23.46%.
Therefore, the correct answer is 23.46%.
The selling price per tonne of a product is its turnover divided by its production quantity. Since total production and total turnover are the same fixed base for every product, the price per tonne is proportional to (turnover share) divided by (production share). Let's compute this ratio for each option:
Since S turns a comparatively large 25% of turnover from just 20% of production, it commands the highest selling price per tonne of all the products.
Therefore, the correct answer is S.
Product T accounts for 25% of the total production of 3,000 tonnes, which is \( 0.25 \times 3000 = 750 \) tonnes, and 20% of the total turnover of ₹5,00,00,000 (50 million), which works out to \( 0.20 \times 5,00,00,000 = 1,00,00,000 \) rupees. At an expenditure of ₹20,000 per tonne, total expenditure on T comes to \( 750 \times 20000 = 1,50,00,000 \) rupees. Let's check each option against the resulting loss:
Working from T's actual expenditure of 1,50,00,000 rupees against its revenue of 1,00,00,000 rupees gives a loss of exactly 5 million.
Therefore, the correct answer is 5 million.
This question compares the turnover of R with the turnover of T. R accounts for 18% of the total production but 20% of the total turnover of ₹5,00,00,000, giving R a turnover of \( 0.20 \times 5,00,00,000 = 1,00,00,000 \) rupees. T accounts for 25% of production but also 20% of turnover, giving T the same turnover figure of \( 0.20 \times 5,00,00,000 = 1,00,00,000 \) rupees. Let's check the options:
Because R and T both draw exactly 20% of the total turnover, their turnovers are equal, making R's turnover exactly 100% of T's.
Therefore, the correct answer is 100%.
The average selling price per tonne across all products is simply the total turnover divided by the total production, since these figures already account for every product together. Total turnover is ₹5,00,00,000 and total production is 3,000 tonnes. Let's check each option:
Since the total turnover and total production figures are already summed across all five products, dividing one by the other directly gives the average selling price per tonne.
Therefore, the correct answer is ₹16,667.