COMPACT QUESTIONS (MIXTURE & ALLEGATIONS)-2

1) If the average weight of a class is 15 kg and the average weight of another class is 30 kg. Then find the ratio of the students of the first class to another class students when the average weight of both the classes is 25 kg.    1:2

2) The average weight of girls is15 and the average weight of boys is 30 and the average weight of the boys and girls both is 25 kg. If the number of boys are 12, then the number of girls is.      6

3) The ratio of number of girls to the number of boys is 1:2. If the average weight of the boys is 30 kg and the average weight of both the boys and girls be 25kg, then the average weight average weight of girls is:       1:2

4) The average weight of a class of 40 student is 30 kg and the average weight of a class of a class of 20 students is 15 kg. Find the average weight of the both the classes combined.            10,5

5) In an alloy 80% is copper and the remaining tin. In an another alloy, copper is 85% and tin is 12%. In what ratio should the two alloys in mixed so that the new mixture must have 15% tin. Also find the percentage of copper in the new mixture.           25/8%, 3:5

6) An alloy contains 90% Copper and 10% tin, in another alloy copper is 93% and 4% is tin. In what ratio should both alloys be mixed so that the newly formed alloy contain 9% tin and also find the percentage of copper in this.                                      

7) Two varieties of milk with different prices is mixed in the ratio 2:3. The price of first type of milk is 10 per litre while the price of second type of milk is 15 Rs/litre. The average price of the mixture:                                     2:3

8) 5 kg of superior quality of rice is my 25 kg in pressure quality rice . The price of superior quality and the inferior quality rice is Rs18 and Rs rupees 12 respectively. The average price per kg of the mixture is:                    1:5

9) Simran Travels 30 minutes at the speed of 25km/hr. Further he travels 20 minutes at the speed of 40 km/hr. Find his average speed.               9:6

10) Khushi covered 150 km distance in 10 hours. The first part of his journey he covered by car, Then he hired a rickshaw. The speed of the car and rickshaw is 20 km/hr and 12km/hr respectively. The ratio of the distance covered by car and the rickshaw respectively are...                              1:1

11) A milkman is two type of milk. In the first container the percentage of milk is 80% and in the second container the percentage of milk is 60%. If the mixture 28 litres of the milk of first container to the 32 litre of milk of the second container , then the % of milk in the mixture is:                28/3,32/3

12) A sum of Rs41 was divided 50 student. If each get 90 paise & each girl get 65 paise . Find the number of boys.      34,16

13) A sum of Rs36.90 is made up of 90 coins that either 20 paise coins or 50 paise coins. Find out how many 20 paise coins are there in a total amount.         27,63

14) Rs 69 were divided among 115 students so that each girls gets 50 paise less than a boy. Thus each boy received twice the paise as each girl received. The number of girls in the class is....                  92

15) A student get plus +3 marks for each right answer and - 0.5 marks for each wrong answer in an exam consists of 250 questions. If the students gets 477 marks in the exam, find the number of wrong questions attempted by students.           78 

16) In the centre of a square room of side 10m, there is a square carpet and the rest of the floor is covered with the cloth. If the cost of covering the full floor is Rs1338.50 and the price of carpet and cloth is 15Rs/m² and 6.50Rs/,m² respectively. Find the width of the cloth border .                    

17) In a Delhi zoo, there are deers and Ducks. if the heads are counted there are 180 while the legs are 448. What will be the number of deers in the zoo.     44 

18) In a MCD parking there are some two wheelers and rest are four wheelers. If wheels are counted, there are total 520 wheels but the incharge of the parking told me that there are only 175 vehicles. If no vehicle has a Stepney then the number of two wheelers is..           90

19) In my pocket there are Rs25 consisting of only the denomination of 25 paise & 50 paise. Thus there are total 80 coins in my pocket. The number of coins of the denomination of 50 paise is...          30

20 Owais reader Publication sold the 30% books at the profit of 50% and 70% books at the profit of 10%. The average profit percent of the publication shop is,  If it sells only these two kinds of books.           30,70

21) A bus agency has 108 buses. He sold some buses at 9% profit and rest at 36% profit. Thus he gains 17% on the sale of all his buses. The number of buses sold at 36% profit is...         32

22) A man purchased a pen and book for Rs1300. He sold the pen at a profit of 20% and the book at a profit of 25%. In this way, his total profit was 300/13%. Find the CP of book.      800

23) How many kg of sugar worth Rs3.60 per kg should be mixed with the 8 kg of sugar worth Rs4.20 per kg such that by selling the mixture at Rs 4.40 per kg, there may be gain of 10%.      

