Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 579 · 40 questions

The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

1. 1.Divide ₹198 between Tara and Nisha in the ratio 4 : 5. How much does Nisha get (in ₹)?
2. 2.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
3. 3.Divide ₹32 between Zoya and Aarav in the ratio 1 : 3. How much does Zoya get (in ₹)?
4. 4.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
5. 5.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
6. 6.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
7. 7.Divide ₹608 between Rahul and Kabir in the ratio 7 : 9. How much does Rahul get (in ₹)?
8. 8.11 : 4 = 77 : ?
9. 9.Divide ₹663 between Ishaan and Vivaan in the ratio 8 : 9. How much does Vivaan get (in ₹)?
10. 10.Divide ₹150 between Nisha and Kavya in the ratio 3 : 7. How much does Kavya get (in ₹)?
11. 11.Divide ₹77 between Aarav and Saanvi in the ratio 2 : 9. How much does Saanvi get (in ₹)?
12. 12.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
13. 13.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
14. 14.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
15. 15.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
16. 16.Divide ₹185 between Rohan and Tara in the ratio 3 : 2. How much does Tara get (in ₹)?
17. 17.Divide ₹108 between Aditya and Meera in the ratio 5 : 1. How much does Aditya get (in ₹)?
18. 18.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
19. 19.10 : 7 = 90 : ?
20. 20.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
21. 21.Divide ₹630 between Meera and Priya in the ratio 9 : 5. How much does Priya get (in ₹)?
22. 22.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
23. 23.Divide ₹363 between Tara and Arjun in the ratio 6 : 5. How much does Tara get (in ₹)?
24. 24.4 : 15 = 28 : ?
25. 25.The ratio of boys to girls in a class is 7 : 3. There are 63 boys. How many girls are there?
26. 26.Divide ₹288 between Ananya and Aarav in the ratio 3 : 5. How much does Aarav get (in ₹)?
27. 27.Divide ₹252 between Meera and Arjun in the ratio 5 : 7. How much does Meera get (in ₹)?
28. 28.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
29. 29.5 : 15 = 45 : ?
30. 30.Divide ₹60 between Manav and Ananya in the ratio 3 : 2. How much does Ananya get (in ₹)?
31. 31.10 : 15 = 20 : ?
32. 32.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
33. 33.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
34. 34.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
35. 35.Divide ₹260 between Rahul and Priya in the ratio 3 : 2. How much does Priya get (in ₹)?
36. 36.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
37. 37.12 : 4 = 48 : ?
38. 38.Divide ₹576 between Dev and Rahul in the ratio 5 : 7. How much does Rahul get (in ₹)?
39. 39.Divide ₹160 between Zoya and Manav in the ratio 4 : 1. How much does Manav get (in ₹)?
40. 40.10 : 13 = 70 : ?

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