Ratio, Proportion
- Two equal vessels are filled with the mixtures of water and milk in the ratio of 3:4 and 5:3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be
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Let the capacity of each vessel =1 litre
In First VesselWater = 3 litre 7 Milk = 4 litre 7
In Second VesselWater = 5 litre 8 Milk = 3 litre 8
In 2 litres of mixture,
Water : milk= 3 + 5 : 4 + 3 7 8 7 8 = 24 + 3 : 32 + 21 56 56
= 59 : 53Correct Option: D
Let the capacity of each vessel =1 litre
In First VesselWater = 3 litre 7 Milk = 4 litre 7
In Second VesselWater = 5 litre 8 Milk = 3 litre 8
In 2 litres of mixture,
Water : milk= 3 + 5 : 4 + 3 7 8 7 8 = 24 + 3 : 32 + 21 56 56
= 59 : 53
- Two types of alloy possess gold and silver in the ratio of 7 : 22 and 21 :37. In what ratio should these alloys be mixed so as to have a new alloy in which gold and silver would exist in the ratio 25 : 62 ?
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Quantity of gold in 1 kg of alloy ‘A’ = 7 29 Quantity of gold in 1kg of alloy ‘B’ = 21 58 Quantity of gold in 1 kg of alloy ‘C’ = 25 87 ∴ Required ratio = 
21 − 25 
: 25 − 7 58 87 87 29 = 63 − 50 : 25 − 21 174 87 = 13 : 4 174 87
= 13 : 8Correct Option: A
Quantity of gold in 1 kg of alloy ‘A’ = 7 29 Quantity of gold in 1kg of alloy ‘B’ = 21 58 Quantity of gold in 1 kg of alloy ‘C’ = 25 87 ∴ Required ratio = 21 − 25 : 25 − 7 58 87 87 29 = 63 − 50 : 25 − 21 174 87 = 13 : 4 174 87
= 13 : 8
- In one glass, milk and water are mixed in the ratio 3 : 5 and in another glass they are mixed in the ratio 6 : 1. In what ratio should the contents of the two glasses be mixed together so that the new mixture contains milk and water in the ratio 1 : 1 ?
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In glass I
Milk = 3 , water = 5 8 8
In glass II,Milk = 6 , water = 1 7 7
By Alligation rule,
∴ Required ratio = 5 : 1 14 8
= 20 : 7Correct Option: A
In glass I
Milk = 3 , water = 5 8 8
In glass II,Milk = 6 , water = 1 7 7
By Alligation rule,∴ Required ratio = 5 : 1 14 8
= 20 : 7
- In a mixture of 60 litres, the ratio of milk and water is 2 : 1. How much more water must be added to make its ratio 1 : 2 ?
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In original mixture,
Milk = 40 litres
Water = 20 litres
If x litres of water is mixed,40 = 1 20 + x 2
⇒ 20 + x = 80
⇒ x = 60 litresCorrect Option: D
In original mixture,
Milk = 40 litres
Water = 20 litres
If x litres of water is mixed,40 = 1 20 + x 2
⇒ 20 + x = 80
⇒ x = 60 litres
- Two vessels A and B contains acid and water in the ratio 4 : 3 and 5 : 3 respectively. Then the ratio in which these mixtures to be mixed to obtain a new mixture in vessel C containing acid and water in the ratio 3 : 2 is
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By alligation rule
∴ Required ratio = 1 : 1 40 35
= 7 : 8Correct Option: B
By alligation rule
∴ Required ratio = 1 : 1 40 35
= 7 : 8
