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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 124 · 40 questions
TalentJR

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).

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  1. 1.Divide ₹520 between Saanvi and Karan in the ratio 6 : 7. How much does Saanvi get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  3. 3.Divide ₹152 between Isha and Rohan in the ratio 5 : 3. How much does Isha get (in ₹)?
  4. 4.10 : 3 = 20 : ?
  5. 5.Divide ₹88 between Diya and Aarav in the ratio 9 : 2. How much does Diya get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  8. 8.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  9. 9.Divide ₹533 between Pooja and Rahul in the ratio 7 : 6. How much does Pooja get (in ₹)?
  10. 10.12 : 2 = 96 : ?
  11. 11.8 : 5 = 24 : ?
  12. 12.Divide ₹220 between Kabir and Isha in the ratio 2 : 9. How much does Kabir get (in ₹)?
  13. 13.5 : 14 = 35 : ?
  14. 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  15. 15.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  16. 16.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  17. 17.11 : 10 = 77 : ?
  18. 18.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  19. 19.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  20. 20.5 : 3 = 10 : ?
  21. 21.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  23. 23.Divide ₹198 between Nisha and Rohan in the ratio 3 : 8. How much does Rohan get (in ₹)?
  24. 24.Divide ₹420 between Manav and Farhan in the ratio 3 : 7. How much does Manav get (in ₹)?
  25. 25.7 : 12 = 63 : ?
  26. 26.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  27. 27.9 : 15 = 72 : ?
  28. 28.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  29. 29.Divide ₹660 between Manav and Nisha in the ratio 5 : 6. How much does Manav get (in ₹)?
  30. 30.Divide ₹204 between Diya and Kavya in the ratio 7 : 5. How much does Kavya get (in ₹)?
  31. 31.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  32. 32.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  33. 33.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  34. 34.Divide ₹407 between Aarav and Meera in the ratio 2 : 9. How much does Meera get (in ₹)?
  35. 35.Divide ₹406 between Kavya and Arjun in the ratio 3 : 4. How much does Arjun get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  37. 37.5 : 6 = 20 : ?
  38. 38.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  39. 39.Divide ₹286 between Meera and Kabir in the ratio 6 : 7. How much does Meera get (in ₹)?
  40. 40.6 : 13 = 30 : ?

Answer key

  1. 240
  2. 12
  3. 95
  4. 6
  5. 72
  6. 8
  7. 18
  8. 36
  9. 287
  10. 16
  11. 15
  12. 40
  13. 98
  14. 8
  15. 15
  16. 100
  17. 70
  18. 10
  19. 27
  20. 6
  21. 72
  22. 56
  23. 144
  24. 126
  25. 108
  26. 36
  27. 120
  28. 28
  29. 300
  30. 85
  31. 200
  32. 63
  33. 12
  34. 333
  35. 232
  36. 24
  37. 24
  38. 63
  39. 132
  40. 65

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