A mixture contains 80% acid and rest water. Part of the mixture

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11.

A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C wil be

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  • 5 : 9

  • 7 : 5

  • 7 : 5

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12.

In a laboratory, two bottles contain mixture of acid and water in the ratio 2 : 5 in the first bottle and 7 : 3 in the second. The ratio in which the contents of these two bottles be mixed such that the new mixture has acid and water in the ratio 2 : 3 is

  • 4 : 15

  • 9 : 8

  • 21 : 8

  • 21 : 8

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13.

A jar contains 10 red marbles and 30 green ones. How many red marbles must be added to the jar so that 60% of the marbles will be red?

  • 25

  • 30

  • 35

  • 35

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14.

A mixture contains 80% acid and rest water. Part of the mixture that should be removed and replaced by same amount of water to make the ratio of acid and water 4 : 3 is

  • 1 third rd
  • 3 over 7 th
  • 2 over 3 rd
  • 2 over 3 rd


D.

2 over 3 rd

Let the total quantity of mixture be 70 litres.
∴  Quantity of acid  = 70 space cross times space 80 over 100 space equals space 56 space litres
After replacement the quantity of acid
 space equals space fraction numerator 70 space cross times space 4 over denominator 7 end fraction space equals space 40 space litres
Therefore, (56 - 40) = 16 litres of acid is removed from the original mixture.

Let x litres of the mixture is removed and replaced by water
rightwards double arrow space space straight x space cross times space 80 over 100 space equals space 16
rightwards double arrow space space straight x space equals space 20 space litres
∴  Required Part of the mixture = 20 over 70 space equals space 2 over 7

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15.

Two vessels contain milk and water in the ratio 3 : 2 and 7 : 3. Find the ratio in which the contents of the two vessels have to be mixed to get a new mixture in which the ratio of milk and water is 2 : 1.

  • 2 : 1

  • 1 : 2

  • 4 : 1

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16.

300 grams of sugar solution has 40% of sugar in it. How much sugar should be added to make it 50% in the solution?

  • 40 gram

  • 10 gram

  • 60 gram

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17.

Two blends of a commodity costing Rs. 35 and Rs. 40 per kg respectively are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at Rs. 46 per kg and the remaining at the rate of Rs. 55 per kg. the profit percent is

  • 50

  • 30

  • 40

  • 40

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18.

60 kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3 : 2 and alloy B has tin and copper in the ratio 1 : 4, the amount of tin in the new alloy is

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19.

Three glasses of equal volume contains acid mixed with water. The ratios of acid and water are 2 : 3, 3 : 4 and 4 : 5 respectively. Contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is

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20.

Three containers have their volumes in the ratio of 3 : 4 : 5. They are full of mixtures of Milk and Water in the ratio of 4:1, 3:1 and 5:2 respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container will be

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