type 8 alligation & mixtures based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on ratio & proportion topic of quantitative aptitude
(a) 56 litres
(b) 50 litres
(c) 71 litres
(d) 81 litres
The correct answers to the above question in:
Answer: (d)
Quantity of milk in 729 litres of mixture
= $7/9 × 729$ = 567 litres
Quantity of water
= (729 - 567) litres = 162 litres.
Let x litres of water is mixed to get the required ratio of 7 : 3
$567/{162 + x} =7/3$
7x + 1134 = 1701
7x = 1701 - 1134 = 567
$x = 567/7$ = 81 litres
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Read more alligation and mixtures problems Based Quantitative Aptitude Questions and Answers
Question : 1
There is 81 litres pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture?
a) 2 : 1
b) 4 : 5
c) 1 : 1
d) 1 : 2
Answer »Answer: (b)
Quantity of milk in the last
= $81(1 - 27/81)^2 = 81(1 - 1/3)^2$
= $81 × 2/3 × 2/3$ = 36
Quantity of water in the last
= 81 - 36 = 45
Ratio = $36/45 = 4/5 = 4 : 5$
Question : 2
Two vessels A and B contain milk and water mixed in the ratio 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is
a) 5 : 6
b) 4 : 3
c) 6 : 5
d) 7 : 5
Answer »Answer: (d)
Required ratio
= $1/10 : 1/14$ = 7 : 5
Question : 3
Vessels A and B contain mixtures of milk and water in the ratios 4 : 5 and 5 : 1 respectively. In what ratio should quantities of mixture be taken from A and B to form a mixture in which milk to water is in the ratio 5 : 4?
a) 5 : 2
b) 2 : 3
c) 4 : 3
d) 2 : 5
Answer »Answer: (a)
First of all we write the fraction of milk present in three mixtures.
In A; $4/9$ and In B; $5/6$
In combination of A and B; $5/9$
From alligation rule,
= $5/18 : 1/9$
$5/18 : 2/18$ ⇒ 5 : 2
So, ratio of
A : B = 5 : 2
GET ratio & proportion PRACTICE TEST EXERCISES
type 1 basic concepts of ratio & proportion
type 2 age based ratio & proportion problems
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type 8 alligation & mixtures based ratio & proportion problems
type 9 coins & rupees based ratio & proportion problems
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