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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 824 · 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.Divide ₹20 between Rohan and Kavya in the ratio 1 : 3. How much does Rohan get (in ₹)?
  2. 2.Divide ₹30 between Isha and Kabir in the ratio 1 : 2. How much does Kabir get (in ₹)?
  3. 3.Divide ₹100 between Manav and Kabir in the ratio 3 : 7. How much does Manav get (in ₹)?
  4. 4.Divide ₹531 between Arjun and Kabir in the ratio 1 : 8. How much does Kabir get (in ₹)?
  5. 5.Divide ₹539 between Karan and Nisha in the ratio 7 : 4. How much does Karan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  7. 7.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  8. 8.Divide ₹385 between Manav and Dev in the ratio 9 : 2. How much does Dev get (in ₹)?
  9. 9.2 : 3 = 8 : ?
  10. 10.Divide ₹174 between Isha and Rohan in the ratio 1 : 5. How much does Isha get (in ₹)?
  11. 11.8 : 3 = 56 : ?
  12. 12.Divide ₹182 between Sneha and Rahul in the ratio 5 : 8. How much does Sneha get (in ₹)?
  13. 13.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  14. 14.Divide ₹130 between Meera and Arjun in the ratio 3 : 7. How much does Arjun get (in ₹)?
  15. 15.3 : 5 = 15 : ?
  16. 16.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  18. 18.Divide ₹228 between Arjun and Farhan in the ratio 1 : 5. How much does Farhan get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  20. 20.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  21. 21.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  23. 23.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  24. 24.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
  25. 25.Divide ₹396 between Kavya and Priya in the ratio 1 : 8. How much does Kavya get (in ₹)?
  26. 26.Divide ₹198 between Priya and Diya in the ratio 5 : 1. How much does Diya get (in ₹)?
  27. 27.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  28. 28.Divide ₹390 between Tara and Karan in the ratio 1 : 9. How much does Karan get (in ₹)?
  29. 29.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  30. 30.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  31. 31.Divide ₹110 between Manav and Pooja in the ratio 7 : 4. How much does Pooja get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  33. 33.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  34. 34.2 : 15 = 14 : ?
  35. 35.Divide ₹322 between Aditya and Meera in the ratio 3 : 4. How much does Aditya get (in ₹)?
  36. 36.Divide ₹299 between Vivaan and Rahul in the ratio 4 : 9. How much does Rahul get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  38. 38.3 : 15 = 21 : ?
  39. 39.Divide ₹190 between Pooja and Zoya in the ratio 3 : 7. How much does Pooja get (in ₹)?
  40. 40.7 : 10 = 42 : ?

Answer key

  1. 5
  2. 20
  3. 30
  4. 472
  5. 343
  6. 4
  7. 225
  8. 70
  9. 12
  10. 29
  11. 21
  12. 70
  13. 36
  14. 91
  15. 25
  16. 20
  17. 18
  18. 190
  19. 7
  20. 8
  21. 30
  22. 9
  23. 128
  24. 60
  25. 44
  26. 33
  27. 75
  28. 351
  29. 36
  30. 150
  31. 40
  32. 32
  33. 112
  34. 105
  35. 138
  36. 207
  37. 70
  38. 105
  39. 57
  40. 60

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