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Worksheets

Mixture , allegation & ratio-proportion

Total questions: 19

Worksheet time: 14mins

Name
Class
Date
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(in Rs.):

a)

168

b)

170

c)

175

d)

175.5

2.

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

3.

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 (in Rs.):

a)

18

b)

18.5

c)

19

d)

19.5

4.

A Container contains 192 liter of Milk. A seller draws out x% of Milk and replaced it with the same quantity of water. He repeated the same process for 3 times. And thus Milk content in the mixture is only 81 liter. Then how much percent he withdraw every time?

a)

10%

b)

15%

c)

25%

d)

20%

5.

A Jar contains 30 liters mixture of Milk and Water in the ratio of x:y respectively. When 10 liter of the mixture is taken out and replaced it water, then the ratio becomes 2:3. Then what is the initial quantity of Milk in the Jar?

a)

18 liter

b)

20 liter

c)

19 liter

d)

21 liter

6.

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

a)

400 kg

b)

560 kg

c)

600 kg

d)

640 kg

7.

Mr Flood records that 48% of his class do their homework on time. What decimal represents the percent of students who hand it in late.

a)

0.62

b)

0.48

c)

0.052

d)

0.52

8.

The ratio of numbers of girls and boys participating in sports of a school is 4:5. If the number of girls is 153, determine the number of boys participating in the sports.

a)

68

b)

78

c)

85

d)

45

9.

In an 8 round tennis tournament Petru wins 3, draws 1 and loses the rest. What is his ratio of wins : lose : draw ?

a)

3 : 1 : 4

b)

4 : 3: 1

c)

3 : 4 : 1

d)

4 : 1 : 3

10.

Anmol had 10 paise and 50 paise coins in the ratio of 10:8:9 respectively. After giving Rs. 20 his mother he has Rs. 40. How many 50 paise coins did he have?

a)

72

b)

60

c)

56

d)

21

11.

The ratio of Nicotine to Heroine in four types of drugs of equal quantity is 2:3, 3:7, 4:11 and 11:9 respectively. The four drugs are mixed together. What is the ratio of Nicotine to Heroine after mixing?

a)

213:91

b)

418:189

c)

91:149

d)

149:81

12.

Out of three positive numbers, the ratio of the first and the second numbers is 3 : 4 that of the second and the third numbers is 5 : 6 if the product of the second and the third numbers is 4320. What is the sum of three numbers?

a)

177

b)

165

c)

185

d)

160

13.

The cost price of 2 shirts and 3 jeans is Rs. 2200 and the cost price of 2 jeans and 4 shirts is Rs. 2400. Find the ratio between the cost price of the jeans and the shirt.

a)

8:9

b)

10:7

c)

6:9

d)

2:5

14.

The ratio of zinc and copper in a brass pieces is 13 : 7. How much zinc will be there in 100 kg of such a piece?

a)

20 kg

b)

34 kg

c)

65 kg

d)

60 kg

15.

The ratio of number of men and women in a factory of 720 workers is 7 : 5. How many more women should be joined to make the ratio 1 : 1?

a)

80

b)

100

c)

123

d)

120

16.

What is the ratio whose terms differ by 40 and the measure of which is 2/7 ?

a)

16:56

b)

12:56

c)

13:56

d)

15:56

17.

Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B is

a)

2:3

b)

5:9

c)

7:3

d)

4:3

18.

In the income statement of Asha and Ravenna, the ratio of their income in the year 2017 was 5 : 4. The ratio of Asha’s income in the year 2018 to that in 2017 is 3 : 5 and the ratio of Ravenna’s income in the year 2018 to that in 2017 is 3 : 2. If Rs. 10242 is the sum of the income of Asha and Ravenna in the year 2018, then find the income of Ravenna in the year 2017?

a)

Rs. 2300

b)

Rs. 4552

c)

Rs. 7640

d)

none of these

19.

The average score in an examination taken by 52 students of a class is 85. If the scores of the best 5 performers are not considered, the average score of the remaining students falls by 2. If, none of the first five highest scorers is not below 80 and if each of the 5 top scorers had distinct integral scores, find the maximum possible score of the topper.

a)

183

b)

163

c)

173

d)

193