Ratio & Proportion for IBPS PO Mains: FREE Practice PDF & Live Quiz

Q1. Find the duplicate ratio of 5 : 7.

Q2. If 2A = 3B = 5C, find A : B : C.

Q3. Find the third proportion to 4 and 12.

Q4. The sum of three numbers P, Q, R is 372. If P : Q = 2 : 3 and Q : R = 7 : 9, find R.

Q5. The ratio of salaries of A and B is 4 : 5. If A gets a 25% raise and B gets a 20% raise, what is the new ratio of their salaries?

Q6. A and B invest in a business in the ratio 3 : 4. If A increases his investment by 50% and B decreases by 25%, find the new ratio.

Q7. Ravi and Suresh earn in the ratio 7 : 6 and spend in the ratio 5 : 4. If Ravi saves Rs 3,500, how much does Suresh save?

Q8. Rs 1,200 is divided among A, B and C in the ratio 2 : 3 : 7. What is the share of B?

Q9. A sum of money is divided among three friends in the ratio 3 : 5 : 7. If the largest share is Rs 4,200, find the total sum.

Q10. Two numbers are in the ratio 5 : 7. If 6 is subtracted from each, the new ratio is 2 : 3. Find the sum of the original numbers.

Q11. If 40% of a certain number equals 60% of another number, find the ratio of the first number to the second number.

Q12. The price of a book and a pen are in the ratio 7 : 2. If the price of 3 books and 4 pens is Rs 290, find the price of a pen.

Q13. The angles of a triangle are in the ratio 3 : 4 : 5. Find the largest angle.

Q14. The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. Find the largest angle.

Q15. Two complementary angles are in the ratio 7 : 11. Find the larger angle.

Q16. A mixture contains spirit and water in the ratio 7 : 3. If 15 litres of water is added, the ratio becomes 7 : 6. Find the initial quantity of spirit.

Q17. The ratio of ages of A and B is 5 : 3. After 6 years the ratio will be 7 : 5. Find the present age of A.

Q18. Two trains travel from city A to city B and from city B to city A at 80 km/h and 100 km/h respectively. What is the ratio of the time taken by them?

Q19. The ratio of number of male to female employees in a company is 5 : 3. If 30 more females join and no change occurs in male employees, the ratio becomes 5 : 4. Find the total number of employees originally.

Q20. The ratio of copper to zinc in an alloy is 5 : 3. If 16 kg of zinc is added to 40 kg of the alloy, find the ratio of copper to zinc in the new alloy.

Q21. If (2x + 3y) : (3x + 5y) = 18 : 29, find x : y.

Q22. A number is divided into two parts such that the first part is 40% of the second part. If the difference between the two parts is 30, find the number.

Q23. The wages of three labourers A, B and C are in the ratio 2 : 3 : 4. A’s share in a total wage of Rs 4,500 is how much less than C’s share?

Q24. In a class, the ratio of boys to girls is 5 : 4. If 15 more boys and 5 fewer girls are considered, the ratio becomes 2 : 1. Find the total number of students in the class.

Q25. If 3A = 4B = 6C, find A : B : C.

Q26. Find the sub-duplicate ratio of 81 : 121.

Q27. Find the mean proportion between 16 and 25.

Q28. Find the third proportion to 6 and 18.

Q29. Three numbers are in the ratio 4 : 5 : 6 and their sum is 450. Find the smallest number.

Q30. If A : B = 2 : 3 and B : C = 4 : 5, find A : B : C.