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Mixture and Alligation Exercise 2

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Mixture and Alligation 2

  • This online quiz will test your knowledge of Mixture and Alligation in Quantitative Aptitude.
  • This Online Test is useful for academic and competitive exams.
  • Multiple answer choices are given for each question in this test. You have to choose the best option.
  • After completing the test, you can see your result.
  • There is no negative marking for wrong answers.
  • There is no specified time to complete this test.

In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?

In 1 kg mixture quantity of iron = 200 gm

Let x gm sand should be added, then

10% of (1000 + x) = 200

∴ x = 1000 gm = 1 kg

In a mixture of milk and water the proportion of water by weight was 75%. If in the 60 gms mixture 15 gm. water was added, what would be the percentage of water? (weight in gms.)

In 60 gms mixture proportion of water

= mixture-and-alligation-q-46588.png

= 45 gms

Total proportion of water in new mixture

= 45 + 15 = 60 gms.

∴ Percentage of water

= mixture-and-alligation-q-46582.png

= 80%

Jaydeep purchased 25 kg of rice at the rate of ₹16.50 per kg and 35 kg of rice at the rate of ₹24.50 per kg. He mixed the two and sold the mixture. Approximately, at what price per kg did he sell the mixture to make 25 per cent profit?

CP = 25 × 16.50 + 35 × 24.50 = ₹1270

SP = 1270 ×mixture-and-alligation-q-46737.png

Price per kg mixture-and-alligation-q-46730.png

How many kg of salt at 42 paise per kg must a man mix with 25 kg of salt at 24 paise per kg so that he may, on selling the mixture at 40 paise per kg gain 25% on the outlay?

Here, cost price of mixture

mixture-and-alligation-q-46915.png

∴ mixture-and-alligation-q-46909.png

and hencemixture-and-alligation-q-46903.png

The number of millilitres of water added to reduce 9 ml of aftershave lotion, containing 50% alcohol, to a lotion containing 30% alcohol is

The given solution has 50% alcohol. Water which is to be added has 0% alcohol concentration.

Alcohol concentration :

mixture-and-alligation-q-46896.png

∴ Water should be added in the ratio 2 : 3

∴ Quantity of water to be added

mixture-and-alligation-q-46890.png

An empty fuel tank to a car was filled with A type of petrol. When the tank was half empty, it was filled with B type of petrol. Again when the tank was half empty, it was filled with A type of petrol. When the tank was half empty again, it was filled with B type of petrol. At this time, what was the percentage of A type of petrol in the tank?

Petrol APetrol B
I:A0
II:mixture-and-alligation-q-46884.pngmixture-and-alligation-q-46878.png
III:mixture-and-alligation-q-46872.pngmixture-and-alligation-q-46866.png
IV:mixture-and-alligation-q-46857.pngmixture-and-alligation-q-46851.png

Now, amount of petrol A

=mixture-and-alligation-q-46845.png

∴ required % mixture-and-alligation-q-46839.png× l00

= 37.50%

Five litres of water is added to a certain quantity of pure milk costing ₹3 per litre. If by selling the mixture at the same price as before, a profit of 20% is made, what is the amount of pure milk in the mixture?

Here, S. P. of mixture = C. P. of pure milk = ₹3 per litre

Now, S. P. of mixture

mixture-and-alligation-q-46821.png

mixture-and-alligation-q-46814.png

Also, C. P of water = ₹0

By the rule of alligation :

mixture-and-alligation-q-46808.png

∴ Ratio of pure milk and water in mixture

=mixture-and-alligation-q-46802.png

For five litres of water, quantity of pure milk

= 5 × 5 = 25 litres

Three bars of gold, weighing 6, 5, 4 and of 15, 14, 12½ carats fineness are mixed together. What is the fineness of the compound?

mixture-and-alligation-q-46796.png

mixture-and-alligation-q-46790.png

How many kilograms of tea powder costing ₹31 per kg be mixed with thirty six kilograms of tea powder costing ₹43 per kg, such that the mixture when sold at ₹44 per kg gives profit of 10%?

C.P. of the mixture

= mixture-and-alligation-q-46784.png

= ₹40 per kg

Using alligation rule, the required ratio

=mixture-and-alligation-q-46778.png

= 1 : 3

If 3 → 36 kg, then 1 → ?

