Question

A milkman mixes milk and water in the ratio $5:2$. What percentage of the mixture is water?

Answer 1

Finding the percentage of water in the mixture

Let the quantity of milk be $5\mathrm{x}$ and the quantity of water be $2\mathrm{x}$

So, the total quantity of mixture will be $7\mathrm{x}$

$\mathrm{Required}\mathrm{percentage}=\left(\frac{\mathrm{Quantity}\mathrm{of}\mathrm{water}}{\mathrm{Quantity}\mathrm{of}\mathrm{mixture}}\times 100\right)\%$

$$\begin{gathered} \mathrm{Required}\mathrm{percentage}=\left(\frac{2\mathrm{x}}{7\mathrm{x}}\times 100\right)\% \\ =\left(\frac{2}{7}\times 100\right)\% \\ =\left(0.2857\times 100\right)\% \\ =28.57\% \end{gathered}$$

Hence, the water is $28.57\%$ of the total mixture.