Question

Fresh fruit contains $68\%$ water and dry fruit contains $20\%$ water How much dry fruit can be obtained from $100\mathrm{kg}$of fresh fruits?

• A. $32\mathrm{kg}$
• B. $52\mathrm{kg}$
• C. $40\mathrm{kg}$
• D. $80\mathrm{kg}$

Answer 1

The correct option is C

$40\mathrm{kg}$

Explanation for the correct option:

Quantity of pulp in $100\mathrm{kg}$of fresh fruits $=\left(100-\frac{68}{100}\times 100\right)$
$=32\mathrm{kg}$
Let $\text{'}a\text{'}$be the quantity of dry fruits obtained
$$\begin{gathered} \Rightarrow (100-20)\%\times a=32 \\ \Rightarrow 80\%\times a=32 \\ \Rightarrow \frac{80a}{100}=32 \\ \Rightarrow a=\frac{100\times 32}{80} \\ =40\mathrm{kg} \end{gathered}$$

Hence option C is correct.