24) A shopkeeper purchased two qualities of pulses at the rate of Rs200 per quintal and Rs260 per quintal. In 52 quintal of the second quality, how much pulse of the first quality should be mix so that by selling the resulting mixture at Rs300 per quintal , he gains a profit of 25%.       26

25) A man purchased 5 horses and 10 cows of Rs10000. He sells the hors at 15% profit and cow at 10% loss. find the cost of each horse if he earns a profit of 375.     450

26) 20 pens and 16 pencils are purchased by a man for Rs360. He sold the pens at 25% profit and Pencils at 7/5 of its cost price. Find the price of each pencil, if he earns profit of Rs120 at the end.             12.50

27) A man purchased two chairs in Rs900. he sells the first chair at 4/5 of its cost price while the second chair is sold at 5/4 of its cost price. if during the whole transaction he earns a profit of Rs90, find the cost price of cheaper chair .          300,900

28) A mixture of sugar is sold at Rs3 per kg. This mixture is formed by mixing the sugar of Rs2.10 and Rs2.52 per kg. What is the ratio of the cheaper to the costlier quality in the mixture if profit of 25% is earned .        2:5

29) Robin Sir sales 2 types of books viz, National books and international books. He sells national books at rupees 18 per book and Incurs at loss of 10% whereas on selling the international books at Rs30 per book, he gains 20%. In what proportions should the national books and international books be mixed such that he can gain a profit of 25% by selling the combined books at Rs27.5 per book.          22

30) A milkmen has 20 litres of milk. if he mixes 5 litres of water, which is freely available in 20 litres of pure milk. if the cost of pure milk is Rs18 per litre, then the profit of the milkman when he sells all the mixture at cost price is.              25% p

31) In what ratio should water and soda be mixed that after selling the mixture at the cost price of profit of 33.33% is made ?                  1:3

32) A milkmen sells the milk at cost price but he mixes the water in it and thus he gains 9.09%. The quantity of water in the mixture of 1 litre is :                           83.33%

33) A dishonest grocer professes to sell pure milk at CP but he mixes it with adulterated fat and thereby gains 25%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available.                    20%

34) The price of petrol is Rs60 per litre and the price of oil is Rs40 per litre. In what ratio the petrol and oil be mixed such that the profit after selling the mixture at Rs75 per litre be 25%.               Such a mix is not possible

35) Two vessel contain milk and water. In 1st vessel milk is 90% in 2nd vessel milk is 40%. In what ratio should be mixed both these vessels to obtain a new mixture which contain 70% of milk.                3:2

36) Two vessel contain milk and water in the ratio 9:1 and 2:3. In what ratio should both vessels is mixed which contain milk and water in the ratio 7:3.        3:2

37) The ratio of water and wine in 2 different containers is 2:3 and 4:5. In what ratio we are required to mix the mixture of two containers in order to get the new mixture in which the ratio of wine and water be 7:5.          5:3

38) Two vessels contain spirit and water respectively in the ratio 1:3 and 3:5. find the ratio in which they are mixed to get a new mixture in which the ratio of spirit to water is 1:2.                     1:2

39) Two vessels contain a mixture of milk and water. In the first vessel the ratio of milk to water is 8:3 and in second vessel the ratio is 5:1. A 35 litre cask is filled from the these vessels so as to contain a mixture of milk and what in the ratio of 4:1. How many litres are taken from the 1st vessel.               11,24

40) Owais purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 3:4 and in the second mixture it is 5:6. If he mixes the two given mixture and makes a third mixture of 18 litre in which the ratio of alcohol to water is 4:5. The quantity of first mixture is required to make the 18 litres of the 3rd kind of the mixture is .                 7,11

41) A mixture of water and milk contain 80% of milk. In 50 litre of such a mixture, how many litres of water is required to increase percentage of water to 50% ?      30

42) In 25 l mixture of milk and water , water is only 20%. How many litre of water is required to increase the percentage of water to 90%.        175

43) A mix of 125 gallons of wine and water contains 20% wine. how much wine must be added to mix in order to increase the percentage of wine to 25% the new mixture?  8.33

