Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 331 · 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 ₹280 between Zoya and Aditya in the ratio 1 : 4. How much does Aditya get (in ₹)?
2. 2.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
3. 3.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
4. 4.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
5. 5.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
6. 6.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
7. 7.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
8. 8.Divide ₹390 between Ananya and Diya in the ratio 8 : 7. How much does Diya get (in ₹)?
9. 9.Divide ₹234 between Aditya and Ananya in the ratio 5 : 1. How much does Ananya get (in ₹)?
10. 10.The ratio of boys to girls in a class is 7 : 9. There are 49 boys. How many girls are there?
11. 11.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
12. 12.Divide ₹408 between Ananya and Isha in the ratio 5 : 7. How much does Isha get (in ₹)?
13. 13.Divide ₹570 between Karan and Zoya in the ratio 8 : 7. How much does Karan get (in ₹)?
14. 14.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
15. 15.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
16. 16.Divide ₹264 between Ishaan and Kavya in the ratio 4 : 7. How much does Ishaan get (in ₹)?
17. 17.Divide ₹416 between Farhan and Karan in the ratio 1 : 7. How much does Karan get (in ₹)?
18. 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
19. 19.11 : 2 = 44 : ?
20. 20.2 : 4 = 16 : ?
21. 21.Divide ₹140 between Arjun and Karan in the ratio 1 : 9. How much does Karan get (in ₹)?
22. 22.11 : 14 = 55 : ?
23. 23.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
24. 24.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
25. 25.Divide ₹120 between Rohan and Aarav in the ratio 1 : 2. How much does Aarav get (in ₹)?
26. 26.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
27. 27.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
28. 28.3 : 6 = 27 : ?
29. 29.The ratio of boys to girls in a class is 7 : 6. There are 42 boys. How many girls are there?
30. 30.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
31. 31.Divide ₹160 between Rohan and Ananya in the ratio 1 : 7. How much does Rohan get (in ₹)?
32. 32.Divide ₹522 between Meera and Kavya in the ratio 8 : 1. How much does Kavya get (in ₹)?
33. 33.10 : 4 = 40 : ?
34. 34.4 : 3 = 12 : ?
35. 35.Divide ₹351 between Ishaan and Aditya in the ratio 2 : 7. How much does Aditya get (in ₹)?
36. 36.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
37. 37.Divide ₹261 between Pooja and Kabir in the ratio 7 : 2. How much does Kabir get (in ₹)?
38. 38.Divide ₹119 between Kavya and Saanvi in the ratio 2 : 5. How much does Saanvi get (in ₹)?
39. 39.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
40. 40.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).

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