Ratio, Proportion
- Two alloys are both made up of copper and tin. The ratio of copper and tin in the first alloy is 1 : 3 and in the second alloy is 2 : 5. In what ratio should the two alloys be mixed to obtain a new alloy in which the ratio of tin and copper be 8 : 3 ?
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Required ratio = 1 : 1 = 4 : 7 77 44 Correct Option: B
Required ratio = 1 : 1 = 4 : 7 77 44
- The proportion of acid and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of water and acid in the mixture is :
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Required ratio
= 2 + 3 + 5 : 1 + 2 + 3 3 5 8 3 5 8 = 80 + 72 + 75 : 40 + 48 + 45 120 120
= 227 : 133Correct Option: B
Required ratio
= 2 + 3 + 5 : 1 + 2 + 3 3 5 8 3 5 8 = 80 + 72 + 75 : 40 + 48 + 45 120 120
= 227 : 133
- A container contains 60 kg of milk. From this container 6 kg of milk was taken out and replaced by water. This process was repeated further two times. The amount of milk left in the container is
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Amount of milk left = Initial amount ×
1 − Amount taken out in each operation 3 Initial amount = 60 1 − 6 3 60 = 60 1 − 6 3 10 = 60 × 9 × 9 × 9 10 10 10
= 43.74 kg.Correct Option: C
Amount of milk left = Initial amount ×
1 − Amount taken out in each operation 3 Initial amount = 60 1 − 6 3 60 = 60 1 − 6 3 10 = 60 × 9 × 9 × 9 10 10 10
= 43.74 kg.
- 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
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∴ Required ratio = 1 : 1 = 7 : 5 10 14 Correct Option: A
∴ Required ratio = 1 : 1 = 7 : 5 10 14
- A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup ?
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Ratio = 4 : 1∴ Required quantity = 1 5 Correct Option: C
Ratio = 4 : 1∴ Required quantity = 1 5