Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 935 · 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 ₹754 between Saanvi and Ananya in the ratio 7 : 6. How much does Saanvi get (in ₹)?
2. 2.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
3. 3.8 : 13 = 72 : ?
4. 4.The ratio of boys to girls in a class is 6 : 7. There are 36 boys. How many girls are there?
5. 5.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
6. 6.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
7. 7.3 : 14 = 15 : ?
8. 8.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
9. 9.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
10. 10.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
11. 11.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
12. 12.9 : 14 = 36 : ?
13. 13.Divide ₹420 between Pooja and Kabir in the ratio 7 : 8. How much does Kabir get (in ₹)?
14. 14.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
15. 15.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
16. 16.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
17. 17.Divide ₹250 between Kabir and Karan in the ratio 3 : 7. How much does Kabir get (in ₹)?
18. 18.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
19. 19.Divide ₹77 between Karan and Vivaan in the ratio 8 : 3. How much does Karan get (in ₹)?
20. 20.12 : 5 = 36 : ?
21. 21.8 : 2 = 16 : ?
22. 22.Divide ₹144 between Vivaan and Tara in the ratio 1 : 5. How much does Tara get (in ₹)?
23. 23.Divide ₹190 between Priya and Ananya in the ratio 3 : 7. How much does Ananya get (in ₹)?
24. 24.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
25. 25.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
26. 26.Divide ₹351 between Saanvi and Rahul in the ratio 5 : 8. How much does Rahul get (in ₹)?
27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
28. 28.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
29. 29.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
30. 30.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
31. 31.Divide ₹420 between Kavya and Karan in the ratio 2 : 5. How much does Karan get (in ₹)?
32. 32.Divide ₹328 between Priya and Farhan in the ratio 5 : 3. How much does Priya get (in ₹)?
33. 33.9 : 14 = 45 : ?
34. 34.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
35. 35.Divide ₹484 between Ananya and Diya in the ratio 2 : 9. How much does Diya get (in ₹)?
36. 36.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
37. 37.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
38. 38.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
39. 39.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
40. 40.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?

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