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Assertion (A): Adding the moisture percentage to the dry mass gives the wrong wet mass.
Reason (R): Moisture is quoted as a proportion of the wet material, not of the dry solids.

  • A.A is true but R is false
  • B.A is false but R is true
  • C.Both A and R are true, and R is the correct explanation of A
  • D.Both A and R are true, but R is not the correct explanation of A

Answer: C

Correct answer: Both A and R are true, and R is the correct explanation of A

Both are true and the reason gives the cause. Moisture is quoted as a fraction of the wet mass, so to deliver \( m \) kilograms of dry solids one must weigh \[ \frac{m}{1-w} \] rather than \( m(1+w) \). At ten per cent moisture the correct figure is \( m/0.9 = 1.111m \) while adding gives \( 1.10m \) - a shortfall that puts the whole recipe out of proportion.

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