Step 1: Understanding the Question.
The export table gives each commodity as a percentage weight of total exports for each year, not its rupee value. Since the Total Exports figure itself grew from Rs. 293366.75 crore in 2003-04 to Rs. 375339.53 crore in 2004-05, we must convert each commodity's weight percentage into an actual rupee value before we can compare growth rates fairly.
Step 2: Key Formula.
For a commodity with weight \(w\), its export value in a year is:
\[ \text{Value} = \frac{w}{100} \times \text{Total Exports for that year} \]
The growth rate from 2003-04 to 2004-05 is:
\[ \text{Growth} = \frac{\text{Value}_{04\text{-}05}}{\text{Value}_{03\text{-}04}} - 1 \]
Step 3: Compute for the candidate commodities.
Petroleum products: value goes from \(5.54\% \times 293366.75 = 16252.5\) to \(8.57\% \times 375339.53 = 32166.6\), a growth of about 97.9%.
Ores and minerals: value goes from \(3.69\% \times 293366.75 = 10825.2\) to \(5.29\% \times 375339.53 = 19855.5\), a growth of about 83.4%.
Engineering goods: value goes from \(16.41\% \times 293366.75 = 48147.3\) to \(18.41\% \times 375339.53 = 69100.0\), a growth of about 43.5%.
Gems and jewellery: value goes from \(16.56\% \times 293366.75 = 48582.9\) to \(17.29\% \times 375339.53 = 64896.2\), a growth of about 33.6%.
Chemicals and related products: value goes from \(15.43\% \times 293366.75 = 45260.5\) to \(16.00\% \times 375339.53 = 60054.3\), a growth of about 32.7%.
Agri and allied products: value goes from \(8.39\% \times 293366.75 = 24619.5\) to \(7.61\% \times 375339.53 = 28563.3\), a growth of about 16.0%.
Step 4: Rank and eliminate.
Ranking these growth rates in descending order: petroleum products (about 97.9%), ores and minerals (about 83.4%), engineering goods (about 43.5%), gems and jewellery (about 33.6%), chemicals and related products (about 32.7%), agri and allied products (about 16.0%). The top three, in order, are petroleum products, ores and minerals and engineering goods, which is exactly option 1. Options 2, 3 and 4 mix in commodities like gems and jewellery, chemicals or agri products that actually grew more slowly than petroleum products and engineering goods.
Final Answer:
The correct descending order is petroleum products, ores and minerals, engineering goods.
\[ \boxed{\text{petroleum products, ores and minerals, engineering goods}} \]