Ratio & Proportion

1. If A:B = 3:4 and B:C = 5:6, find A:C?

2. If x:y = 3:4 and y:z = 4:5, find x:y:z?

3. If A:B = 2:3 and B:C = 9:5 find A:B:C?

4. If A:B = 3/5 : 5/7 and B:C = ¾: 2/5 Find A:B:C?

5. If R:S = 0.01:0.11 and S:T = 2.2:1, Find R:S:T?

6. In a school, Under Sanchayika Scheme, Rekha saves 11/2 times the savings of Bindu, Geeta saves 4 times the savings of Rekha. Find the ratio of the savings of all the three in least terms?

7. A certain sum of money is divided between A and B in the ratio of 11/4 : 12/3 and A got Rs. 360/-. Find the total sum of money and B’s share?

8. In an office, the ratio of the salaries of an officer and a clerk is 15:7. If the salary of a clerk is Rs. 720/- less than the salary of the officer, find the salary of each?

9. In an election to a municipal council, the votes secured by two candidates are in the ratio 13:19. The elected candidates gets 312 votes more than the second  andidate. How many votes are secured by the second candidate?

10. A certain sum of money is divided between Murthy and Prasad in the ratio 31/7 : 22/3. I Murthy gets Rs. 120/- more than Prasad, find the share of each?

11. In a cricket test series, the runs made by Raju and Tendulkar are in the ratio 5:9 and Tendulkar and Azar are in the ratio 6:7. What are the runs made by them if Azar makes 187 runs more than Raju?

12. Annual incomes of the families of Sita and Latha are in the ratio 4:3 and their annual expenditure are in the ratio 3:2. What is their annual income if they save Rs. 3000/- in a year?

13. The cost of 10 books is Rs. 80/-. Find the value of 15 books?

14. The cost of 48 bags of paddy is Rs. 16,800/-. What is the cost of 36 bags of paddy?

15. Monthly expenditure of a family of 4 members is Rs. 2,800/-. What is the expenditure if there are 3 members in the family?

16. If 18 tones of grass is needed for 12 cattle. How many tones of grass is required for 30 cattle?

17. If 80 men can do a piece of work in 10 days, in how many days can 40 men do the same piece of work?

18. If 80 men can do a piece of work in 10 days, in how many days can 20 men do the same piece of work?

19. If 80 men can do a piece of work in 10 days, how many men are required to do the same work in 4 days?

20. If 80 men can do a piece of work in 10 days, how many men are required to do the same work in 2 days?

21. 36 men can do a piece of work in 12 days, in how many days 9 men can do it?

22. 18 men can dig a well in 10 days. After they have worked for 4 days, how many more men shall be employed to complete the work in 4 days from then?

23. The mess charge for 35 students for 24 days is Rs. 6300/-. In how many days will the mess charges be Rs. 3375/- for 25 students?

24. Rice costing Rs. 480/- is needed for 8 members for 20 days. What is the cost of rice required for 12 members for 15 days?

25. 10 men can lay a road of 75 Km long in 5 days. In how many days can 15 men lay a road of 45 Km long?

26. 24 men working at 8 hours a day can do a piece of work in 15 days. In how many days can 20 men working at 9 hours a day do the same work?

27. 175 men can dig a canal of 3150 metre long in 36 days. How many men are required to dig a canal of 3900 metre long in 24 days?