Ratio and Proportion Questions for Bank Exams

Ratio and Proportion are fundamental mathematical concepts frequently tested in bank exams. These questions often involve comparing quantities, finding missing values, or applying properties of ratios and proportions. Understanding the basic principles of ratios (comparing two quantities) and proportions (equality of two ratios) is crucial.

Ratio and Proportion Questions for Bank Exams

Ratio and Proportion Questions for Bank Exams play a vital role in the overall selection process of the bank examination that is conducted for the clerical and officer posts. Typical these question formats include direct and inverse proportions, compound proportions, and problems involving partnership, time and work, and pipes and cisterns. Practice solving a variety of ratio and proportion problems to enhance your problem-solving skills and improve your chances of success in bank exams.

1. If the incomes of Arun and Varun are in the ratio 5: 7 and their expenditure are in the ratio 3: 4, then find the ratio of their savings.

A. 3: 5

B. 2: 5

C. 5: 7

D. Can’t be determined

E. None of these

Answer: D

2. The number of employees in a company is reduced in the ratio 3: 2 and the salary of each employee is increased in the ratio 4: 5. By doing so, the company saves Rs. 12,000.So, find the initial expenditure of the company on salary.

A. Rs. 72000

B. Rs. 62000

C. Rs. 82000

D. Rs. 52000

E. None of these

Answer: A

3. The annual incomes of Amit and Veeru are in the ratio 3: 2, while the ratio of their expenditure is 5 : 3. If at the end of the year, each saves ₹ 1,000, the annual income of Amit is

A. Rs. 9000

B. Rs 8000

C. Rs. 7000

D. Rs. 6000

E. None of these

Answer: D

4. The average age of four friends Reena, Sandhya, Yamini, and Sujata is 21 years. The sum of the age of Reena and Sandhya is 14 years more than the age of Sujata. Thedifference between the age of Sujata and Sandhya is 4 years the difference between the age of Sujata and Reena is 6 years. Find the average age of Reena, Sandhya and
Yamini after 3 years.

A. 22 years

B. 25 years

C. 21 years

D. 23 years

E. 26 years

Answer: D

5. Rs.99,000 is to be divided between A, B and C. The ratio of the share of A and B is 3: 7.The share of B is 5/7th the share of C. What is the difference between shares of A and C?

A.Rs. 34000

B. Rs. 15000

C. Rs. 35000

D. Rs. 49000

E. None of these

Answer: A

6. Marks obtained by Mohan in Hindi and English are in the ratio of 4: 5, respectively, while the ratio of marks obtained by Mohan in Maths and Science is 5: 6, respectively. He scored 36 marks more in Science than in English, and 32 marks more in Maths than in Hindi. Find the ratio of marks obtained by Mohan in Hindi and Science.

A. 5: 6

B. 6: 7

C. 2 : 3

D. 1: 2

E. 4: 5

Answer: D

7. The income of Suresh and Rakesh are in the ratio 5: 4 and their expenditure are in the ratio 3: 2. If each saves Rs. 6000, then Suresh’s income can be:

A. Rs. 12000

B. Rs. 15000

C. Rs. 16000

D. Rs. 10000

E. None of these

Answer: B

8. 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: 5

D. 11: 10

E. None of these

Answer: B

9. A shopkeeper has a number of apples and oranges in the ratio 11: 17. He has to pack both the fruits are in a certain number of boxes such that each box contains an equal number of apples and an equal number of oranges. If the difference between the numbers of fruits of two varieties in a box are 72, and the number of boxes is 16, what is the total number of fruits?

A. 5440

B. 5376

C. 5200

D. 2240

E. None of these

Answer: B

10. A child paints a sphere with two colors yellow and blue making the ratio of yellow and blue area 1 : 3. If the ratio of yellow and blue area in the upper hemisphere is 4 : 9, the yellow area in the lower hemisphere is what percent of the blue area in the lower hemisphere?

A. 17.89%

B. 24.45%

C. 21.17%

D. 23.81%

E. None of these

Answer: D

11. The monthly incomes of two persons are in the ratio of 4: 5 and their monthly expenditures are in the ratio of 7: 9. If each saves 50 a month, then what are their monthly incomes?

A. Rs. 400, Rs 500

B. Rs 200, Rs 250

C. Rs 100, Rs 125

D. Rs 300, Rs 375

E. None of these

Answer: A

12. Madhu has three friends; Sonam, Divya, and Radha. The ratio of monthly income of Sonam and Divya is 5: 6 respectively and the ratio of the monthly income of Radha and Divya is 4: 3 respectively. The monthly income of Madhu is twice that of the total monthly income of all her three friends. If monthly income of Madhu is Rs 26600 then what is the highest monthly income of any of her friends?

A. Rs. 5500

B. Rs. 5600

C. Rs. 4600

D. Rs. 5400

E. Rs. 5800

Answer: B

13. Gajodhar and Manohar’s salary ratio was 3: 4 one year ago. The ratio of their individual salaries between last year’s and this year’s salaries are 4: 5 and 2 : 3 respectively. At present the total of their salary is 4160. The present salary of Gajodhar is?

A. 1200

B. 1400

C. 1600

D. 1800

E. None of these

Answer: C

14. A certain sum of money was divided among P, Q, and R in a certain way. Q received one-third of what P and R together did and P got one-fourth of what Q and R together did. Find the ratio of shares of P, Q, and R respectively.

A. 5 : 4: 11

B. 4: 5: 11

C. 5: 11: 4

D. 11: 4: 5

E. None of these

Answer: B

15. Sweeta is 10 years younger than her sister Seema who was 14 years old when her mother was 34 years old. The ratio of the ages of the mother and Sweeta after 6 years will be 2: 1. After how many years the average of their ages will be 39.33 years?

A. 3 years

B. 2 years

C. 4 years

D. 1 year

E. 5 years

Answer: B

16. A man divides Rs. 125000 among his 4 wives. 2 times the share of the first wife, 3 times the share of the second wife, 4 times the share of the third wife, and 6 times the Share of the fourth wife is equal. Find the amount received by the third wife.

A. Rs. 20000

B. Rs. 30000

C. Rs. 35000

D. Rs. 40000

E. Rs. 25000

Answer: E

17. 4 years ago, the ratio of the age of two friends Virat and Dinesh was 3: 1. Their present ages differ by 4 years. Find the average of their ages, after 2 years.

A. 12 years

B. 14 years

C. 11 years

D. 13 years

E. 10 years

Answer: E

18. The present age of Arjun and Radhika is in the ratio 3 : 2 respectively. 9 years ago, the ratio of age of Arjun and Shyam was 4 : 5 respectively and Radhika was 10 years younger than Shyam. What will be the ratio of age of Arjun and Shyam after 3 years?

A. 5: 8

B. 4: 5

C. 8: 9

D. 3: 4

E. 7: 9

Answer: C

19. 5 years hence, the age of Deepika will be 5 years more than the age of Alia. The ratio of the the present age of Deepika to that of Alia is 7:6. What will the age of Deepika and Alia after 6
years?

A. 44, 39

B. 42, 37

C. 41, 36

D. 38, 33

E. 40, 35

Answer: C

20. The ratio between the percentage value of X part of Revati’s daily wages which is Rs 300 and 22.5% of Janki’s daily wages is 2:1. If X% of Janki’s daily wages is equal to Rs. 60, then find the value of X.

A. 25

B. 30

C. 300

D. 250

E. 40

Answer: B

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