A sample of $1000\text{ kg}$ paddy is processed in a modern rice mill. The husk fraction is $22\%$ of rough paddy. Bran removal during polishing is $8\%$ of brown rice. Brokens constitute $15\%$ of the total milled white rice. The mass of whole head rice recovered is ________ $\text{kg}$ (round off to one decimal place).
Answer Key:
610.0
Step-by-Step Solution & Explanation
Step 1: Mass of brown rice after dehusking:
$W_{brown} = 1000 \times (1 - 0.22) = 780.0\text{ kg}$
Step 2: Total milled rice after bran polishing:
$W_{milled} = 780.0 \times (1 - 0.08) = 717.60\text{ kg}$
Step 3: Head rice (unbroken whole kernels):
$W_{head} = W_{milled} \times (1 - 0.15) = 610.0\text{ kg}$