Fresh agricultural produce contains $80\%$ water by weight, whereas dried produce contains $20\%$ water by weight. The quantity of dried produce obtained from $100\text{ kg}$ of fresh produce is ________ $\text{kg}$ (answer in integer).
Answer Key:
25
Step-by-Step Solution & Explanation
1. Dry matter content in fresh produce:
$\text{Dry matter} = 100\text{ kg} \times (1 - 0.80) = 20\text{ kg}$
2. In dried produce, dry matter represents $(100 - 20)\% = 80\%$ of total weight:
$0.80 \times W_{\text{dried}} = 20\text{ kg} \implies W_{\text{dried}} = \frac{20}{0.80} = 25\text{ kg}$
Thus, $25\text{ kg}$ of dried produce is obtained.