Ratio, Proportion
- In two types of brass, the ratios of Copper to Zinc are 8:3 and 15:7 respectively. If the two types of brass be melted and mixed in the ratio 5:2 a new type of brass is obtained. The ratio of Copper to Zinc in this new type of brass is
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∴ Required ratio = 5 : 1 154 77
= 5 : 2Correct Option: D
∴ Required ratio = 5 : 1 154 77
= 5 : 2
- Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture ?
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In 1 litre of first bottle,
Quantity of acid = 2 litre 5 Quantity of water = 3 litre 5
Quantity of water = 2 litres
In the resulting mixture,
Acid : Water= 
2 + 1 
3 + 2 5 5 = 2 + 5 : 3 + 10 5 5
= 7 : 13Correct Option: A
In 1 litre of first bottle,
Quantity of acid = 2 litre 5 Quantity of water = 3 litre 5
Quantity of water = 2 litres
In the resulting mixture,
Acid : Water= 2 + 1 3 + 2 5 5 = 2 + 5 : 3 + 10 5 5
= 7 : 13
- Three containers whose volumes are in the ratio of 2 : 3 : 4 are full of mixture of spirit and water. In the 1st container, the ratio of spirit and water is 4 : 1, in the 2nd container the ratio is 11 : 4 and in the 3rd container ratio is 7 : 3. All the three mixtures are mixed in a big container. The ratio of spirit and water in the resultant mixture is :
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In 2 litres of first container,
Spirit = 8 litre, Water = 2 litre 5 5
In 3 litres of second container,Spirit = 3 × 11 = 11 litres 15 5 Water = 3 × 4 = 4 litre 15 5
In 4 litres of third container,Spirit = 4 × 7 = 14 litres 10 5 Water = 4 × 3 = 6 litres 10 5
∴ Required ratio= 8 + 11 + 14 : 2 + 4 + 6 5 5 5 5 5 5 = 33 : 12 = 33 : 12 = 11 : 4 5 5 Correct Option: B
In 2 litres of first container,
Spirit = 8 litre, Water = 2 litre 5 5
In 3 litres of second container,Spirit = 3 × 11 = 11 litres 15 5 Water = 3 × 4 = 4 litre 15 5
In 4 litres of third container,Spirit = 4 × 7 = 14 litres 10 5 Water = 4 × 3 = 6 litres 10 5
∴ Required ratio= 8 + 11 + 14 : 2 + 4 + 6 5 5 5 5 5 5 = 33 : 12 = 33 : 12 = 11 : 4 5 5
- In a mixture of 25 litres, the ratio of milk to water is 4 : 1. Another 3 litres of water is added
to the mixture. The ratio of milk to water in the new mixture is
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In 25 litres of mixture,
Quantity of milk = 4 × 25 = 20 litres 5
Quantity of water = 5 litres
On adding 3 litres of water,
Required ratio = 20 : 8 = 5 : 2Correct Option: B
In 25 litres of mixture,
Quantity of milk = 4 × 25 = 20 litres 5
Quantity of water = 5 litres
On adding 3 litres of water,
Required ratio = 20 : 8 = 5 : 2
- A canister holds 36 litres of mixture of milk and water in the ratio 3 : 1. 15 litres of milk is added to the canister. The new ratio of the mixture is :
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In original mixture,
Milk = 3 × 36 = 27 litres 4 Water = 1 × 36 = 9 litres 4
On adding 15 litres of milk,
Required ratio = (27 + 15) : 9
= 42 : 9 = 14 : 3Correct Option: B
In original mixture,
Milk = 3 × 36 = 27 litres 4 Water = 1 × 36 = 9 litres 4
On adding 15 litres of milk,
Required ratio = (27 + 15) : 9
= 42 : 9 = 14 : 3
