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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 925 · 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 ₹165 between Priya and Ananya in the ratio 7 : 8. How much does Priya get (in ₹)?
  2. 2.Divide ₹280 between Pooja and Rahul in the ratio 4 : 1. How much does Rahul get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  5. 5.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  6. 6.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  7. 7.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  8. 8.6 : 10 = 18 : ?
  9. 9.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  10. 10.The ratio of boys to girls in a class is 5 : 8. There are 35 boys. How many girls are there?
  11. 11.3 : 9 = 12 : ?
  12. 12.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  13. 13.Divide ₹69 between Diya and Pooja in the ratio 1 : 2. How much does Diya get (in ₹)?
  14. 14.Divide ₹470 between Aditya and Manav in the ratio 3 : 7. How much does Manav get (in ₹)?
  15. 15.Divide ₹260 between Diya and Tara in the ratio 7 : 6. How much does Diya get (in ₹)?
  16. 16.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  17. 17.Divide ₹572 between Ishaan and Isha in the ratio 4 : 9. How much does Isha get (in ₹)?
  18. 18.11 : 8 = 88 : ?
  19. 19.Divide ₹286 between Zoya and Sneha in the ratio 5 : 8. How much does Sneha get (in ₹)?
  20. 20.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  21. 21.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  22. 22.Divide ₹216 between Diya and Priya in the ratio 5 : 1. How much does Diya get (in ₹)?
  23. 23.8 : 5 = 40 : ?
  24. 24.Divide ₹150 between Saanvi and Kabir in the ratio 1 : 4. How much does Kabir get (in ₹)?
  25. 25.Divide ₹104 between Saanvi and Vivaan in the ratio 9 : 4. How much does Saanvi get (in ₹)?
  26. 26.Divide ₹156 between Arjun and Aditya in the ratio 6 : 7. How much does Aditya get (in ₹)?
  27. 27.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  28. 28.2 : 7 = 10 : ?
  29. 29.3 : 15 = 9 : ?
  30. 30.Divide ₹360 between Pooja and Karan in the ratio 1 : 9. How much does Pooja get (in ₹)?
  31. 31.12 : 8 = 36 : ?
  32. 32.7 : 6 = 35 : ?
  33. 33.Divide ₹236 between Meera and Aarav in the ratio 1 : 3. How much does Aarav get (in ₹)?
  34. 34.Divide ₹440 between Kabir and Meera in the ratio 9 : 2. How much does Kabir get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  37. 37.11 : 8 = 33 : ?
  38. 38.9 : 11 = 63 : ?
  39. 39.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  40. 40.Divide ₹416 between Ishaan and Ananya in the ratio 7 : 9. How much does Ananya get (in ₹)?

Answer key

  1. 77
  2. 56
  3. 28
  4. 18
  5. 20
  6. 21
  7. 48
  8. 30
  9. 54
  10. 56
  11. 36
  12. 49
  13. 23
  14. 329
  15. 140
  16. 150
  17. 396
  18. 64
  19. 176
  20. 96
  21. 24
  22. 180
  23. 25
  24. 120
  25. 72
  26. 84
  27. 72
  28. 35
  29. 45
  30. 36
  31. 24
  32. 30
  33. 177
  34. 360
  35. 5
  36. 16
  37. 24
  38. 77
  39. 25
  40. 234

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