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The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then what is the price per kg of the mixed variety of material?
- a)Rs. 19
- b)Rs. 16
- c)Rs. 18
- d)Rs. 17
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs...
Let the price of the mixed variety be Rs. x per kg.
By rule of alligation, we have:
Therefore, (20 - x)/(x - 15) = 2/3
=> 60 - 3x = 2x - 30
=> 5x = 90
=> x = 18
Most Upvoted Answer
The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs...
Given:
Cost of Type 1 material = Rs. 15/kg
Cost of Type 2 material = Rs. 20/kg
Ratio of Type 1 and Type 2 material = 2:3
To find:
Price per kg of the mixed variety of material
Solution:
Let us assume that we have 2 kg of Type 1 material and 3 kg of Type 2 material. The total cost of this mixture would be:
Total cost = (2 kg x Rs.15/kg) + (3 kg x Rs.20/kg)
Total cost = Rs. 30 + Rs. 60
Total cost = Rs. 90
Therefore, the cost of 1 kg of the mixture would be Rs. 90/5 = Rs. 18/kg.
Hence, the price per kg of the mixed variety of material is Rs. 18/kg (Option C).
Alternatively, we can also solve this problem using weighted average formula:
Price per kg of the mixture = [(Price per kg of Type 1) x (Weight of Type 1) + (Price per kg of Type 2) x (Weight of Type 2)] / (Total weight)
Substituting the given values, we get:
Price per kg of the mixture = [(Rs. 15/kg) x 2 + (Rs. 20/kg) x 3] / (2+3)
Price per kg of the mixture = (Rs. 30 + Rs. 60) / 5
Price per kg of the mixture = Rs. 90/5
Price per kg of the mixture = Rs. 18/kg
Hence, the answer is Rs. 18/kg (Option C).
Cost of Type 1 material = Rs. 15/kg
Cost of Type 2 material = Rs. 20/kg
Ratio of Type 1 and Type 2 material = 2:3
To find:
Price per kg of the mixed variety of material
Solution:
Let us assume that we have 2 kg of Type 1 material and 3 kg of Type 2 material. The total cost of this mixture would be:
Total cost = (2 kg x Rs.15/kg) + (3 kg x Rs.20/kg)
Total cost = Rs. 30 + Rs. 60
Total cost = Rs. 90
Therefore, the cost of 1 kg of the mixture would be Rs. 90/5 = Rs. 18/kg.
Hence, the price per kg of the mixed variety of material is Rs. 18/kg (Option C).
Alternatively, we can also solve this problem using weighted average formula:
Price per kg of the mixture = [(Price per kg of Type 1) x (Weight of Type 1) + (Price per kg of Type 2) x (Weight of Type 2)] / (Total weight)
Substituting the given values, we get:
Price per kg of the mixture = [(Rs. 15/kg) x 2 + (Rs. 20/kg) x 3] / (2+3)
Price per kg of the mixture = (Rs. 30 + Rs. 60) / 5
Price per kg of the mixture = Rs. 90/5
Price per kg of the mixture = Rs. 18/kg
Hence, the answer is Rs. 18/kg (Option C).
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The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs...
C.)
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The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then what is the price per kg of the mixed variety of material?a)Rs. 19b)Rs. 16c)Rs. 18d)Rs. 17Correct answer is option 'C'. Can you explain this answer?
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