44) A mix of 20 litres of milk and water contains 10% of water. how much water should be added to it to increase the percentage of water is 25%.          4

45) In the 75 l mixture of sod and water, ratio of soda and water is 4:1. The quantity of water required to make the ratio of soda and water 3:1 is.      75,5

46) The quantity of mixture of milk and water is 70l. this mix contains 10% of water. how many litre of water should you mixed in the mixture to make 25% water in the mixture.            14

47) In 50 l of water and milk mixture, water is 20%. The milkman gives 10 litre of this mix to a customer and than he adds up 10 l of pure water in the remaining mix. The percentage of water in the final mix is .     36%

48) The distilled alcohol contain 8l of alcohol and the rest is water. A new mixtur is which concentration of alcohol is 30% is to found by replacing diluted alcohol. how many litres mixture should be replaced with pure alcohol if there was initially 32 litre of water in the mixture.                   5

49) In a mixture milk and water there, there is only 26% of water. After replacing the mixture with 7 l of pure milk, the percentage of milk in the mix becomes 76%. The quantity of mixture is.            91l

50) The ratio for oil and kerosene in the container is 3:2 when 10 litres of mixture is taken out and replaced by kerosene, the ratio becomes 2:3. The total quantity of the mixture in the container is....       30

51) A bartender stole beer from a bottle that contained 50% of spirit and he replaced what he had stolen with beer having 20% spirit. The bottle then contained only 25% spirit. how much of the bottle did he steal .      83.33%

52) A butler stole wine from shop containing 50% spirit , then he replacing it by different wine containing 20% spirit. Thus there was only 30% spirit in the new mixture. how much of the original wine did he steal?            2/3

53) In wine 40% alcohol and rest is water. some quantity of wine taken out is replaced with same quantity of another wine containing 25% alcohol. Now the bottle contains 30% alcohol. find what percentage part of wine was taken out from bottle ?   2/3

54) in a wine 32% spirit, some quantity taken out and replaced with another type of that contains 18% spirit. Now the spirit in the bottle is 28%. find what part of the wine is taken out?         2/7

55) A vessel is full of 80 litre milk, 8 litre taken out and replaced by water. Again 8 later taken out and replaced by water. find the amount of milk in the final mixture so formed ?               64.8l

56) A 25 l cylinder contains mixture of Oxygen and nitrogen. In which oxygen is 36% of the mixture. some litters of the mix is taken out and replaced by nitrogen and this process is repeated one more time. At the end oxygen remained 9% of the mixture, find the quantity of mixture taken out at a time.          12.5

57) From the 50 l of pure milk , 5 litre milk is taken out and 5 litres water is added. This process is repeated 3 times, the amount of milk left after the third replacement.   36.45

58) From 200 l of tank of petrol, the seller replaces each time with kerosene when he sells 40 L of petrol (or its mixture ). Every time is sales out only 40 l petrol (pure or impure). After replacing the petrol with kerosin fourth time the total amount of kerosene in the mixture is...            118.08

59) A jar is full milk. A person draw out 20% of the milk from the jar and replaced it with sugar solution. He has repeated the same process four times and thus there was only 512gm of milk left in the jar, the rest part of the gas was filled with sugar solution. The initial amount of the milk in the Jar.          1250

60) A vessel is full of milk, 63 litre. If 9 liter milk is taken out and replaced by same amount of water and further 7 l mixture is taken out and replaced by same amount of water then find at the end of 2nd process the amount of water in the mixture?    15

61) A vessel is full of milk, 50 l of milk is taken out and replaced by water. this process repeated once more. find the initial amount of milk in the vessel if at the end the ratio of the milk and water becomes 16 :9.          75

62) From a container beer, a thief has told in 15 l of beer and replaced it with same quantity of water. He again repeated the same process. Thus in three attempts the ratio of the beer and water become 343: 169. The initial amount of beer in the container was.      120

63) Some amount out of Rs600 was lent out atn10% per annum and the rest amount at 20% per annum and thus in four years the total interest from both the amounts collected was Rs3400. What is the amount which was the lent out @ 10% per annum?      3500

64) Two vessels contain a mixture of milk and water in the ratio 1:2 and 2:3. If both vessels are mixed in ratio 1:1 then find the ratio of milk and water in new mixture.    11:19

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