A can contain a mixture of two liquids A and B in the ratio 7 : 5

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 Multiple Choice QuestionsMultiple Choice Questions

21.

In what proportion must a grocer mix sugar at Rs. 12 a kg and Rs. 7 a kg so as to make a mixture worth Rs. 8 a kg.?

  • 7 : 12

  • 1 : 4

  • 2 : 3

  • 2 : 3

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22.

49 kg of blended tea contains Assam and Darjeeling tea in the ratio 5 : 2. Then the quantity of Darjeeling tea to be added to the mixture to make the ratio of Assam to Darjeeling tea 2 : 1 is

  • 4.5 kg

  • 3.5 kg

  • 5 kg

  • 5 kg

691 Views

23.

A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litre more than water, the quantity of spirit in the mixture is

  • 12 litre

  • 10 litre

  • 9 litre

  • 9 litre

319 Views

24.

A merchant buys 25 litre of milk daily at the rate of â‚¹ 12 per litre. He mixes 5 litre of water in it and sells at the rate of â‚¹ 10.40 per litre. His gain/loss is

  • 8% profit

  • 2% profit

  • 4% profit

  • 6% profit

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25.

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

  • 5 : 1

  • 5 : 2 

  • 5 : 3

  • 5 : 4

122 Views

26.

A drum of kerosene is 3 over 4 full. When 30 L of kerosene is drawn from it, it remains 7 over 12full. The capacity of the drum is

  • 120 L

  • 135 L

  • 150 L

  • 180 L

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27.

A can contain a mixture of two liquids A and B in the ratio 7 : 5. When 9 L of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. Litres of liquid A contained by the can initially was

  • 10

  • 20

  • 21

  • 25


C.

21

Let the Can initially contains 7x and 5x of mixtures A and B respectively.
According to the question,
rightwards double arrow space space space fraction numerator 7 straight x minus begin display style 21 over 4 end style over denominator open parentheses 5 straight x minus begin display style 15 over 4 end style close parentheses plus 9 end fraction space equals space 7 over 9
rightwards double arrow space space space fraction numerator 28 straight x minus 21 over denominator 20 straight x space plus space 21 end fraction space equals space 7 over 9
rightwards double arrow space space space 252 straight x minus 189 space equals space 140 straight x space plus space 147
rightwards double arrow space space space 112 straight x space equals space 336
rightwards double arrow space space space space space space straight x space equals space 3
∴  the Can initially contains 7x = 7 x 3 = 21 litres of A.

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28.

An alloy contains copper, zinc and nickel in the ratio of 5 : 3  : 2. The quantity of nickel in kilogram that must be added to 100 kg of this alloy to have the new ratio 5 : 3 : 3 is

  • 8

  • 10

  • 12

  • 15

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29.

A container has 80 L of milk. From this container, 8 L of milk was taken out and replaced by water. The process was further repeated twice. The volume of the milk in the container after that is

  • 58.23 L

  • 85.23 L

  • 58.32 L

  • 85.32 L

97 Views

30.

15 L of a mixture contains alcohol and water in the ratio 1 : 4. If 3 L of water is mixed in it, the percentage of alcohol in the new mixture will be

  • 15

  • 16 2 over 3

  • 17

  • 18 1 half

77 Views

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