ALLIGATION OR MIXTURES

[1] Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
A. Rs. 169.50
B. Rs. 170
C. Rs. 175.50
D. Rs. 180
Ans - C

[2] A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
A. 10
B. 20
C. 21
D. 25
Ans - C

[3] A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
A. 4 litres, 8 litres
B. 6 litres, 6 litres
C. 5 litres, 7 litres
D. 7 litres, 5 litres
Ans - B

[4] In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
A. 3 : 7
B. 5 : 7
C. 7 : 3
D. 7 : 5
Ans - C

[5] How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
A. 36 kg
B. 42 kg
C. 54 kg
D. 63 kg
Ans - D

[6] A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
A. 26.34 litres
B. 27.36 litres
C. 28 litres
D. 29.16 litres
Ans - D

[7] In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price?
A. 1 : 6
B. 6 : 1
C. 2 : 3
D. 4 : 3
Ans - A

[8] Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
A. 1 : 3
B. 2 : 3
C. 3 : 4
D. 4 : 5
Ans - B

[9] In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
A. 3 : 2
B. 3 : 4
C. 3 : 5
D. 4 : 5
Ans - A

[10] The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:
A. Rs. 18
B. Rs. 18.50
C. Rs. 19
D. Rs. 19.50
Ans - A