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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 694 · 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 2 and 10 (that is, 2 : 10 = 10 : ?).
  2. 2.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  3. 3.Divide ₹95 between Manav and Priya in the ratio 3 : 2. How much does Priya get (in ₹)?
  4. 4.Divide ₹325 between Dev and Meera in the ratio 5 : 8. How much does Dev get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 8 : 9. There are 80 boys. How many girls are there?
  6. 6.Divide ₹320 between Saanvi and Ananya in the ratio 1 : 9. How much does Saanvi get (in ₹)?
  7. 7.4 : 10 = 32 : ?
  8. 8.Divide ₹273 between Pooja and Nisha in the ratio 8 : 5. How much does Pooja get (in ₹)?
  9. 9.3 : 9 = 24 : ?
  10. 10.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  11. 11.Divide ₹540 between Tara and Meera in the ratio 7 : 3. How much does Tara get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  13. 13.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  14. 14.6 : 9 = 54 : ?
  15. 15.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
  16. 16.4 : 9 = 24 : ?
  17. 17.Divide ₹598 between Zoya and Priya in the ratio 4 : 9. How much does Priya get (in ₹)?
  18. 18.10 : 14 = 90 : ?
  19. 19.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  20. 20.Divide ₹315 between Kavya and Rahul in the ratio 8 : 1. How much does Kavya get (in ₹)?
  21. 21.Divide ₹162 between Arjun and Meera in the ratio 1 : 2. How much does Meera get (in ₹)?
  22. 22.2 : 14 = 14 : ?
  23. 23.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  24. 24.6 : 2 = 12 : ?
  25. 25.9 : 8 = 36 : ?
  26. 26.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  27. 27.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  28. 28.6 : 5 = 54 : ?
  29. 29.Divide ₹208 between Nisha and Farhan in the ratio 4 : 9. How much does Nisha get (in ₹)?
  30. 30.Divide ₹448 between Rahul and Aarav in the ratio 7 : 1. How much does Rahul get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  32. 32.9 : 3 = 72 : ?
  33. 33.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  34. 34.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  35. 35.Divide ₹204 between Rohan and Aarav in the ratio 7 : 5. How much does Aarav get (in ₹)?
  36. 36.Divide ₹252 between Rohan and Zoya in the ratio 1 : 8. How much does Rohan get (in ₹)?
  37. 37.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  38. 38.Divide ₹248 between Arjun and Pooja in the ratio 3 : 5. How much does Pooja get (in ₹)?
  39. 39.7 : 11 = 35 : ?
  40. 40.Divide ₹110 between Nisha and Aditya in the ratio 8 : 3. How much does Nisha get (in ₹)?

Answer key

  1. 50
  2. 3
  3. 38
  4. 125
  5. 90
  6. 32
  7. 80
  8. 168
  9. 72
  10. 5
  11. 378
  12. 4
  13. 48
  14. 81
  15. 14
  16. 54
  17. 414
  18. 126
  19. 72
  20. 280
  21. 108
  22. 98
  23. 144
  24. 4
  25. 32
  26. 36
  27. 112
  28. 45
  29. 64
  30. 392
  31. 30
  32. 24
  33. 54
  34. 81
  35. 85
  36. 28
  37. 64
  38. 155
  39. 55
  40. 80

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