Question

A restaurant prepares $22litres$ of a mixture that contains $25\%$ of orange essence and the remaining quantity as water. If $3litres$ of water is mixed in this mixture, what will be the percentage of orange essence in the new mixture? A) $34\%$ b) $4\%$ c) $12\%$ d) $22\%$

Answer 1

Given:

$22$ litres of a mixture that contains $25\%$ of orange essence and the remaining quantity is water

Therefore orange essence in $22$ litres of a mixture $=25\%$ of $22=\left(\frac{1}{4}\right)\times 22=5.5litres$

$3$ litres of water is added to the mixture.

Therefore total mixture $=22+3=25litres.$

∴ The percentage of orange essence in the new mixture$=\left(\frac{5.5}{25}\right)\times 100$

$$\begin{gathered} =5.5\times 4 \\ =22\% \end{gathered}$$

Therefore, The percentage of orange essence in the new mixture $22\%$