Ratio and Proportion Practice Questions with Answers

We have already covered ratio and proportion in detail. Now it is time to test your understanding by solving different types of ratio and proportion practice questions in one place.

This practice set includes MCQs, quizzes, true or false questions, fill in the blanks, and word problems.

The questions cover important concepts such as ratios, proportions, unitary method, direct proportion, inverse proportion, time and work, speed and distance, ages, marks, population, and other exam-oriented applications.

Try to solve each question on your own before checking the answer. This will help you identify your strengths and the areas where you need more practice.

If you solve all the questions, you can send your answers or detailed solutions to contact@mathsbynitian.in. We will review them and provide feedback to help you improve your problem-solving skills.

Check our Practice Questions for SSC, RRB, Banking, Defence & Other Competitive Exams section for more questions to practice and build your math foundation.

Ratio and Proportion Practice Set: MCQs

Question 1:

At a railway station bookstall, the ratio of SSC books to RRB books is 4 : 5. If 180 RRB books are available, how many SSC books are available?

A. 120  B. 144  C. 150  D. 160

Question 2:

A coaching institute purchased blue and black marker pens in the ratio 7 : 3. If 210 blue markers were purchased, how many black markers were purchased?

A. 70  B. 80  C. 90  D. 100

Question 3:

Which of the following is equivalent to 18 : 24?

A. 2 : 5  B. 3 : 4  C. 4 : 7  D. 5 : 6

Question 4:

The ratio of boys to girls in a mathematics workshop is 9 : 11. If the total number of students is 200, how many girls are there?

A. 90  B. 100  C. 110  D. 120

Question 5: 

Which pair is in proportion?

A. 8 : 12 and 4 : 6  B. 5 : 9 and 2 : 5  C. 7 : 8 and 4 : 5  D. 6 : 11 and 3 : 7

Question 6:

Rahul is preparing for SSC CHSL and divides his daily study time among Mathematics, Reasoning, English, and General Awareness in the ratio 4 : 3 : 2 : 1. If he studies for 10 hours a day, how much time does he spend on Mathematics?

A. 3 hours  B. 4 hours  C. 5 hours  D. 6 hours

Question 7

At a coaching institute in Mukherjee Nagar, the ratio of students preparing for SSC CGL and RRB NTPC is 7 : 5. If there are 240 students in total, how many students are preparing for SSC CGL?

A. 120  B. 130  C. 140  D. 150

Question 8

A train travels from Delhi to Kanpur. At a speed of 75 km/h, it takes 6 hours to complete the journey. If the speed is increased to 90 km/h, how much time will the journey take?

A. 4.5 hours  B. 5 hours  C. 5.5 hours  D. 6 hours

Question 9

A study room near Unnao Railway Station has SSC, RRB, and Banking books in the ratio 5 : 3 : 2. If the room has 400 SSC books, how many books are there in total?

A. 600  B. 700  C. 800  D. 900

Question 10

Priya is preparing for RRB JE and solves Mathematics and Reasoning questions in the ratio 8 : 5. If she solved 104 questions in total, how many Mathematics questions did she solve?

A. 56  B. 64  C. 72  D. 80

Question 11

A branch of State Bank of India (SBI) has ₹10, ₹20 and ₹50 notes in the ratio 4 : 5 : 3. If there are 240 notes in total, how many ₹20 notes are there?

A. 80  B. 90  C. 100  D. 120

Question 12

An RRB NTPC coaching centre has enough drinking water for 60 students for 12 days. If the number of students increases to 90, for how many days will the water last?

A. 6 days  B. 8 days  C. 10 days  D. 12 days

Question 13

A candidate preparing for Bank PO spends money on Books, Mock Tests and Internet in the ratio 5 : 3 : 2. If his total monthly expense is ₹8,000, how much does he spend on Mock Tests?

A. ₹2,000  B. ₹2,400  C. ₹3,000  D. ₹4,000

Question 14

A classroom in Lucknow has boys and girls in the ratio 9 : 7. If there are 288 students in the classroom, how many girls are there?

