a shopkeeper purchased 40 kg of rice at rs 90 per kg and mixed with 40 kg of rice costing rupees 150 per kg at what at what rate per kg must he sell this mixture to make a profit of 20%
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Given:
A shopkeeper purchased 40 kg of rice at ₹90 per kg and mixed with 40 kg of rice costing ₹150 per kg
To find:
At what rate per kg must he sell this mixture to make a profit of 20%
Solution:
The rate of rice 1 is ₹90 per kg
So the CP of 40 kg of rice1 is
- 40×90
- ₹3600
The rate of rice2 is ₹150 per kg
So the CP of 40 kg of rice2 is
- 40×150
- ₹6000
So the total CP of the mixture of the rice is
- 3600 + 6000
- ₹9600
The CP price of the mixture per kg is
- 9600/80
- ₹120
Here we have to get the total profit of 20 %
so the selling price of the rice is given by:
So the selling price of the mixture of the rice is ₹144
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