Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 690 · 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 ₹795 between Kavya and Aarav in the ratio 7 : 8. How much does Aarav get (in ₹)?
2. 2.Divide ₹231 between Rohan and Arjun in the ratio 5 : 6. How much does Arjun get (in ₹)?
3. 3.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
4. 4.Divide ₹265 between Farhan and Ananya in the ratio 1 : 4. How much does Farhan get (in ₹)?
5. 5.Divide ₹510 between Priya and Vivaan in the ratio 1 : 9. How much does Vivaan get (in ₹)?
6. 6.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
7. 7.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
8. 8.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
9. 9.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
10. 10.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
11. 11.Divide ₹182 between Vivaan and Pooja in the ratio 5 : 2. How much does Pooja get (in ₹)?
12. 12.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
13. 13.Divide ₹210 between Dev and Aarav in the ratio 4 : 3. How much does Dev get (in ₹)?
14. 14.Divide ₹112 between Kavya and Vivaan in the ratio 7 : 1. How much does Vivaan get (in ₹)?
15. 15.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
16. 16.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
17. 17.4 : 12 = 28 : ?
18. 18.Divide ₹324 between Tara and Aarav in the ratio 4 : 5. How much does Aarav get (in ₹)?
19. 19.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
20. 20.8 : 10 = 16 : ?
21. 21.7 : 8 = 21 : ?
22. 22.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
23. 23.10 : 15 = 40 : ?
24. 24.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
25. 25.Divide ₹91 between Nisha and Saanvi in the ratio 8 : 5. How much does Nisha get (in ₹)?
26. 26.Divide ₹330 between Aarav and Meera in the ratio 7 : 8. How much does Meera get (in ₹)?
27. 27.Divide ₹150 between Manav and Rohan in the ratio 5 : 1. How much does Rohan get (in ₹)?
28. 28.Divide ₹660 between Priya and Pooja in the ratio 6 : 5. How much does Pooja get (in ₹)?
29. 29.Divide ₹75 between Sneha and Ananya in the ratio 7 : 8. How much does Ananya get (in ₹)?
30. 30.4 : 2 = 12 : ?
31. 31.Divide ₹528 between Kavya and Zoya in the ratio 9 : 2. How much does Zoya get (in ₹)?
32. 32.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
33. 33.Divide ₹50 between Tara and Kabir in the ratio 3 : 2. How much does Tara get (in ₹)?
34. 34.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
35. 35.12 : 4 = 96 : ?
36. 36.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
37. 37.7 : 6 = 28 : ?
38. 38.Divide ₹210 between Kavya and Nisha in the ratio 1 : 9. How much does Kavya get (in ₹)?
39. 39.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
40. 40.Divide ₹420 between Ishaan and Pooja in the ratio 9 : 1. How much does Pooja get (in ₹)?

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