Fresh grapes contain 80 percent water while dry grapes contain 10 percent water. If the weight of dry grapes is 250 kg what was its total weight when it was fresh?
(a)1000 kg
(b)1100 kg
(c)1125 kg
(d)1225 kg
Answer
Answer (as printed): C
Explanation
Quantity of pulp in fresh grapes = Quantity of pulp in dry grapes $=(100-10) \%$ of $250 \mathrm{kg}=90 \%$ of $250 \mathrm{kg}=225 \mathrm{kg}$. Let the total weight of fresh grapes be $x \mathrm{kg}$. Then, (100-80)\% of $x$ $$\begin{aligned} & =225 \Rightarrow 20 \% \text { of } x=225 \Rightarrow \frac{x}{5}=225 \\ & \Rightarrow \quad x=225 \times 5=1125 . \end{aligned}$$ Hence, total weight of fresh grapes $=1125 \mathrm{kg}$.