Ratio proportions is an important topic in the Quantitative section of the Aptitude exam. Questions in this section are framed in a concept-oriented way. So, make sure that you practice different level of questions in order to have flexibility while solving problems related to this concept.

Important topics covered in this section are the basics of Ratio and proportion, comparing ratio questions, etc. To make your preparation easy we have compiled the most important 20 questions from this topic. Make sure you dedicate considerable time to solve these questions with integrity.

We assume that you have completed Decimal Fractions practice before coming to this page if not make sure you solve questions from Decimal Fractions first. Second, after you complete this section solve questions from Simplification Aptitude.

If you are already thorough with all the concepts of quantitative aptitude then move on to reasoning ability and verbal ability.

Q1

The ratio of the number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1?

Level 1
Ratio and Proportion
Introduction

A

90

B

120

C

220

D

240

Q2

If \(W_{1}\) : \(W_{2}\) = 2 : 3 and \(W_{1}\) : \(W_{3}\) = 1 : 2, then \(W_{2}\) : \(W_{3}\) is

Level 1
Ratio and Proportion
Introduction

A

3 : 4

B

4 : 3

C

2 : 3

D

4 : 5

Q3

What will be the simplest form of the ratio 3 hours : 1 day?

Level 1
Ratio and Proportion
Introduction

A

1 : 3

B

1 : 6

C

1 : 8

D

1 : 25

Q4

Raj and Suraj bought a bottle of water together in which there was 2 litres of water. Raj drank \(\frac{1}{4}\)th part of it. The rest water was drunk by Suraj. Find the amount of water used by Suraj.

Level 1
Ratio and Proportion
Introduction

A

1.5 litres

B

0.5 litres

C

2.5 litres

D

2 litres

Q5

What is the difference between the ages of Sumit and Dinesh?

I. The ratio of their ages is 7 : 9 respectively.

II. Five years hence the sum of their ages will be 58 years.

Level 1
Ratio and Proportion
Comparing Ratio Questions

A

If the data in statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question

B

If the data in statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question

C

If the data either in Statement I or in Statement II alone are sufficient to answer the question

D

If the data even in both Statements I and II together are not sufficient to answer the question

E

If the data in both statements I and II together are necessary to answer the question

Q6

Vipin's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vipin's salary?

I. Javed's salary is 75% that of Vipin's salary.

II. Javed's salary is Rs.4500

Level 1
Ratio and Proportion
Comparing Ratio Questions

A

If the data in statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question

B

If the data in statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question

C

If the data either in Statement I or in Statement II alone are sufficient to answer the question

D

If the data even in both Statements I and II together are not sufficient to answer the question

E

If the data in both statements I and II together are necessary to answer the question

Q7

Two numbers are in the ratio 1\(\frac{1}{2}\) : 2\(\frac{2}{3}\). When each of these is increased by 15, their ratio becomes 1\(\frac{2}{3}\) : 2\(\frac{1}{2}\). The greater of the numbers is

Level 1
Ratio and Proportion
Comparing Ratio Questions

A

27

B

36

C

48

D

64

Q8

If x:y= 3:4, then (2x+3y) : (3y-2x) would be equal to

Level 1
Ratio and Proportion
Comparing Ratio Questions

A

2 : 1

B

3 : 1

C

3 : 2

D

21 : 1

Q9

Initially two cups of same volume are filled with milk upto \(\frac{3}{5}\)th and \(\frac{4}{5}\)th of their volumes. Water is then filled. Then two mixtures are mixed and poured into a jug. Find the ratio of water to milk in the mixture.

Level 2
Ratio and Proportion
Unknown Proportions

A

3:7

B

7:3

C

4:7

D

7:4

Q10

A person spends Rs.8100 in buying some tables at Rs.1200 each and some chairs at Rs.300 each. The ratio of the number of chairs to that of tables when the maximum possible number of tables is purchased, is

Level 2
Ratio and Proportion
Unknown Proportions

A

1:2

B

1:4

C

2:1

D

5:7

Q11

What is the population of the city A?

I. The ratio of the population of males and females in city A is 27 : 23 and the difference between their populations is 100000.