=mixture-and-alligation-q-46772.png = 12 kg.

A trader mixes 80 kg of tea at ₹15 per kg with 20 kg of tea at cost price of ₹20 per kg. In order to earn a profit of 25%, what should be the sale price of the mixed tea?

C.P. of mixture

mixture-and-alligation-q-47253.png

∴ S.P.mixture-and-alligation-q-47247.png

A company blends two varieties of tea from two different tea gardens, one variety costing ₹20 per kg and other ₹25 per kg, in the ratio 5 : 4. He sells the blended tea at ₹23 per kg. Find his profit percent:

Let the quantity of two varieties of tea be 5x kg and 4x kg, respectively.

Now, SP = 23 × 9x = 207x

and CP = 20 × 5x + 25 × 4x = 200x

Profit % =mixture-and-alligation-q-47241.png

In what ratio must water be mixed with milk to gain 20% by selling the mixture at cost price?

Let C.P. of milk be Re. 1 per litre.

Then, S.P. of 1 litre of mixture = Re. 1.

Gain = 20%

∴ C.P. of 1 litre of mixture

= ₹mixture-and-alligation-q-47235.png

By the rule of alligation, we have :

mixture-and-alligation-q-47228.png

∴ Ratio of water and milk

=mixture-and-alligation-q-47222.png

Two liquids are mixed in the proportion of 3 : 2 and the mixture is sold at ₹11 per kg at a 10% profit. If the first liquid costs ₹2 more per kg than the second, what does it cost per litre?

C.P. of mixture

mixture-and-alligation-q-47216.png

Let the cost of second liquid be ₹x.

Then, cost of first liquid be ₹(x + 2).

∴ mixture-and-alligation-q-47210.png

⇒ 5x + 6 = 50 ⇒ x = ₹8.8

∴ cost of first liquid

= ₹(8.8 + 2) = ₹10.80

In what ratio must water be mixed with milk to gain 16⅔% on selling the mixture at cost price?

Let C.P. of 1 litre milk be Re. 1.

S.P. of 1 litre of mixture

= Re. 1, Gain = 50/3%

∴ C.P. of 1 litre of mixture = Re 6/7.

By the rule of alligation, we have :

mixture-and-alligation-q-47191.png

∴ Ratio of water and milk

=mixture-and-alligation-q-47185.png = 1 : 6.

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

By the rule of alligation, we have :

mixture-and-alligation-q-47179.png

So, ratio of 1st and 2nd quantities

= 7 : 14 = 1 : 2.

∴ Required quantity replaced = ⅔

How many litres of pure alcohol must be added to 10 litres of mixture which is 15% alcohol to make a mixture which will be 25% alcohol?

By the rule of alligation, Alcohol concentration :

mixture-and-alligation-q-47343.png

∴ Alcohol must be added in the ratio of 10 : 75 or 2 : 15

∴ Quantity of alcohol to be added in 10 litres

mixture-and-alligation-q-47337.png

How many kg of custard powder costing ₹40 kg must be mixed with 16 kg of custard powder costing ₹55 kg so that 25% may be gained by selling the mixture at ₹60 kg?

C. P. of mixture

mixture-and-alligation-q-47331.png

Let x kg be mixed. Then,

mixture-and-alligation-q-47325.png

mixture-and-alligation-q-47319.png

A butler stole wine from a butt of sherry which contained 32% of spirit and then replaced what he stole, by wine containing only 18% spirit. The butt was then of 24% strength only. How much of the butt had he stolen?

By the rule of alligation,

mixture-and-alligation-q-47313.png

mixture-and-alligation-q-47307.png

Now, wine of 32% spirit

=mixture-and-alligation-q-47301.png

∴ The rest part

i.emixture-and-alligation-q-47295.png of the butt has been stolen.

A chemist has 10 litres of a solution that is 10 per cent nitric acid by volume. He wants to dilute the solution to 4 per cent strength by adding water. How many litres of water must he add?

10% of 10 litre is 1 litre.

Nitric Acid 1 ltr.Water 9 ltr.

1 ltr. is 4% of 25 litre. So final solution will have

Nitric Acid 1 ltr.Water 24 ltr.

Hence 15 litres of water needs to be added.

Now check your Result..

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