Free Printable Alligation and Mixtures

1.

In what ratio must a grocer mix two varieties of cereals costing ₹15 and ₹20 respectively so as to get a mixture worth ₹16.50 per kg ?

a)

3: 7

b)

5 : 7

c)

7 : 3

d)

7:5

2.

Find the ratio in which rice at ₹7.20 a kg be mixed with rice at ₹5.70 a kg to produce a mixture worth ₹6.30 a kg.

a)

1:3

b)

2:3

c)

3 : 4

d)

4 : 5

3.

In what ratio must tea at ₹62 per kg be mixed with tea at ₹72 per kg so that the mixture must be worth ₹64.50 per kg?

a)

3 : 1

b)

3 : 2

c)

4 : 3

d)

5 : 3

4.

In what ratio must water be mixed with milk costing ₹12 per litre to obtain a mixture worth of ₹8 per litre?

a)

1:2

b)

2:1

c)

2 :3

d)

3 :2

5.

The cost of Type 1 rice is ₹15 per kg and Type 2 rice is ₹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)

₹18

b)

₹18.50

c)

₹19

d)

₹19.50

6.

In what ratio must a grocer mix two varieties of tea worth ₹60 a kg and ₹65 a kg so that by selling mixture at ₹68.20 a kg he may gain 10%?

a)

3 :2

b)

3 : 4

c)

3 : 5

d)

4 : 5

7.

How many kilograms of sugar costing ₹9 per kg must be mixed with 27 kg of sugar costing ₹7 per kg so that there may be a gain of 10% by selling the mixture at ₹9.24 per kg?

a)

36 kg

b)

42 kg

c)

54 kg

d)

63 kg

8.

In what ratio must water be mixed with milk to gain $16\ \frac{2}{3}\%$ on selling the mixture at cost price?

a)

1 : 6

b)

6 : 1

c)

2 :3

d)

4 : 3

9.

A dishonest milkman professes to sell milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is

a)

4%

b)

$6\ \frac{1}{4}\%$

c)

20%

d)

25%

10.

Two vessels A and B contain spirit and water mixed in the ratio 5 :2 and 7:6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5?

a)

a. 4 : 3

b)

b. 3 : 4

c)

c. 5 :6

d)

d. 7 : 9

11.

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 is found to be 26%. the quantity of whisky replaced is

a)

1/3 part

b)

2/3 part

c)

2/5 part

d)

3/5 part

12.

Two vessels And B contain milk and water mixed in the ratio 8 : 5 and 5 :2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing $69\ \frac{2}{3}\%$ milk is

a)

2 : 7

b)

3 : 5

c)

5 : 2

d)

5 : 7

Alligation and Mixtures

Total questions: 12

Worksheet time: 6mins

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