A. 112  B. 126  C. 144  D. 168

Question 15

An aspirant in Mukherjee Nagar purchases SSC CGL and Banking books in the ratio 3 : 4. If he buys 21 books in total, how many Banking books does he buy?

A. 9  B. 10  C. 12  D. 15

Question 16

In an SSC CGL mock test, Amit and Neha obtained marks in the ratio 7 : 9. If Neha scored 24 marks more than Amit, what was Amit’s score?

A. 72  B. 84  C. 96  D. 108

Question 17

At Tata Steel, Jamshedpur, the ratio of Mechanical Engineers to Electrical Engineers is 5 : 4. If 18 more Electrical Engineers are recruited, the ratio becomes 5 : 5. How many Mechanical Engineers are there?

A. 72  B. 80  C. 90  D. 100

Question 18

An SSC office building has two water pumps. Pump A can fill a tank in 8 hours and Pump B can fill the same tank in 12 hours. Working together, what fraction of the tank will they fill in 2 hours?

A. 1/3  B. 5/12  C. 7/12  D. ¾

Question 19

At the UPSC building, the ratio of the area occupied by the main building to the surrounding garden is 3 : 7. If the total area is 25,000 m², what is the area of the garden?

A. 15,000 m²  B. 16,500 m²  C. 17,500 m²  D. 20,000 m²

Question 20

The salary ratio of a Director and an employee of a company is 9 : 2. If the difference between their salaries is ₹1,40,000 per month, what is the Director’s monthly salary?

A. ₹1,60,000  B. ₹1,80,000  C. ₹2,00,000  D. ₹2,20,000

Question 21

A Meerut Metro train travels a fixed distance in 45 minutes at a certain speed. If the speed is increased in the ratio 5 : 6, how much time will it take?

A. 35 min  B. 37.5 min  C. 40 min  D. 42 min

Question 22

The ratio of tourists visiting Nainital Lake in January and February is 4 : 5. If February had 2,500 more tourists than January, how many tourists visited in February?

A. 10,000  B. 11,500  C. 12,500  D. 15,000

Question 23

The ratio of adult tigers to cubs in the Jaipur Zoo White Tiger Enclosure is 7 : 3. If 8 cubs are added and the ratio becomes 7 : 5, how many adult tigers are there?

A. 21  B. 28  C. 35  D. 42

Question 24

The ratio of boating revenue collected from two sections of Fateh Sagar Lake, Udaipur is 5 : 7. If ₹48,000 is transferred from the second section to the first, the revenues become equal. What was the original revenue of the second section?

A. ₹1,20,000  B. ₹1,68,000  C. ₹1,92,000  D. ₹2,40,000

Question 25

Visitors entering Bada Imambara, Lucknow through Gate A and Gate B are in the ratio 11 : 9. If 400 additional visitors enter through Gate B, the ratio becomes 11 : 10. How many visitors entered through Gate A originally?

A. 4,400  B. 4,800  C. 5,000  D. 5,500

Question 26

The ratio of girls in Chemical Engineering, Mining Engineering, and Ceramic Engineering at NIT Rourkela is 5 : 3 : 2. If there are 150 girls in Chemical Engineering, how many girls are there in all three branches together?

A. 250  B. 300  C. 350  D. 400

Question 27

In an examination, Rahul and Priya scored marks in the ratio 13 : 17. If Rahul had scored 24 more marks, the ratio would become 15 : 17. What were Rahul’s original marks?

A. 104  B. 120  C. 156  D. 168

Question 28

A reservoir near Nainital Lake can supply water to 600 families for 20 days. After 200 additional families move into the area, for how many days will the water last?

A. 12  B. 15  C. 16  D. 18

Question 29

The ratio of SSC aspirants to Bank PO aspirants at a coaching centre is 8 : 7. After 45 SSC aspirants leave, the ratio becomes 5 : 7. How many SSC aspirants were there originally?

