Discussion
The total solids content in a milk sample is 18 %. It is desired to produce 1000 kg of sweetened condensed milk (SCM) having 40 % sugar, 25 % moisture and rest milk solids. What is the 'Sugar Ratio' (in percentage) in the SCM in terms of sugar and water content in the final product?
Answer: B
The sugar ratio is 61.54%.
The sugar ratio of sweetened condensed milk is the sugar concentration in its water phase, which is what makes the product keep:
\[ \begin{aligned} \text{sugar ratio} &= \frac{\text{sugar}}{\text{sugar} + \text{water}} \times 100 \\ &= \frac{40}{40 + 25} \times 100 = 61.54\% \end{aligned} \]
The 18% total solids of the raw milk and the 1000 kg batch size are not needed for this ratio; they matter only for working out how much milk and sugar to use. The other options do not follow from the 40% sugar and 25% water.
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