Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 749 · 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 8 and 24 (that is, 8 : 24 = 24 : ?).
2. 2.8 : 10 = 32 : ?
3. 3.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
4. 4.Divide ₹30 between Aarav and Arjun in the ratio 2 : 3. How much does Aarav get (in ₹)?
5. 5.Divide ₹225 between Tara and Rahul in the ratio 7 : 2. How much does Rahul get (in ₹)?
6. 6.Divide ₹72 between Farhan and Karan in the ratio 1 : 7. How much does Karan get (in ₹)?
7. 7.10 : 13 = 40 : ?
8. 8.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
9. 9.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
10. 10.Divide ₹204 between Rahul and Tara in the ratio 7 : 5. How much does Rahul get (in ₹)?
11. 11.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
12. 12.Divide ₹252 between Rahul and Isha in the ratio 2 : 5. How much does Isha get (in ₹)?
13. 13.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
14. 14.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
15. 15.Divide ₹385 between Rahul and Manav in the ratio 4 : 7. How much does Rahul get (in ₹)?
16. 16.Divide ₹264 between Kabir and Karan in the ratio 4 : 7. How much does Kabir get (in ₹)?
17. 17.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
18. 18.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
19. 19.Divide ₹140 between Saanvi and Farhan in the ratio 3 : 4. How much does Farhan get (in ₹)?
20. 20.Divide ₹154 between Dev and Karan in the ratio 5 : 2. How much does Karan get (in ₹)?
21. 21.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
22. 22.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
23. 23.Divide ₹95 between Dev and Ishaan in the ratio 4 : 1. How much does Ishaan get (in ₹)?
24. 24.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
25. 25.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
26. 26.3 : 13 = 15 : ?
27. 27.Divide ₹168 between Vivaan and Rohan in the ratio 1 : 6. How much does Rohan get (in ₹)?
28. 28.Divide ₹392 between Pooja and Arjun in the ratio 4 : 3. How much does Arjun get (in ₹)?
29. 29.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
30. 30.Divide ₹55 between Aditya and Aarav in the ratio 8 : 3. How much does Aarav get (in ₹)?
31. 31.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
32. 32.4 : 3 = 8 : ?
33. 33.Divide ₹324 between Rahul and Rohan in the ratio 7 : 2. How much does Rahul get (in ₹)?
34. 34.Divide ₹253 between Meera and Aditya in the ratio 5 : 6. How much does Aditya get (in ₹)?
35. 35.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
36. 36.Divide ₹270 between Sneha and Kavya in the ratio 2 : 3. How much does Kavya get (in ₹)?
37. 37.11 : 10 = 44 : ?
38. 38.7 : 15 = 14 : ?
39. 39.3 : 7 = 9 : ?
40. 40.Divide ₹60 between Dev and Tara in the ratio 2 : 3. How much does Tara get (in ₹)?

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