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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 598 · 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.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  2. 2.Divide ₹240 between Kabir and Kavya in the ratio 7 : 1. How much does Kabir get (in ₹)?
  3. 3.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  4. 4.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  5. 5.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  6. 6.Divide ₹333 between Rohan and Kavya in the ratio 8 : 1. How much does Kavya get (in ₹)?
  7. 7.8 : 14 = 72 : ?
  8. 8.7 : 3 = 14 : ?
  9. 9.Divide ₹198 between Tara and Meera in the ratio 6 : 5. How much does Meera get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
  11. 11.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  12. 12.3 : 6 = 15 : ?
  13. 13.Divide ₹341 between Rahul and Ishaan in the ratio 3 : 8. How much does Ishaan get (in ₹)?
  14. 14.12 : 6 = 108 : ?
  15. 15.7 : 5 = 14 : ?
  16. 16.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  17. 17.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  19. 19.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  20. 20.12 : 6 = 96 : ?
  21. 21.Divide ₹418 between Isha and Ananya in the ratio 5 : 6. How much does Isha get (in ₹)?
  22. 22.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  23. 23.Divide ₹329 between Diya and Tara in the ratio 2 : 5. How much does Diya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  25. 25.Divide ₹144 between Dev and Farhan in the ratio 7 : 5. How much does Dev get (in ₹)?
  26. 26.Divide ₹200 between Kavya and Aarav in the ratio 7 : 3. How much does Kavya get (in ₹)?
  27. 27.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  28. 28.Divide ₹136 between Kavya and Aditya in the ratio 3 : 5. How much does Aditya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 5 : 4. There are 35 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  32. 32.11 : 10 = 22 : ?
  33. 33.Divide ₹54 between Ananya and Manav in the ratio 2 : 7. How much does Ananya get (in ₹)?
  34. 34.Divide ₹272 between Ishaan and Aditya in the ratio 8 : 9. How much does Ishaan get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
  36. 36.2 : 10 = 4 : ?
  37. 37.Divide ₹96 between Isha and Kavya in the ratio 9 : 7. How much does Isha get (in ₹)?
  38. 38.Divide ₹235 between Kabir and Diya in the ratio 3 : 2. How much does Diya get (in ₹)?
  39. 39.Divide ₹240 between Tara and Nisha in the ratio 1 : 9. How much does Nisha get (in ₹)?
  40. 40.5 : 8 = 45 : ?

Answer key

  1. 100
  2. 210
  3. 175
  4. 7
  5. 150
  6. 37
  7. 126
  8. 6
  9. 90
  10. 6
  11. 28
  12. 30
  13. 248
  14. 54
  15. 10
  16. 12
  17. 5
  18. 24
  19. 225
  20. 48
  21. 190
  22. 144
  23. 94
  24. 32
  25. 84
  26. 140
  27. 125
  28. 85
  29. 28
  30. 20
  31. 8
  32. 20
  33. 12
  34. 128
  35. 15
  36. 20
  37. 54
  38. 94
  39. 216
  40. 72

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