Question

Fresh grapes contain $80\%$ water, while dry grapes contain $10\%$ water. If the weight of dry grapes is $250$ kg, then what was its total weight when it was fresh?

• A. $1000$ kg
• B. $1100$ kg
• C. $1125$ kg
• D. $1225$ kg

Answer 1

The correct option is C $1125$ kg

Quantity of pulp in fresh grapes
$=$ Quantity of pulp in dry grapes
$=(100-10)\%$ of $250$ kg
$=90\%$ of $250$ kg
$=225$ kg

Let the total weight of fresh grapes be $x$ kg.
Then, $(100-80)\%$ of $x=225$
$\Rightarrow 20\%$ of $x=225$
$\Rightarrow \frac{x}{5}=225$
$\Rightarrow x=225\times 5$
$\therefore x=1125$ kg