Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 675 · 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 ₹728 between Saanvi and Sneha in the ratio 4 : 9. How much does Saanvi get (in ₹)?
2. 2.12 : 15 = 48 : ?
3. 3.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
4. 4.Divide ₹198 between Sneha and Kavya in the ratio 3 : 8. How much does Sneha get (in ₹)?
5. 5.9 : 13 = 81 : ?
6. 6.Divide ₹48 between Rohan and Saanvi in the ratio 5 : 3. How much does Saanvi get (in ₹)?
7. 7.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
8. 8.The ratio of boys to girls in a class is 7 : 6. There are 42 boys. How many girls are there?
9. 9.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
10. 10.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
11. 11.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
12. 12.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
13. 13.2 : 9 = 6 : ?
14. 14.Divide ₹57 between Karan and Tara in the ratio 2 : 1. How much does Karan get (in ₹)?
15. 15.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
16. 16.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
17. 17.Divide ₹100 between Arjun and Ishaan in the ratio 7 : 3. How much does Arjun get (in ₹)?
18. 18.Divide ₹416 between Rahul and Isha in the ratio 5 : 8. How much does Isha get (in ₹)?
19. 19.Divide ₹20 between Dev and Aditya in the ratio 1 : 3. How much does Dev get (in ₹)?
20. 20.Divide ₹297 between Aarav and Ishaan in the ratio 5 : 6. How much does Aarav get (in ₹)?
21. 21.Divide ₹630 between Ishaan and Ananya in the ratio 5 : 9. How much does Ishaan get (in ₹)?
22. 22.Divide ₹527 between Rahul and Rohan in the ratio 8 : 9. How much does Rahul get (in ₹)?
23. 23.8 : 3 = 32 : ?
24. 24.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
25. 25.6 : 2 = 30 : ?
26. 26.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
27. 27.Divide ₹207 between Diya and Ishaan in the ratio 7 : 2. How much does Diya get (in ₹)?
28. 28.Divide ₹396 between Pooja and Rohan in the ratio 4 : 7. How much does Pooja get (in ₹)?
29. 29.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
30. 30.Divide ₹187 between Farhan and Tara in the ratio 2 : 9. How much does Tara get (in ₹)?
31. 31.Divide ₹432 between Manav and Aarav in the ratio 7 : 2. How much does Aarav get (in ₹)?
32. 32.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
33. 33.Divide ₹368 between Ananya and Meera in the ratio 9 : 7. How much does Meera get (in ₹)?
34. 34.4 : 9 = 36 : ?
35. 35.7 : 12 = 56 : ?
36. 36.Divide ₹18 between Karan and Kavya in the ratio 1 : 2. How much does Karan get (in ₹)?
37. 37.Divide ₹150 between Zoya and Tara in the ratio 7 : 3. How much does Tara get (in ₹)?
38. 38.Divide ₹242 between Kavya and Arjun in the ratio 4 : 7. How much does Kavya get (in ₹)?
39. 39.Divide ₹35 between Priya and Farhan in the ratio 3 : 4. How much does Priya get (in ₹)?
40. 40.Divide ₹414 between Arjun and Karan in the ratio 2 : 7. How much does Karan get (in ₹)?

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