Question

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. $1125$ kg
• C. $1225$ kg
• D. $1100$ kg

Answer 1

Answer: (B)

$1125$ kg

In $250$ kg of dry grapes, there is $\left(\begin{array}{c}\frac{10}{100}\times 250kg\end{array}\right)=25$ kg water
and $(250-25)$ kg $=225$ kg of pulp.
$\because$ In fresh grapes, there is $80\%$ water and $20\%$ pulp.
$\therefore 20\%$ of Total weight of fresh grapes $=225$ kg
$\Rightarrow \frac{20}{100}\times$ Total;weight $=225$
$\Rightarrow$ Total weight $=\frac{225\times 100}{20}=1125$ kg