II. The population of city A is 80% of that of city B. The difference of population of city A and city B is 312500.

Level 2
Ratio and Proportion
Unknown Proportions

A

If the data in statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question

B

If the data in statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question

C

If the data either in Statement I or in Statement II alone are sufficient to answer the question

D

If the data even in both Statements I and II together are not sufficient to answer the question

E

If the data in both statements I and II together are necessary to answer the question

Q12

Ratio of the earnings of A and B is 4:7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earning becomes 8:7. What are A's earnings?

Level 2
Ratio and Proportion
Increment Ratio Questions

A

Rs. 21000

B

Rs. 26000

C

Rs. 28000

D

Data inadequate

Q13

Cost of diamond varies directly as the square of its weight. A diamond broke into four pieces with their weights in the ratio 1:2:3:4. If the loss in the total value of the diamond was Rs.70000, find the price of the original diamonds.

Level 2
Ratio and Proportion
Divide or Distribute Questions

A

Rs.1000

B

Rs.1000000

C

Rs.10000

D

Rs.100000

Q14

Mrs.Richi Rich inherits 3224 gold coins and divides them amongst her 3 daughters Lalitha, Palita and Salita in a certain ratio. Out of the total coins each of them received, Lalita sells her 50 coins, Palita donated 85 of her coins and Salita makes jewellery out of her 39 coins. Now the ratio of gold coins with them is 24 : 21 : 16 respectively. How many coins did Lalita receive from her mother?

Level 2
Ratio and Proportion
Divide or Distribute Questions

A

1050

B

1135

C

1200

D

1250

E

None of these

Q15

Rs.600 are divided among A,B,C so that Rs.40 more than \(\frac{2}{5}\) of A's share, Rs.20 more than \(\frac{2}{7}\) of B's share and Rs.10 more than \(\frac{9}{17}\) of C's share may all be equal. What is A's share?

Level 2
Ratio and Proportion
Divide or Distribute Questions

A

Rs.150

B

Rs.170

C

Rs.200

D

Rs.280

Q16

Rs.600 are divided among A,B,C so that Rs.40 more than \(\frac{2}{5}\) of A's share, Rs.20 more than \(\frac{2}{7}\) of B's share and Rs.10 more than \(\frac{9}{17}\) of C's share may all be equal. What is A's share?

Level 2
Ratio and Proportion
Divide or Distribute Questions

A

Rs.150

B

Rs.170

C

Rs.200

D

Rs.280

Q17

A dealer buys dry fruit at the rate of Rs.100, Rs.80 and Rs.60 per kg. He bought them in the ratio 12 : 15 : 20 by weight. He in total gets 20% profit by selling the first two and at last he finds he has no gain no loss in selling the whole quantity which he had. What was the percentage loss he suffered for the third quantity?

Level 3
Ratio and Proportion
Comparing Ratio Questions

A

20%

B

30%

C

40%

D

50%

Q18

Railway fares of 1st, 2nd and 3rd classes between two stations were in the ratio of 8 : 6 : 3. The fares of 1st and 2nd class were subsequently reduced by \(\frac{1}{6}\) and \(\frac{1}{12}\) respectively. If during a year the ratio between the passengers of 1st, 2nd and 3rd classes was 9 : 12 : 26 and the total amount collected by the sale of tickets was Rs.1088, then find the collection from the passengers of 1st class.

Level 3
Ratio and Proportion
Comparing Ratio Questions

A

Rs.260

B

Rs.280

C

300

D

Rs.320

Q19

The weights of two persons A and B are in the ratio of 3 : 5. A's weight increases by 20% and the total weight of A and B together becomes 80 kg, with an increase of 25%. By what percent did the weight of B increase?

Level 3
Ratio and Proportion
Increment Ratio Questions

A

20%

B

25%

C

28%

D

30%

Q20

In a mixture of three varieties of tea, the ratio of their weights is 4:5:8. If 5 kg tea of the first variety, 10 kg tea of the second variety and some quantity of tea of the third variety are added to the mixture, the ratio of the weights of three weights of three varieties of tea becomes 5:7:9. Find the quantity of the third variety of tea in the final mixture.

Level 3
Ratio and Proportion
Divide or Distribute Questions

A

5

B

9

C

45

D

None of the above

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5

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9

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