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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 65 · 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. 1.3 : 13 = 12 : ?
  2. 2.11 : 3 = 55 : ?
  3. 3.Divide ₹65 between Pooja and Isha in the ratio 3 : 2. How much does Isha get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
  5. 5.Divide ₹119 between Kavya and Tara in the ratio 1 : 6. How much does Kavya get (in ₹)?
  6. 6.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  7. 7.3 : 11 = 18 : ?
  8. 8.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  9. 9.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  10. 10.3 : 9 = 18 : ?
  11. 11.4 : 9 = 16 : ?
  12. 12.Divide ₹343 between Nisha and Priya in the ratio 5 : 2. How much does Priya get (in ₹)?
  13. 13.Divide ₹174 between Diya and Meera in the ratio 2 : 1. How much does Diya get (in ₹)?
  14. 14.7 : 4 = 49 : ?
  15. 15.3 : 11 = 24 : ?
  16. 16.12 : 10 = 96 : ?
  17. 17.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  18. 18.Divide ₹104 between Zoya and Kavya in the ratio 3 : 1. How much does Zoya get (in ₹)?
  19. 19.Divide ₹175 between Rahul and Priya in the ratio 4 : 1. How much does Rahul get (in ₹)?
  20. 20.12 : 8 = 72 : ?
  21. 21.Divide ₹175 between Meera and Dev in the ratio 1 : 6. How much does Dev get (in ₹)?
  22. 22.Divide ₹48 between Ishaan and Tara in the ratio 1 : 5. How much does Ishaan get (in ₹)?
  23. 23.Divide ₹135 between Kabir and Zoya in the ratio 7 : 2. How much does Zoya get (in ₹)?
  24. 24.Divide ₹561 between Saanvi and Priya in the ratio 9 : 8. How much does Priya get (in ₹)?
  25. 25.Divide ₹741 between Karan and Diya in the ratio 9 : 4. How much does Diya get (in ₹)?
  26. 26.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  27. 27.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  28. 28.Divide ₹48 between Kabir and Sneha in the ratio 1 : 2. How much does Kabir get (in ₹)?
  29. 29.Divide ₹190 between Isha and Ishaan in the ratio 9 : 1. How much does Isha get (in ₹)?
  30. 30.Divide ₹99 between Rohan and Pooja in the ratio 7 : 2. How much does Rohan get (in ₹)?
  31. 31.10 : 6 = 50 : ?
  32. 32.Divide ₹204 between Aarav and Isha in the ratio 8 : 9. How much does Aarav get (in ₹)?
  33. 33.Divide ₹530 between Meera and Priya in the ratio 9 : 1. How much does Meera get (in ₹)?
  34. 34.12 : 9 = 108 : ?
  35. 35.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  36. 36.Divide ₹210 between Rohan and Meera in the ratio 1 : 5. How much does Rohan get (in ₹)?
  37. 37.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  38. 38.Divide ₹517 between Sneha and Saanvi in the ratio 7 : 4. How much does Saanvi get (in ₹)?
  39. 39.Divide ₹312 between Pooja and Ishaan in the ratio 5 : 8. How much does Ishaan get (in ₹)?
  40. 40.Divide ₹141 between Aarav and Vivaan in the ratio 1 : 2. How much does Aarav get (in ₹)?

Answer key

  1. 52
  2. 15
  3. 26
  4. 15
  5. 17
  6. 8
  7. 66
  8. 45
  9. 144
  10. 54
  11. 36
  12. 98
  13. 116
  14. 28
  15. 88
  16. 80
  17. 27
  18. 78
  19. 140
  20. 48
  21. 150
  22. 8
  23. 30
  24. 264
  25. 228
  26. 175
  27. 18
  28. 16
  29. 171
  30. 77
  31. 30
  32. 96
  33. 477
  34. 81
  35. 112
  36. 35
  37. 50
  38. 188
  39. 192
  40. 47

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