Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 661 · 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 2 and 8 (that is, 2 : 8 = 8 : ?).
2. 2.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
3. 3.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
4. 4.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
5. 5.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
6. 6.Divide ₹75 between Meera and Rohan in the ratio 1 : 4. How much does Rohan get (in ₹)?
7. 7.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
8. 8.Divide ₹352 between Vivaan and Arjun in the ratio 7 : 9. How much does Arjun get (in ₹)?
9. 9.Divide ₹240 between Manav and Isha in the ratio 1 : 7. How much does Manav get (in ₹)?
10. 10.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
11. 11.10 : 11 = 60 : ?
12. 12.Divide ₹64 between Rohan and Nisha in the ratio 7 : 1. How much does Nisha get (in ₹)?
13. 13.Divide ₹228 between Nisha and Isha in the ratio 1 : 3. How much does Nisha get (in ₹)?
14. 14.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
15. 15.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
16. 16.Divide ₹539 between Arjun and Pooja in the ratio 8 : 3. How much does Pooja get (in ₹)?
17. 17.Divide ₹510 between Diya and Pooja in the ratio 9 : 8. How much does Pooja get (in ₹)?
18. 18.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
19. 19.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
20. 20.Divide ₹49 between Saanvi and Rohan in the ratio 6 : 1. How much does Rohan get (in ₹)?
21. 21.Divide ₹468 between Rahul and Diya in the ratio 5 : 4. How much does Diya get (in ₹)?
22. 22.5 : 7 = 30 : ?
23. 23.Divide ₹276 between Sneha and Vivaan in the ratio 1 : 5. How much does Sneha get (in ₹)?
24. 24.Divide ₹560 between Pooja and Aarav in the ratio 1 : 9. How much does Pooja get (in ₹)?
25. 25.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
26. 26.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
27. 27.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
28. 28.3 : 13 = 9 : ?
29. 29.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
30. 30.3 : 2 = 18 : ?
31. 31.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
32. 32.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
33. 33.The ratio of boys to girls in a class is 5 : 7. There are 30 boys. How many girls are there?
34. 34.Divide ₹735 between Farhan and Isha in the ratio 7 : 8. How much does Farhan get (in ₹)?
35. 35.6 : 3 = 24 : ?
36. 36.Divide ₹177 between Ishaan and Manav in the ratio 1 : 2. How much does Ishaan get (in ₹)?
37. 37.Divide ₹204 between Dev and Saanvi in the ratio 9 : 8. How much does Dev get (in ₹)?
38. 38.4 : 3 = 16 : ?
39. 39.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
40. 40.Divide ₹432 between Pooja and Meera in the ratio 7 : 5. How much does Meera get (in ₹)?

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