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A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
- a)5 litres, 7 litres
- b)7litres, 4 litres
- c)6litres, 6 litres
- d)4litres, 8 litres
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A milk vendor has 2 cans of milk. The first contains 25% water and the...
Let x and (12-x) litres of milk be mixed from the first and second container respectively
Amount of milk in x litres of the the first container = .75x
Amount of water in x litres of the the first container = .25x
Amount of milk in (12-x) litres of the the second container = .5(12-x)
Amount of water in (12-x) litres of the the second container = .5(12-x)
Ratio of water to milk = [.25x + .5(12-x)] : [.75x + .5(12-x)] = 3 : 5
⇒ (.25x+6-5x)/(.75x+6-.5x) =3/5
⇒(6−.25x)/(.25x+6) =3/5
⇒30−1.25x=.75x+18
⇒2x=12
⇒x=6
Since x = 6, 12-x = 12-6 = 6
Hence 6 and 6 litres of milk should mixed from the first and second container respectively
Most Upvoted Answer
A milk vendor has 2 cans of milk. The first contains 25% water and the...
C.P. of milk in 1st container be 3\4
C.P. of milk in 2nd container be 1\2
C.P. of milk in final mixture be 5\8
as per alligation rule :-
1st 2nd
3\4 1\2
5\8
5\8 -1\2 3\4 -5\8
=1\8 =1\8
required ratio = 1:1
Ratio of milk in container 1st to 2nd is 1:1
so quantity of milk taken from each container be 1\2 x 12 = 6 lts. ans.
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Community Answer
A milk vendor has 2 cans of milk. The first contains 25% water and the...
Given:
- First can contains 25% water and the rest milk.
- Second can contains 50% water.
- Ratio of water to milk in the final mixture is 3:5.
- Total quantity required is 12 litres.
To find:
- Quantity of milk required from each can.
Solution:
Let's assume that x litres of milk is taken from the first can and y litres of milk is taken from the second can.
From the first can:
- Quantity of milk = 100% - 25% = 75%
- Ratio of milk to water = 75:25 = 3:1
- Quantity of milk in x litres = (3/4)x litres
- Quantity of water in x litres = (1/4)x litres
From the second can:
- Quantity of milk = 100% - 50% = 50%
- Ratio of milk to water = 1:1
- Quantity of milk in y litres = (1/2)y litres
- Quantity of water in y litres = (1/2)y litres
In the final mixture:
- Quantity of milk = 12 litres * 5/8 = 7.5 litres
- Quantity of water = 12 litres - 7.5 litres = 4.5 litres
- Ratio of water to milk = 3:5
From this, we can write:
- (1/4)x + (1/2)y = 4.5 (since the ratio of water to milk is 3:5)
- (3/4)x + (1/2)y = 7.5 (since the total quantity of milk is 7.5 litres)
Solving these equations simultaneously, we get:
- x = y = 6 litres
Therefore, the milk vendor should take 6 litres of milk from each can to get a final mixture of 12 litres with a ratio of water to milk as 3:5. Hence, option (c) is the correct answer.
- First can contains 25% water and the rest milk.
- Second can contains 50% water.
- Ratio of water to milk in the final mixture is 3:5.
- Total quantity required is 12 litres.
To find:
- Quantity of milk required from each can.
Solution:
Let's assume that x litres of milk is taken from the first can and y litres of milk is taken from the second can.
From the first can:
- Quantity of milk = 100% - 25% = 75%
- Ratio of milk to water = 75:25 = 3:1
- Quantity of milk in x litres = (3/4)x litres
- Quantity of water in x litres = (1/4)x litres
From the second can:
- Quantity of milk = 100% - 50% = 50%
- Ratio of milk to water = 1:1
- Quantity of milk in y litres = (1/2)y litres
- Quantity of water in y litres = (1/2)y litres
In the final mixture:
- Quantity of milk = 12 litres * 5/8 = 7.5 litres
- Quantity of water = 12 litres - 7.5 litres = 4.5 litres
- Ratio of water to milk = 3:5
From this, we can write:
- (1/4)x + (1/2)y = 4.5 (since the ratio of water to milk is 3:5)
- (3/4)x + (1/2)y = 7.5 (since the total quantity of milk is 7.5 litres)
Solving these equations simultaneously, we get:
- x = y = 6 litres
Therefore, the milk vendor should take 6 litres of milk from each can to get a final mixture of 12 litres with a ratio of water to milk as 3:5. Hence, option (c) is the correct answer.
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A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
a)5 litres, 7 litresb)7litres, 4 litresc)6litres, 6 litresd)4litres, 8 litresCorrect answer is option 'C'. Can you explain this answer?
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A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5? a)5 litres, 7 litresb)7litres, 4 litresc)6litres, 6 litresd)4litres, 8 litresCorrect 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 A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5? a)5 litres, 7 litresb)7litres, 4 litresc)6litres, 6 litresd)4litres, 8 litresCorrect 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 A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5? a)5 litres, 7 litresb)7litres, 4 litresc)6litres, 6 litresd)4litres, 8 litresCorrect answer is option 'C'. Can you explain this answer?.
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5? a)5 litres, 7 litresb)7litres, 4 litresc)6litres, 6 litresd)4litres, 8 litresCorrect 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 A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5? a)5 litres, 7 litresb)7litres, 4 litresc)6litres, 6 litresd)4litres, 8 litresCorrect 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 A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5? a)5 litres, 7 litresb)7litres, 4 litresc)6litres, 6 litresd)4litres, 8 litresCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
a)5 litres, 7 litresb)7litres, 4 litresc)6litres, 6 litresd)4litres, 8 litresCorrect 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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A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
a)5 litres, 7 litresb)7litres, 4 litresc)6litres, 6 litresd)4litres, 8 litresCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
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a)5 litres, 7 litresb)7litres, 4 litresc)6litres, 6 litresd)4litres, 8 litresCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
a)5 litres, 7 litresb)7litres, 4 litresc)6litres, 6 litresd)4litres, 8 litresCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
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