Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 62 · 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. 1.11 : 10 = 44 : ?
2. 2.3 : 7 = 15 : ?
3. 3.Divide ₹228 between Ananya and Manav in the ratio 1 : 3. How much does Ananya get (in ₹)?
4. 4.Divide ₹154 between Karan and Vivaan in the ratio 4 : 7. How much does Vivaan get (in ₹)?
5. 5.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
6. 6.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
7. 7.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
8. 8.7 : 9 = 14 : ?
9. 9.Divide ₹232 between Meera and Rohan in the ratio 5 : 3. How much does Meera get (in ₹)?
10. 10.Divide ₹185 between Vivaan and Saanvi in the ratio 2 : 3. How much does Vivaan get (in ₹)?
11. 11.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
13. 13.Divide ₹279 between Pooja and Nisha in the ratio 2 : 7. How much does Nisha get (in ₹)?
14. 14.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
15. 15.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
16. 16.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
17. 17.The ratio of boys to girls in a class is 4 : 9. There are 20 boys. How many girls are there?
18. 18.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
19. 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
20. 20.3 : 2 = 27 : ?
21. 21.Divide ₹364 between Arjun and Farhan in the ratio 4 : 3. How much does Arjun get (in ₹)?
22. 22.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
23. 23.11 : 9 = 66 : ?
24. 24.Divide ₹42 between Tara and Aditya in the ratio 1 : 2. How much does Tara get (in ₹)?
25. 25.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
26. 26.Divide ₹80 between Aditya and Farhan in the ratio 3 : 5. How much does Farhan get (in ₹)?
27. 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
28. 28.Divide ₹128 between Manav and Isha in the ratio 3 : 5. How much does Manav get (in ₹)?
29. 29.Divide ₹754 between Karan and Meera in the ratio 4 : 9. How much does Karan get (in ₹)?
30. 30.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
31. 31.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
32. 32.Divide ₹210 between Kabir and Farhan in the ratio 1 : 4. How much does Farhan get (in ₹)?
33. 33.Divide ₹392 between Kabir and Aarav in the ratio 3 : 5. How much does Kabir get (in ₹)?
34. 34.Divide ₹301 between Pooja and Aditya in the ratio 6 : 1. How much does Aditya get (in ₹)?
35. 35.4 : 8 = 16 : ?
36. 36.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
37. 37.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
38. 38.Divide ₹900 between Ananya and Priya in the ratio 8 : 7. How much does Priya get (in ₹)?
39. 39.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
40. 40.Divide ₹288 between Aditya and Manav in the ratio 3 : 5. How much does Manav get (in ₹)?

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