Question

james is a milk​ dealer and usually mix water in the milk . he has certain quantity of milk and mixes it with 16 litres of water and sell, the mixture at Rs 0.9 per litre . if pure milk is worth Rs1.08 per litre , then how much milk is there in the mixture

Answer 1

Dear student
$$\begin{gathered} \mathrm{Th}\mathrm{mean}\mathrm{value}\mathrm{of}\mathrm{mixture}\mathrm{is}\mathrm{Rs}0.9\mathrm{per}\mathrm{litre}\mathrm{and}\mathrm{the}\mathrm{price}\mathrm{of}\mathrm{water}\mathrm{is}\mathrm{Rs}0 \\ \mathrm{The}\mathrm{mean}\mathrm{value}\mathrm{of}\mathrm{milk}\mathrm{is}\mathrm{Rs}1.08\mathrm{per}\mathrm{litre} \\ \mathrm{Ratio}\mathrm{of}\mathrm{milk}\mathrm{and}\mathrm{water}=\frac{0.9}{1.08-0.9}=\frac{0.9}{0.18}=\frac{9\times 100}{18\times 10}=5 \\ \mathrm{Theerfore},\mathrm{quantity}\mathrm{of}\mathrm{milk}\mathrm{in}\mathrm{the}\mathrm{mixture}=5\times 16=80\mathrm{litres} \end{gathered}$$
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