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) 18 : 24
(b) 3 : 4
(c) 2 : 5
(d) 4 : 3
The correct answers to the above question in:
Answer: (b)
Required ratio = 1.8 : 2.4
= 18 : 24 = 3 : 4
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Read more alligation and mixtures problems Based Quantitative Aptitude Questions and Answers
Question : 1
The milk and water in a mixture are in the ratio 7 : 5. When 15 litres of water are added to it, the ratio of milk and water in the new mixture becomes 7 : 8. The total quantity of water in the new mixture is
a) 60 litres
b) 96 litres
c) 40 litres
d) 35 litres
Answer »Answer: (c)
Let the quantity of milk in the mixture = 7x litres and that of water = 5x litres.
According to the question,
${7x}/{5x + 15} = 7/8$
56x = 35x + 105
56 x - 35 x = 105
21x = 105
$x = 105/21$ =5
Required quantity of water
= (5x + 15) litres
= 5 × 5 + 15 = 40 litres
Question : 2
Zinc and copper are in the ratio of 5 : 3 in 200 gm of an alloy. How much grams of copper be added to make the ratio as 3 : 5?
a) 72
b) 66
c) $1/200$
d) 133$1/3$
Answer »Answer: (d)
Weight of zinc
= $200 × 5/8$= 125 gram
Weight of copper
= $200 × 3/8$ = 75 gram.
Let the ratio of 125 gram zinc and x gram copper be 3 : 5
= $125/x = 3/5$
$x = {125× 5}/3 = 625/3$ gram
Addition of copper in mixture
= $625/3 - 75 = {625 - 225}/3$
= $400/3 = 133{1}/3$ gram.
Question : 3
A mixture of 30 litres contain milk and water in the ratio of 7 : 3. How much water should be added to it so that the ratio of milk and water becomes 3 : 7 ?
a) 56 litres
b) 63 litres
c) 49 litres
d) 40 litres
Answer »Answer: (d)
Quantity of milk in 30 litre mixture
= $30/10 × 7$ = 21litres
Quantity of water
= $30/10 × 3 =9$ litres
Suppose x litres more water is added.
According to question,
$21/{9 + x} = 3/7$
9 + x = 49
x = 40 litres
GET ratio & proportion PRACTICE TEST EXERCISES
type 1 basic concepts of ratio & proportion
type 2 age based ratio & proportion problems
type 3 addition subtraction product on ratio & proportion
type 4 income & expenditure based ratio & proportion problems
type 5 shares & partnership based ratio & proportion problems
type 6 fractions based ratio & proportion problems
type 7 finding sum difference product based ratio & proportion problems
type 8 alligation & mixtures based ratio & proportion problems
type 9 coins & rupees based ratio & proportion problems
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