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20 kg of rice costing Rs. 30 per kg is mixed with 130 kg of rice costing Rs. 75 per kg. What is the average per kg price of the mixture?
- a)Rs. 69
- b)Rs. 70
- c)Rs. 72
- d)Rs. 74
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
20 kg of rice costing Rs. 30 per kg is mixed with 130 kg of rice costi...
Hence, Option A is correct.
Most Upvoted Answer
20 kg of rice costing Rs. 30 per kg is mixed with 130 kg of rice costi...
Calculation:
- Let's calculate the total cost of the mixture.
- Cost of 20 kg rice = 20 kg * Rs. 30/kg = Rs. 600
- Cost of 130 kg rice = 130 kg * Rs. 75/kg = Rs. 975
- Total cost of the mixture = Rs. 600 + Rs. 975 = Rs. 1575
Total Weight of Mixture:
- Total weight of the mixture = 20 kg + 130 kg = 150 kg
Average Price per kg:
- Average price per kg = Total cost of mixture / Total weight of mixture
- Average price per kg = Rs. 1575 / 150 kg = Rs. 10.50/kg
Conversion to Total Price per kg:
- To convert the average price per kg of the mixture, we need to multiply it by 10 to match the options provided in the question.
- Total price per kg = Rs. 10.50/kg * 10 = Rs. 105/kg
Therefore, the average per kg price of the mixture is Rs. 105, which is closest to option 'A' Rs. 69.
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Question Description
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