Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 17 · 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 ₹741 between Aarav and Ananya in the ratio 5 : 8. How much does Aarav get (in ₹)?
2. 2.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
3. 3.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
4. 4.The ratio of boys to girls in a class is 8 : 9. There are 72 boys. How many girls are there?
5. 5.2 : 12 = 12 : ?
6. 6.Divide ₹77 between Farhan and Pooja in the ratio 5 : 6. How much does Farhan get (in ₹)?
7. 7.Divide ₹261 between Sneha and Vivaan in the ratio 7 : 2. How much does Sneha get (in ₹)?
8. 8.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
9. 9.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
10. 10.Divide ₹531 between Farhan and Rahul in the ratio 7 : 2. How much does Farhan get (in ₹)?
11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
13. 13.Divide ₹72 between Farhan and Rohan in the ratio 1 : 2. How much does Rohan get (in ₹)?
14. 14.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
15. 15.Divide ₹273 between Kabir and Zoya in the ratio 5 : 8. How much does Kabir get (in ₹)?
16. 16.Divide ₹153 between Vivaan and Isha in the ratio 9 : 8. How much does Isha get (in ₹)?
17. 17.Divide ₹144 between Dev and Farhan in the ratio 2 : 7. How much does Dev get (in ₹)?
18. 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
19. 19.Divide ₹363 between Sneha and Ananya in the ratio 7 : 4. How much does Ananya get (in ₹)?
20. 20.Divide ₹329 between Aditya and Rohan in the ratio 5 : 2. How much does Rohan get (in ₹)?
21. 21.Divide ₹135 between Priya and Rohan in the ratio 2 : 7. How much does Priya get (in ₹)?
22. 22.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
23. 23.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
24. 24.Divide ₹225 between Kavya and Rohan in the ratio 8 : 7. How much does Rohan get (in ₹)?
25. 25.7 : 3 = 35 : ?
26. 26.5 : 3 = 25 : ?
27. 27.11 : 5 = 77 : ?
28. 28.Divide ₹80 between Saanvi and Diya in the ratio 7 : 3. How much does Saanvi get (in ₹)?
29. 29.Divide ₹429 between Arjun and Ananya in the ratio 2 : 9. How much does Ananya get (in ₹)?
30. 30.Divide ₹60 between Diya and Pooja in the ratio 1 : 2. How much does Pooja get (in ₹)?
31. 31.Divide ₹99 between Manav and Aditya in the ratio 6 : 5. How much does Manav get (in ₹)?
32. 32.Divide ₹459 between Kabir and Kavya in the ratio 1 : 8. How much does Kavya get (in ₹)?
33. 33.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
34. 34.Divide ₹204 between Kavya and Pooja in the ratio 8 : 9. How much does Kavya get (in ₹)?
35. 35.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
36. 36.Divide ₹100 between Sneha and Aditya in the ratio 3 : 1. How much does Sneha get (in ₹)?
37. 37.3 : 15 = 6 : ?
38. 38.Divide ₹93 between Kabir and Dev in the ratio 2 : 1. How much does Dev get (in ₹)?
39. 39.Divide ₹144 between Tara and Pooja in the ratio 7 : 5. How much does Pooja get (in ₹)?
40. 40.Divide ₹165 between Arjun and Tara in the ratio 9 : 2. How much does Arjun get (in ₹)?

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