Coffee costing Rs 250 per kg was mixed with chicory costing Rs 75 per kg in the ratio 5 : 2 for a certain blend.
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.
Solution:
Let $5 \mathrm{~kg}$ of coffee be mixed with $2 \mathrm{~kg}$ of chicory.
$\mathrm{CP}$ of the mixture $=\mathrm{Rs}(250 \times 5+75 \times 2)$
$=\mathrm{Rs}(1250+150)$
$=$ Rs. 1400
$\mathrm{SP}$ of the mixture $=\mathrm{Rs}(7 \times 230)=\mathrm{Rs} .1610$
Since SP $>\mathrm{CP}$, there is a gain.
Now, gain $=\operatorname{Rs}(1610-1400)$
$=$ Rs. 210
Gain percentage $=\left(\frac{\text { gain }}{\text { total } \mathrm{CP}} \times 100\right) \%$
$=\left(\frac{210}{1400} \times 100\right) \%$
$=15 \%$