EduDose
  • Home
  • GK
  • Maths
  • Reasoning
  • English
  • Computer
  • Mock Tests
  • Today’s GK
  • Menu Menu

Mixture and Alligation Exercise 2

You are here: Home1 / Maths2 / Mixture and Alligation Exercise 13 / Mixture and Alligation Exercise 2
NEXT: Time and Work
हिंदी वर्जन
Time limit: 0

Finish Test

0 of 19 questions completed

Questions:

  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. 6
  7. 7
  8. 8
  9. 9
  10. 10
  11. 11
  12. 12
  13. 13
  14. 14
  15. 15
  16. 16
  17. 17
  18. 18
  19. 19

Information

  • Most Important Multiple Choice Questions
  • Online Mixture and Alligation Exercise with Correct Answer Key and Solutions
  • Useful for all Competitive Exams

You have already completed the quiz before. Hence you can not start it again.

Test is loading...

You must sign in or sign up to start the quiz.

You have to finish following quiz, to start this quiz:

Results

0 of 19 questions answered correctly

Time has elapsed

You have reached 0 of 0 points, (0)

Categories

  1. Not categorized 0%
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. 6
  7. 7
  8. 8
  9. 9
  10. 10
  11. 11
  12. 12
  13. 13
  14. 14
  15. 15
  16. 16
  17. 17
  18. 18
  19. 19
  1. Answered
  2. Review
  1. Question 1 of 19
    1. Question

    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%?

    Hint

    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

  2. Question 2 of 19
    2. Question

    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.)

    Hint

    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%

  3. Question 3 of 19
    3. Question

    Jaydeep purchased 25 kg of rice at the rate of Rs 16.50 per kg and 35 kg of rice at the rate of Rs 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?

    Hint

    CP = 25 × 16.50 + 35 × 24.50 = Rs 1270

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

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

  4. Question 4 of 19
    4. Question

    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?

    Hint

    Here, cost price of mixture

    mixture-and-alligation-q-46915.png

    ∴ mixture-and-alligation-q-46909.png

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

  5. Question 5 of 19
    5. Question

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

    Hint

    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

  6. Question 6 of 19
    6. Question

    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?

    Hint
    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%

  7. Question 7 of 19
    7. Question

    Five litres of water is added to a certain quantity of pure milk costing Rs 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?

    Hint

    Here, S. P. of mixture = C. P. of pure milk = Rs 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 = Rs 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

  8. Question 8 of 19
    8. Question

    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?

    Hint

    mixture-and-alligation-q-46796.png

    mixture-and-alligation-q-46790.png

  9. Question 9 of 19
    9. Question

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

    Hint

    C.P. of the mixture

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

    = Rs. 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.

  10. Question 10 of 19
    10. Question

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

    Hint

    C.P. of mixture

    mixture-and-alligation-q-47253.png

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

  11. Question 11 of 19
    11. Question

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

    Hint

    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

  12. Question 12 of 19
    12. Question

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

    Hint

    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

    = Rs.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

  13. Question 13 of 19
    13. Question

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

    Hint

    C.P. of mixture

    mixture-and-alligation-q-47216.png

    Let the cost of second liquid be Rs x.

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

    ∴ mixture-and-alligation-q-47210.png

    ⇒ 5x + 6 = 50 ⇒ x = Rs 8.8

    ∴ cost of first liquid

    = Rs (8.8 + 2) = Rs 10.80

  14. Question 14 of 19
    14. Question

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

    Hint

    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.

  15. Question 15 of 19
    15. Question

    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:

    Hint

    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

  16. Question 16 of 19
    16. Question

    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?

    Hint

    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

  17. Question 17 of 19
    17. Question

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

    Hint

    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

  18. Question 18 of 19
    18. Question

    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?

    Hint

    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.

  19. Question 19 of 19
    19. Question

    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?

    Hint

    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.

Most Viewed Topics on EduDose
G.K.
Maths
Reasoning
English

© Copyright - edudose.com
  • Facebook
  • Twitter
  • Privacy
  • Copyright
  • Sitemap
  • About | Contact
Scroll to top