Subtopic: Drying and milling of cereals, pulses and oilseeds
Question Statement:
The ratio of moisture content on wet basis to moisture content on dry basis for wheat grain is 4:5. The ratio of weight of dry matter to weight of water in the grain is
Options:
(A) 4:1
(B) 4:5
(C) 1:4
(D) 5:4
Official Answer Key:
A
Step-by-Step Solution & Explanation
Let W = weight of water and D = weight of dry matter.
Moisture content, wet basis: M_wb = W/(W + D)
Moisture content, dry basis: M_db = W/D
Their ratio:
M_wb/M_db = [W/(W + D)] × (D/W) = D/(W + D)
Given this ratio = 4/5:
D/(W + D) = 4/5
5D = 4W + 4D
D = 4W
Therefore, dry matter : water = 4 : 1
(Useful identity confirmed here: M_wb/M_db = 1 − M_wb, always.)
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