Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 914 · 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.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
2. 2.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
3. 3.Divide ₹504 between Aarav and Saanvi in the ratio 7 : 2. How much does Aarav get (in ₹)?
4. 4.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
5. 5.Divide ₹780 between Farhan and Kabir in the ratio 6 : 7. How much does Kabir get (in ₹)?
6. 6.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
7. 7.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
8. 8.Divide ₹33 between Kavya and Tara in the ratio 1 : 2. How much does Kavya get (in ₹)?
9. 9.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
10. 10.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
11. 11.3 : 14 = 18 : ?
12. 12.Divide ₹87 between Manav and Aditya in the ratio 2 : 1. How much does Manav get (in ₹)?
13. 13.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
14. 14.Divide ₹344 between Vivaan and Karan in the ratio 3 : 5. How much does Vivaan get (in ₹)?
15. 15.Divide ₹253 between Kavya and Tara in the ratio 3 : 8. How much does Kavya get (in ₹)?
16. 16.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
17. 17.Divide ₹91 between Rohan and Aarav in the ratio 7 : 6. How much does Rohan get (in ₹)?
18. 18.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
19. 19.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
20. 20.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
21. 21.6 : 11 = 30 : ?
22. 22.Divide ₹120 between Saanvi and Karan in the ratio 3 : 7. How much does Karan get (in ₹)?
23. 23.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
24. 24.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
25. 25.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
26. 26.Divide ₹210 between Arjun and Priya in the ratio 1 : 6. How much does Arjun get (in ₹)?
27. 27.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
28. 28.Divide ₹55 between Ishaan and Arjun in the ratio 4 : 7. How much does Ishaan get (in ₹)?
29. 29.12 : 2 = 108 : ?
30. 30.Divide ₹660 between Nisha and Zoya in the ratio 5 : 7. How much does Nisha get (in ₹)?
31. 31.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
32. 32.4 : 9 = 8 : ?
33. 33.Divide ₹216 between Ananya and Rahul in the ratio 7 : 1. How much does Ananya get (in ₹)?
34. 34.10 : 8 = 70 : ?
35. 35.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
36. 36.4 : 6 = 8 : ?
37. 37.Divide ₹220 between Pooja and Rohan in the ratio 2 : 9. How much does Pooja get (in ₹)?
38. 38.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
39. 39.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
40. 40.12 : 14 = 60 : ?

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