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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 253 · 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 9 and 27 (that is, 9 : 27 = 27 : ?).
  2. 2.4 : 7 = 20 : ?
  3. 3.Divide ₹500 between Ananya and Nisha in the ratio 9 : 1. How much does Ananya get (in ₹)?
  4. 4.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  5. 5.8 : 5 = 16 : ?
  6. 6.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  7. 7.Divide ₹650 between Arjun and Zoya in the ratio 6 : 7. How much does Arjun get (in ₹)?
  8. 8.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  9. 9.Divide ₹119 between Rahul and Pooja in the ratio 3 : 4. How much does Rahul get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  11. 11.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  12. 12.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  13. 13.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  14. 14.Divide ₹132 between Diya and Arjun in the ratio 2 : 1. How much does Arjun get (in ₹)?
  15. 15.2 : 15 = 18 : ?
  16. 16.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  17. 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  18. 18.7 : 5 = 63 : ?
  19. 19.11 : 14 = 88 : ?
  20. 20.Divide ₹408 between Nisha and Aarav in the ratio 5 : 3. How much does Nisha get (in ₹)?
  21. 21.12 : 7 = 60 : ?
  22. 22.Divide ₹147 between Manav and Farhan in the ratio 1 : 2. How much does Farhan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  24. 24.Divide ₹297 between Sneha and Ananya in the ratio 2 : 7. How much does Sneha get (in ₹)?
  25. 25.4 : 12 = 32 : ?
  26. 26.Divide ₹221 between Arjun and Meera in the ratio 5 : 8. How much does Arjun get (in ₹)?
  27. 27.Divide ₹182 between Rahul and Diya in the ratio 4 : 3. How much does Rahul get (in ₹)?
  28. 28.Divide ₹100 between Arjun and Pooja in the ratio 1 : 3. How much does Arjun get (in ₹)?
  29. 29.Divide ₹36 between Manav and Nisha in the ratio 1 : 2. How much does Manav get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  32. 32.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  33. 33.Divide ₹182 between Nisha and Ishaan in the ratio 1 : 6. How much does Nisha get (in ₹)?
  34. 34.Divide ₹407 between Vivaan and Kavya in the ratio 2 : 9. How much does Vivaan get (in ₹)?
  35. 35.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  36. 36.The ratio of boys to girls in a class is 9 : 8. There are 72 boys. How many girls are there?
  37. 37.Divide ₹102 between Kabir and Aarav in the ratio 9 : 8. How much does Aarav get (in ₹)?
  38. 38.Divide ₹68 between Saanvi and Sneha in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  39. 39.11 : 3 = 66 : ?
  40. 40.Divide ₹125 between Kavya and Zoya in the ratio 3 : 2. How much does Kavya get (in ₹)?

Answer key

  1. 81
  2. 35
  3. 450
  4. 16
  5. 10
  6. 63
  7. 300
  8. 80
  9. 51
  10. 7
  11. 32
  12. 72
  13. 45
  14. 44
  15. 135
  16. 42
  17. 8
  18. 45
  19. 112
  20. 255
  21. 35
  22. 98
  23. 49
  24. 66
  25. 96
  26. 85
  27. 104
  28. 25
  29. 12
  30. 90
  31. 63
  32. 20
  33. 26
  34. 74
  35. 128
  36. 64
  37. 48
  38. 17
  39. 18
  40. 75

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