A. 120  B. 135  C. 180  D. 225

Question 30

The ratio of marks obtained by three candidates in a government recruitment examination is 4 : 5 : 7. If the difference between the highest and lowest scores is 54 marks, what is the highest score?

A. 108  B. 126  C. 144  D. 189

Ratio and Proportion Practice Set – Quiz

Question 1:

The ratio of boys to girls in an SSC coaching batch is 5 : 7. If there are 60 boys, how many girls are there?

A. 72  B. 84  C. 96  D. 108

Question 2: 

The ratio of RRB NTPC books to RRB JE books in a library is 4 : 3. If there are 280 books in total, how many RRB JE books are there?

A. 100  B. 120  C. 140  D. 160

Question 3:

Rahul and Mohit obtained marks in the ratio 7 : 9 in a government examination. If Mohit scored 30 marks more than Rahul, what were Rahul’s marks?

A. 90  B. 105  C. 120  D. 135

Question 4:

The present ages of a father and his son are in the ratio 6 : 1. After 10 years, their ages will be in the ratio 4 : 1. What is the son’s present age?

A. 5 years  B. 8 years  C. 10 years  D. 12 years

Question 5:

A Bank PO aspirant spends his monthly study time on Quantitative Aptitude, Reasoning, and English in the ratio 5 : 4 : 3. If he studies English for 60 hours in a month, how many hours does he study in total?

A. 180  B. 200  C. 220  D. 240

Question 6:

The population of the two towns is in the ratio 5 : 7. If the population of the first town increases by 20% and that of the second town increases by 10%, the ratio becomes 4 : 5. Find the original population of the first town if the second town originally had 35,000 people.

A. 20,000  B. 25,000  C. 30,000  D. 32,000

Question 7: 

An NDA candidate travels from Lucknow to Delhi. If he increases his speed in the ratio 4 : 5, his travel time decreases by 2 hours. What was his original travel time?

A. 6 hours  B. 8 hours  C. 10 hours  D. 12 hours

Question 8:

Pump A can fill a tank in 6 hours and Pump B can fill the same tank in 9 hours. If both pumps work together, how much of the tank will be filled in 2 hours?

A. 4/9  B. 5/9  C. 7/9  D. 8/9

Question 9: 

In an Agniveer training batch, the ratio of Army, Navy, and Air Force candidates is 4 : 5 : 6. If 20 Army candidates leave and 10 Navy candidates join, the ratio becomes 3 : 5 : 6. How many Army candidates were there originally?

A. 60  B. 80  C. 100  D. 120

Question 10: 

In direct proportion, if one quantity doubles, the corresponding quantity also doubles. 

True or False

Question 11:

If 20 workers complete a task in 10 days, then 40 workers will complete the same task in 20 days.

True or False

Question 12

If two quantities vary in opposite directions, they are said to be in inverse proportion.

True or False

Ratio and Proportion Practice Set : Fill in the Blanks

Question 1

If the ratio of SSC aspirants to RRB aspirants is 7 : 5 and there are 140 SSC aspirants, then the number of RRB aspirants is _____.

Question 2

The ratio 18 : 24 in simplest form is _____ : _____.

Question 3

If 8 : x = 12 : 18, then the value of x = _____.

Question 4

The ratio of Mathematics books to Reasoning books in a coaching library is 5 : 3. If there are 250 Mathematics books, then there are _____ Reasoning books.

Question 5

If the Shatabdi Express Train travelling from Delhi to Kanpur takes 6 hours at a speed of 75 km/h, then at a speed of 90 km/h it will take _____ hours.

Question 6

If 20 workers complete a road construction project in 4 days, then 10 workers will complete the same project in _____ days.

Question 7

The statement

6 : 9 = 4 : 6

is a _____.

Question 8

If the ratio of Army, Navy and Air Force candidates in an Agniveer batch is 4 : 5 : 6 and there are 60 Air Force candidates, then the total number of candidates is _____.

