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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 186 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹230 between Meera and Manav in the ratio 3 : 2. How much does Meera get (in ₹)?
  2. 2.Divide ₹320 between Rohan and Arjun in the ratio 9 : 1. How much does Rohan get (in ₹)?
  3. 3.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  4. 4.Divide ₹272 between Aarav and Vivaan in the ratio 9 : 8. How much does Aarav get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  6. 6.Divide ₹104 between Dev and Zoya in the ratio 4 : 9. How much does Dev get (in ₹)?
  7. 7.Divide ₹374 between Kavya and Sneha in the ratio 7 : 4. How much does Kavya get (in ₹)?
  8. 8.4 : 13 = 24 : ?
  9. 9.Divide ₹216 between Kabir and Nisha in the ratio 5 : 3. How much does Kabir get (in ₹)?
  10. 10.Divide ₹350 between Nisha and Pooja in the ratio 4 : 3. How much does Nisha get (in ₹)?
  11. 11.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  12. 12.Divide ₹420 between Kabir and Meera in the ratio 8 : 7. How much does Kabir get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  14. 14.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  15. 15.10 : 14 = 20 : ?
  16. 16.3 : 8 = 12 : ?
  17. 17.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  18. 18.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  19. 19.Divide ₹462 between Meera and Rohan in the ratio 5 : 6. How much does Meera get (in ₹)?
  20. 20.6 : 5 = 30 : ?
  21. 21.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
  22. 22.Divide ₹432 between Dev and Manav in the ratio 7 : 1. How much does Manav get (in ₹)?
  23. 23.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  24. 24.Divide ₹392 between Meera and Zoya in the ratio 3 : 5. How much does Meera get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  26. 26.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  27. 27.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  28. 28.3 : 4 = 6 : ?
  29. 29.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  30. 30.12 : 3 = 36 : ?
  31. 31.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  33. 33.Divide ₹272 between Manav and Tara in the ratio 7 : 9. How much does Manav get (in ₹)?
  34. 34.7 : 2 = 21 : ?
  35. 35.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  36. 36.Divide ₹246 between Priya and Manav in the ratio 1 : 5. How much does Manav get (in ₹)?
  37. 37.Divide ₹306 between Farhan and Vivaan in the ratio 1 : 8. How much does Farhan get (in ₹)?
  38. 38.Divide ₹88 between Meera and Diya in the ratio 3 : 1. How much does Meera get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?

Answer key

  1. 138
  2. 288
  3. 36
  4. 144
  5. 32
  6. 32
  7. 238
  8. 78
  9. 135
  10. 200
  11. 24
  12. 224
  13. 7
  14. 20
  15. 28
  16. 32
  17. 96
  18. 18
  19. 210
  20. 25
  21. 10
  22. 54
  23. 100
  24. 147
  25. 21
  26. 32
  27. 27
  28. 8
  29. 12
  30. 9
  31. 4
  32. 48
  33. 119
  34. 6
  35. 144
  36. 205
  37. 34
  38. 66
  39. 27
  40. 40

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