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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 663 · 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 3 and 15 (that is, 3 : 15 = 15 : ?).
  2. 2.Divide ₹432 between Kavya and Nisha in the ratio 2 : 7. How much does Nisha get (in ₹)?
  3. 3.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  4. 4.Divide ₹88 between Aditya and Saanvi in the ratio 7 : 1. How much does Aditya get (in ₹)?
  5. 5.8 : 4 = 16 : ?
  6. 6.Divide ₹423 between Ishaan and Manav in the ratio 1 : 8. How much does Manav get (in ₹)?
  7. 7.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  8. 8.Divide ₹880 between Farhan and Zoya in the ratio 9 : 7. How much does Zoya get (in ₹)?
  9. 9.7 : 13 = 63 : ?
  10. 10.Divide ₹918 between Zoya and Priya in the ratio 8 : 9. How much does Zoya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
  12. 12.Divide ₹264 between Pooja and Saanvi in the ratio 7 : 1. How much does Saanvi get (in ₹)?
  13. 13.11 : 2 = 88 : ?
  14. 14.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  15. 15.Divide ₹387 between Zoya and Kavya in the ratio 5 : 4. How much does Zoya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  17. 17.Divide ₹140 between Kavya and Rahul in the ratio 5 : 2. How much does Rahul get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  19. 19.6 : 14 = 42 : ?
  20. 20.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  21. 21.Divide ₹66 between Priya and Kavya in the ratio 3 : 8. How much does Priya get (in ₹)?
  22. 22.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  23. 23.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  25. 25.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  26. 26.Divide ₹385 between Sneha and Aarav in the ratio 7 : 4. How much does Aarav get (in ₹)?
  27. 27.Divide ₹48 between Rahul and Meera in the ratio 3 : 1. How much does Meera get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  29. 29.2 : 11 = 10 : ?
  30. 30.Divide ₹110 between Farhan and Rohan in the ratio 9 : 1. How much does Rohan get (in ₹)?
  31. 31.Divide ₹540 between Meera and Sneha in the ratio 1 : 8. How much does Meera get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  35. 35.Divide ₹245 between Manav and Tara in the ratio 6 : 1. How much does Manav get (in ₹)?
  36. 36.Divide ₹80 between Rahul and Saanvi in the ratio 9 : 7. How much does Saanvi get (in ₹)?
  37. 37.Divide ₹216 between Arjun and Diya in the ratio 1 : 5. How much does Arjun get (in ₹)?
  38. 38.8 : 10 = 32 : ?
  39. 39.9 : 8 = 63 : ?
  40. 40.10 : 9 = 40 : ?

Answer key

  1. 75
  2. 336
  3. 80
  4. 77
  5. 8
  6. 376
  7. 63
  8. 385
  9. 117
  10. 432
  11. 72
  12. 33
  13. 16
  14. 28
  15. 215
  16. 27
  17. 40
  18. 50
  19. 98
  20. 2
  21. 18
  22. 16
  23. 18
  24. 12
  25. 36
  26. 140
  27. 12
  28. 20
  29. 55
  30. 11
  31. 60
  32. 42
  33. 10
  34. 27
  35. 210
  36. 35
  37. 36
  38. 40
  39. 56
  40. 36

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