A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk

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Question
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?
Options
A. 4 litres, 8 litres
B. 6 litres, 6 litres
C. 5 litres, 7 litres
D. 7 litres, 5 litres

Correct Answer

6 litres, 6 litres

Explanation

Let the cost of 1 litre milk be Re. 1

Milk in 1 litre mix. in 1^st can =	3	litre, C.P. of 1 litre mix. in 1^st can Re.	3
	4		4

Milk in 1 litre mix. in 2^nd can =	1	litre, C.P. of 1 litre mix. in 2^nd can Re.	1
	2		2

Milk in 1 litre of final mix. =	5	litre, Mean price = Re.	5
	8		8

By the rule of alligation, we have:

C.P. of 1 litre mixture in 1^st can C.P. of 1 litre mixture in 2^nd can

3

4

Mean Price

5

8

1

2

1

8

1

8

∴ Ratio of two mixtures =	1	:	1	= 1 : 1.
	8		8

So, quantity of mixture taken from each can =	❨	1	x 12	❩	= 6 litres.
		2

More questions

6.
Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?
Options
A. 18 days
B. 21 days
C. 3 days
D. 6 days

9.
Let A = {1, 2, {3, 4}, 5}. Which of the following statements is true?
Options
A. {3, 4} ? A
B. {3, 4} ? A
C. 1 ? A
D. {1, 2, 5} ? A

10.
Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio ?
Options
A. 2 : 5
B. 3 : 5
C. 4 : 5
D. 7 : 3

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