Question 9

If the population of two towns is in the ratio 3 : 5 and the total population is 24,000, then the population of the larger town is _____.

Question 10

In inverse proportion,

X ∝ _____

Ratio and Proportion Practice Set : Word Problems:

Question 1

At MathsByNITian, the ratio of students preparing for SSC and RRB examinations is 4 : 5. If there are 180 RRB students, how many SSC students are there?

Question 2

A candidate preparing for SSC ASO and Income Tax Inspector examinations divides his daily study time in the ratio 3 : 2. If he spends 4 hours on Income Tax Inspector preparation, how many hours does he spend on SSC ASO preparation?

Question 3

The distance between Jamshedpur and Rourkela is represented as 6 cm on a map drawn to a scale of 1 : 50,00,000. Find the actual distance in kilometres.

Question 4

A group of students preparing for SSC, RRB, and Bank PO examinations are in the ratio 5 : 4 : 3. If there are 60 Bank PO aspirants, find the total number of students.

Question 5

A Loco Pilot of Tejas Express travels 360 km in 4 hours. At the same speed, how far will the train travel in 7 hours?

Question 6

The ratio of successful candidates selected as SSC ASO and Income Tax Inspector is 7 : 5. If 96 more candidates are selected as ASO than Income Tax Inspector, find the number selected as ASO.

Question 7

The ratio of students enrolled in SSC, RRB, and Banking batches at MathsByNITian is 6 : 5 : 4. If 40 students leave the SSC batch, the ratio becomes 4 : 5 : 4. Find the original number of SSC students.

Question 8

The ratio of scientists working on Moon Research and Mars Research at ISRO is 9 : 7. If 48 additional scientists join the Mars Research team, the ratio becomes 9 : 9. How many scientists were originally working on Moon Research?

Question 9

The ratio of passengers travelling by Tejas Express and Bhopal Shatabdi Express is 5 : 7. If the total number of passengers is 2,400, find the number travelling by Bhopal Shatabdi Express.

Question 10

A coaching institute records the ratio of correct answers to incorrect answers in a mock SSC examination as 11 : 4. If a student answered 225 questions in total, how many questions were answered incorrectly?

Question 11

Binit Kumar invested his study time among Mathematics, Reasoning, English, and General Awareness in the ratio 5 : 4 : 3 : 2. If he studied General Awareness for 90 hours in a month, how many total hours did he study during the month?

Question 12

The ratio of the speeds of Tejas Express and the proposed Mumbai–Ahmedabad Bullet Train is 4 : 7. If Tejas Express covers a route in 14 hours, how long would the Bullet Train take to cover the same route at its speed?

Question 13

During a Chandrayaan Mission simulation, the ratio of fuel allocated for launch, orbit insertion, and landing stages was 8 : 5 : 3. If 2,400 units of fuel were allocated for landing, find the total fuel allocated for the mission.

Question 14

An SSC examination paper contained some arbitrary general awareness questions such as the heights of Deepika Padukone and Katrina Kaif. The ratio of students answering these questions correctly to those answering them incorrectly was 13 : 7. If 1,600 students appeared in the examination, how many answered those questions correctly?

Question 15

Scientists at ISRO estimate that a spacecraft travelling to the Moon and Mars spends travel time in the ratio 1 : 180. If the journey to the Moon takes 4 days, estimate the travel time to Mars in days according to this ratio.

Resources Related to Ratio and Proportion

1. Ratio and Proportion
2. Basic Ratio Questions & Answers
3. Ratio Word Problems with Answers
4. Ratio Formula with Examples and Explanations
5. Inverse Proportion Questions & Answers with Solutions
6. Direct Proportion Questions and Answers
7. Unitary Method Questions and Answers with Solutions
8. Proportion Questions and Answers with Solutions
9. Ratio and Proportion PYQs SSC, RRB, Banking & Defence Exams (Solved)

Answer Keys:

MCQs.

Quiz

Fill in the Blanks

Word Problems

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