Question

Coffee costing Rs 250 per kg was mixed with chicory costing Rs 75 per kg in the ratio 5 : 2 for a certain blend. If the mixture was sold at Rs 230 per kg, find the gain or loss per cent.

Answer 1

$$\begin{gathered} \mathrm{Let}5\mathrm{kg}\mathrm{of}\mathrm{coffee}\mathrm{be}\mathrm{mixed}\mathrm{with}2\mathrm{kg}\mathrm{of}\mathrm{chicory}. \\ \mathrm{CP}\mathrm{of}\mathrm{the}\mathrm{mixture}=\mathrm{Rs}(250\times 5+75\times 2) \\ =\mathrm{Rs}(1250+150) \\ =\mathrm{Rs}.1400 \\ \mathrm{SP}\mathrm{of}\mathrm{the}\mathrm{mixture}=\mathrm{Rs}(7\times 230)=\mathrm{Rs}.1610 \\ \mathrm{Since}\mathrm{SP}>\mathrm{CP},\mathrm{there}\mathrm{is}\mathrm{a}\mathrm{gain}. \\ \mathrm{Now},\mathrm{gain}=\mathrm{Rs}(1610-1400) \\ =\mathrm{Rs}.210 \\ \mathrm{Gain}\mathrm{percentage}=(\frac{\mathrm{gain}}{\mathrm{total}\mathrm{CP}}\times 100)\% \\ =(\frac{210}{1400}\times 100)\% \\ =15\% \end{gathered}$$