Question

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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Answer 1

Answer:

If 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  ₹ 144 rate per kg must he sell this mixture to make a profit of 20%.

Step-by-step explanation:

Given: A shopkeeper purchased 40 kg of rice at ₹90 per kg and mixed it 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:

$SP = (\frac{100+p}{100}\times CP)\\= (\frac{100+20}{100}\times 120)\\= (\frac{120}{100}\times 120)\\SP = 144$

So the selling price of the mixture of rice is ₹144.