MIXTURE AND ALLEGATION

1. In what ratio rice at Rs.76 per kg mixed with

3. In what ratio should sugar costing Rs. 40 per kg be mixed with sugar costing Rs. 48 per kg,
so asto earn a profit of 20% by selling the mixture at Rs. 54 per kg?

4. How many kg of rice costing Rs. 42 per kg shouldbe mixed with 7 ½ kg rice costing Rs. 50
per kgso that by selling the mixture at Rs. 53.10 per kg, there is a gain of 18%?

5. 15 kg coffee powder costing 2500 Rs./kg mixedwith 5 kg coffee powed costing X Rs./kg so
thatmixtures cost becomes 2250 Rs./kg. Find valueof x.

6. An alloy is made up by mixing 3 kg metal A costing X Rs./kg and 9 kg metal B costing 400
Rs./kg So that mixture Cost becomes 800 Rs./kg what is the value of x.

7. Saurav purchased 25 kg rice at Rs. 175 per kgand another 25 kg rice at certain rate. He
mixedtwo and sold the entire quantity at Rs.186 perkg and make 20% profit. At whatprice did
hepurchase another rice.

8. 7 kg of tea costing Rs. 280 per kg is mixed with 9kg of tea costing Rs. 240 per kg. The
average price per kg of the mixed tea is

9. An alloy is made by mixing metal A costing Rs.2000/kg. and metal B costing Rs. 400/kg in the
ratio A : B = 3 : 1. What is the cost (in Rs. ) of 8 kilograms of this alloy?

81. Two vessels of equal quantity contains the mixtureof milk and water in the ratio 5:3 and 2:1,
both,mixtures are in large vessels, then find the ratio of milk and water in new vessels.

82. Two vessels of 17 litre capacity is contains the mixture of milk and water in the ratio 11:4 and
7:5 both mixture are in the large vessels. What is the ratio of water and milk in new vessels.

83. 4 vessels of equal size contains mixture of sprit and water, the concentration of sprit in 4
vessels60%, 70%, 75%, 80% if all the 4 mixture are mixed,find the ratio of sprit to water in
resultant mixture.

84. Two vessels contains the mixture of milk and water in the ratio 7:5 and 5:3 both mixture are
mixed in the ratio 2:1 into a large vessels, then find the ratio of milk and water in new vessels.

86. Alloy A contains metals x and y only in the ratio 5: 2 and alloy B contains these metals in the
ratio 3: 4. Alloy C is prepared by mixing A and B in the ratio 4 : 5. The percentage of x in alloy C
is
87. X and Y are the two alloys which were made by mixing zinc and copper in the ratio 6 : 9 and
7 :11, respectively. If 40 g of alloy X and 60 g of alloy Y are melted and mixed to form another
alloy Z, then what is the ratio of zinc and copper in the new alloy Z?

92. A vessel is full of 60 let milk 12 lit milk taken out and replaced with water again 12 lit mixture
is replaced with water. Find ratio of milk to water in final mixture.

93. A vessel is full of 28 lit milk 7 lit milk is taken out and replaced with water this process is
repeated further two times find ratio of milk to
water in final mixture.

95. A vessel is full of milk, 15 litres of milk is taken out and replaced by water. This process if
repeated once more, find the initial amount of milk in the vessel if at the end the ratio of milk to
water becomes 16:9 ?

96. A vessel is full of milk, 8 litres of milk is taken out and replaced by water. This process if
repeated 3 times, find the initial amount of milk in the vessel if at the end the ratio of milk to
water becomes 16:65?

100. In 729 ml solution the ratio of milk and water is 7:2 how much quantity of water should be
added so that ratio become 7:3?

102. In 378 ml solution the ratio of milk and water is 9:5 how much quantity of water should be
added so that ratio become equal?

103. In 420 ml solution the ratio of milk and water is 9:5 how much quantity of water should be
added so that ratio become 3:2?

105. An alloy contains copper and tin the ratio 3 : 2.If 250 gm of copper is added to this alloy
thenthe copper in it becomes double the quantity oftin in it. What is the amount (in gm) of tin in
the alloy?

12. Average marks obtained by all students in a classis 49.85. If the average marks obtained by
pass students is 73.85 and failed students is 28.85. What is the ratio between pass to fail
students.

13. The average age of 95 student in a class is 16.8 yr if average age of boys 17.4 yr & average
age of girls 16.4. Find number of boys.
95

14. In a school, the average age of students is 6 years, and the average age of 12 teachers is
40 years. If the average age of the combined group of all the teachers and students is 7 years,
then the number of students is
15. The average salary of the entire staff in a office is 12000 per month. The average salary of
officers is 46000 and that of non-officers is
11000. If the number of officers is 15, then find
the number of non-officers in the office.

16. In a class, the average marks of boys and girls is A. The ratio of boys and girls is 3 : 1. If the
average marks obtained by boys is A + 1 then find the average marks obtained by girls?

22. The bowling average of a bowler in a certain inning 24.85 in his next inning he takes 5
wickets & gives 52 runs & his average improved by .85 then find number of wicket taken by him
before last match.

29. A man bought a horse and a carriage for Rs. 40,000. He sold the horse at a gain of 10%
and the carriage at a loss of 5%. He gained 1% on his whole transaction. The cost price of the
horse was

33. A man buy 20 pens and 16 penci ls for 360. He sells pens at profit of 40% and pencil
at profit of 25% his overall gain is 120. Find
cp of one pen.