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In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg?
- a)1 : 2
- b)2 : 1
- c)3 : 1
- d)1 : 3
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per...
C.P of a unit quantity of 1st kind = Rs. 62
C.P of a unit quantity of 2nd kind = Rs. 72
Mean price = Rs. 64.50
Required ratio = 7.50 : 2.50 = 3 : 1
Most Upvoted Answer
In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per...
To solve this problem, we need to use the concept of weighted averages. The weighted average is given by the formula:
Weighted average = (weight of first component * value of first component + weight of second component * value of second component) / (weight of first component + weight of second component)
In this case, we have two types of tea: one at Rs.62 per kg and the other at Rs.72 per kg. We need to find the ratio in which these two teas should be mixed to obtain a mixture worth Rs.64.50 per kg.
Let's assume that the ratio in which the teas should be mixed is x:y, where x and y are the weights of the teas in the mixture.
So, the weight of the tea at Rs.62 per kg in the mixture is x kg and the weight of the tea at Rs.72 per kg in the mixture is y kg.
Now, let's calculate the weighted average using the given values:
64.50 = (x * 62 + y * 72) / (x + y)
To simplify the equation, let's multiply both sides by (x + y):
64.50 * (x + y) = 62x + 72y
Expanding the equation:
64.50x + 64.50y = 62x + 72y
Rearranging the terms:
64.50x - 62x = 72y - 64.50y
2.50x = 7.50y
Dividing both sides by 2.50:
x = 3y
Therefore, the ratio in which the teas should be mixed is 3:1.
Hence, the correct answer is option C, 3:1.
Weighted average = (weight of first component * value of first component + weight of second component * value of second component) / (weight of first component + weight of second component)
In this case, we have two types of tea: one at Rs.62 per kg and the other at Rs.72 per kg. We need to find the ratio in which these two teas should be mixed to obtain a mixture worth Rs.64.50 per kg.
Let's assume that the ratio in which the teas should be mixed is x:y, where x and y are the weights of the teas in the mixture.
So, the weight of the tea at Rs.62 per kg in the mixture is x kg and the weight of the tea at Rs.72 per kg in the mixture is y kg.
Now, let's calculate the weighted average using the given values:
64.50 = (x * 62 + y * 72) / (x + y)
To simplify the equation, let's multiply both sides by (x + y):
64.50 * (x + y) = 62x + 72y
Expanding the equation:
64.50x + 64.50y = 62x + 72y
Rearranging the terms:
64.50x - 62x = 72y - 64.50y
2.50x = 7.50y
Dividing both sides by 2.50:
x = 3y
Therefore, the ratio in which the teas should be mixed is 3:1.
Hence, the correct answer is option C, 3:1.
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Community Answer
In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per...
Required ratio=a/b =7.50/2.50
a:b=7.50:2.50=3:1
a:b=7.50:2.50=3:1
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In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg?
a)1 : 2b)2 : 1c)3 : 1d)1 : 3Correct answer is option 'C'. Can you explain this answer?
Question Description
In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg? a)1 : 2b)2 : 1c)3 : 1d)1 : 3Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg? a)1 : 2b)2 : 1c)3 : 1d)1 : 3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg? a)1 : 2b)2 : 1c)3 : 1d)1 : 3Correct answer is option 'C'. Can you explain this answer?.
In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg? a)1 : 2b)2 : 1c)3 : 1d)1 : 3Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg? a)1 : 2b)2 : 1c)3 : 1d)1 : 3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg? a)1 : 2b)2 : 1c)3 : 1d)1 : 3Correct answer is option 'C'. Can you explain this answer?.
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a)1 : 2b)2 : 1c)3 : 1d)1 : 3Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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In what ratio must tea at Rs.62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg?
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