Ratio, Proportion
- 6 litres of milk and water mixture has 75% milk in it. How much milk should be added to the mixture to
make it 90% pure ?
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The given solution has 75 % milk .
Milk to be added has 100% milk .
By Alligation Rule
Ratio = 10 : 15 = 2 : 3
∴ Milk should be added to the given mixture in the ratio 3 : 2 .∴ Quantity of milk to be added = 3 " 6 ; 9 litres 2 Correct Option: C
The given solution has 75 % milk .
Milk to be added has 100% milk .
By Alligation Rule
Ratio = 10 : 15 = 2 : 3
∴ Milk should be added to the given mixture in the ratio 3 : 2 .∴ Quantity of milk to be added = 3 " 6 ; 9 litres 2
- 49 litres of milk has 80 % milk concentration . How much water be added to make its concentratio n 70% ?
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The given milk has 80 % concentration of milk .
Water to be added has 0 % milk concentration .
Final concentration of solution is 70% .
By Alligation Rule ,
So , water should be added to the given milk in the ratio 10 : 70 or 1 : 7 .∴ Quantity of water to be added = 1 " 49 ; 7 litres 7 Correct Option: B
The given milk has 80 % concentration of milk .
Water to be added has 0 % milk concentration .
Final concentration of solution is 70% .
By Alligation Rule ,
So , water should be added to the given milk in the ratio 10 : 70 or 1 : 7 .∴ Quantity of water to be added = 1 " 49 ; 7 litres 7
- A person has two solutions of sugar with 30% and 50% concentration respectively . In what ratio should he mix two solutions to get 45% concentration in the resulting mixture ?
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∴ 30% Concentrated Solution 50% Concentrated Solution ; 5 ; 1 15 3
Hence , the required ratio
= 1 : 3Correct Option: A
∴ 30% Concentrated Solution 50% Concentrated Solution ; 5 ; 1 15 3
Hence , the required ratio
= 1 : 3
- Two vessels A and B contain mixtures of milk and water in the ratios 4 : 1 and 9 : 11 respectively . They are mixed in the ratio of 3 : 2.Find the ratio of milk and water in the resulting mixture .
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First of all we write the fraction of milk and water in each mixture .
Both A and B are mixed in the ratio 3 : 2 .
∴ (3A + 2B ) will have ratio of milk and water as follows :Milk : Water = 3 " 4 ) 2 " 9 : 3 " 1 ) 2 " 11 5 20 5 20 = 12 ) 9 : 3 ) 11 5 10 5 10 = 33 : 17 ; 33 : 17 10 10
So , ratio of milk and water in the resulting mixture = 33 : 17Correct Option: D
First of all we write the fraction of milk and water in each mixture .
Both A and B are mixed in the ratio 3 : 2 .
∴ (3A + 2B ) will have ratio of milk and water as follows :Milk : Water = 3 " 4 ) 2 " 9 : 3 " 1 ) 2 " 11 5 20 5 20 = 12 ) 9 : 3 ) 11 5 10 5 10 = 33 : 17 ; 33 : 17 10 10
So , ratio of milk and water in the resulting mixture = 33 : 17
- Two vessels A and B contain milk and water in the ratios 7 : 5 and 17 :7 respectively . In what ratio
mixture from two vessels should be mixed to get a new mixture containing milk and water in the ratio 5 : 3 ?
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First of all we write the fraction of milk present in three mixtures.
Mixture A .
Ratio of milk and water = 7 : 5 .
Sum of the ratios = 7 + 5 = 12∴ Fraction of milk = 7 12
Similarly ,
In mixture B ,Fraction of milk = 17 24
In combination of A and B ,Fraction of milk = 5 8
We now apply Alligation Rule on these fractions .
∴ Ratio of A & B= 2 : 1 ; 2 : 1 . 24 24 Correct Option: C
First of all we write the fraction of milk present in three mixtures.
Mixture A .
Ratio of milk and water = 7 : 5 .
Sum of the ratios = 7 + 5 = 12∴ Fraction of milk = 7 12
Similarly ,
In mixture B ,Fraction of milk = 17 24
In combination of A and B ,Fraction of milk = 5 8
We now apply Alligation Rule on these fractions .
∴ Ratio of A & B= 2 : 1 ; 2 : 1 . 24 24