Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 386 · 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.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
2. 2.Divide ₹144 between Manav and Rohan in the ratio 8 : 1. How much does Manav get (in ₹)?
3. 3.8 : 15 = 56 : ?
4. 4.Divide ₹720 between Isha and Karan in the ratio 7 : 8. How much does Isha get (in ₹)?
5. 5.9 : 15 = 45 : ?
6. 6.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
7. 7.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
8. 8.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
9. 9.4 : 8 = 32 : ?
10. 10.Divide ₹56 between Zoya and Kavya in the ratio 1 : 7. How much does Zoya get (in ₹)?
11. 11.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
12. 12.Divide ₹224 between Dev and Diya in the ratio 4 : 3. How much does Dev get (in ₹)?
13. 13.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
14. 14.6 : 5 = 18 : ?
15. 15.Divide ₹540 between Nisha and Kabir in the ratio 5 : 4. How much does Kabir get (in ₹)?
16. 16.11 : 5 = 22 : ?
17. 17.Divide ₹165 between Sneha and Meera in the ratio 2 : 9. How much does Sneha get (in ₹)?
18. 18.Divide ₹308 between Rohan and Isha in the ratio 8 : 3. How much does Rohan get (in ₹)?
19. 19.Divide ₹532 between Ishaan and Rohan in the ratio 9 : 5. How much does Rohan get (in ₹)?
20. 20.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
21. 21.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
22. 22.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
23. 23.Divide ₹295 between Rohan and Ishaan in the ratio 2 : 3. How much does Ishaan get (in ₹)?
24. 24.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
25. 25.Divide ₹912 between Nisha and Arjun in the ratio 9 : 7. How much does Arjun get (in ₹)?
26. 26.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
27. 27.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
28. 28.8 : 2 = 48 : ?
29. 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
30. 30.Divide ₹850 between Ananya and Manav in the ratio 9 : 8. How much does Ananya get (in ₹)?
31. 31.Divide ₹506 between Pooja and Rahul in the ratio 4 : 7. How much does Pooja get (in ₹)?
32. 32.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
33. 33.Divide ₹308 between Nisha and Rahul in the ratio 5 : 9. How much does Nisha get (in ₹)?
34. 34.Divide ₹312 between Arjun and Meera in the ratio 7 : 1. How much does Arjun get (in ₹)?
35. 35.4 : 10 = 24 : ?
36. 36.Divide ₹66 between Kavya and Rohan in the ratio 5 : 1. How much does Rohan get (in ₹)?
37. 37.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
38. 38.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
39. 39.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
40. 40.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).

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