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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 506 · 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 4 and 16 (that is, 4 : 16 = 16 : ?).
  2. 2.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  3. 3.Divide ₹212 between Saanvi and Aarav in the ratio 3 : 1. How much does Aarav get (in ₹)?
  4. 4.Divide ₹195 between Vivaan and Tara in the ratio 9 : 4. How much does Tara get (in ₹)?
  5. 5.Divide ₹48 between Manav and Karan in the ratio 5 : 1. How much does Manav get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  7. 7.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  8. 8.Divide ₹300 between Pooja and Tara in the ratio 4 : 1. How much does Pooja get (in ₹)?
  9. 9.Divide ₹380 between Karan and Nisha in the ratio 7 : 3. How much does Karan get (in ₹)?
  10. 10.Divide ₹108 between Priya and Meera in the ratio 5 : 7. How much does Priya get (in ₹)?
  11. 11.Divide ₹333 between Arjun and Meera in the ratio 7 : 2. How much does Arjun get (in ₹)?
  12. 12.5 : 11 = 45 : ?
  13. 13.Divide ₹208 between Vivaan and Dev in the ratio 5 : 3. How much does Vivaan get (in ₹)?
  14. 14.Divide ₹572 between Kabir and Tara in the ratio 3 : 8. How much does Tara get (in ₹)?
  15. 15.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  16. 16.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  17. 17.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
  18. 18.Divide ₹64 between Zoya and Aditya in the ratio 7 : 1. How much does Aditya get (in ₹)?
  19. 19.Divide ₹273 between Sneha and Tara in the ratio 8 : 5. How much does Sneha get (in ₹)?
  20. 20.9 : 14 = 54 : ?
  21. 21.Divide ₹350 between Isha and Saanvi in the ratio 1 : 6. How much does Isha get (in ₹)?
  22. 22.Divide ₹125 between Kavya and Ananya in the ratio 2 : 3. How much does Kavya get (in ₹)?
  23. 23.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  24. 24.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  25. 25.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  26. 26.9 : 15 = 27 : ?
  27. 27.Divide ₹323 between Isha and Vivaan in the ratio 9 : 8. How much does Isha get (in ₹)?
  28. 28.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  29. 29.2 : 4 = 16 : ?
  30. 30.Divide ₹392 between Ananya and Vivaan in the ratio 4 : 3. How much does Ananya get (in ₹)?
  31. 31.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  32. 32.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  34. 34.8 : 4 = 40 : ?
  35. 35.7 : 4 = 49 : ?
  36. 36.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  37. 37.11 : 15 = 88 : ?
  38. 38.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  40. 40.Divide ₹204 between Arjun and Zoya in the ratio 3 : 1. How much does Zoya get (in ₹)?

Answer key

  1. 64
  2. 63
  3. 53
  4. 60
  5. 40
  6. 49
  7. 225
  8. 240
  9. 266
  10. 45
  11. 259
  12. 99
  13. 130
  14. 416
  15. 100
  16. 50
  17. 72
  18. 8
  19. 168
  20. 84
  21. 50
  22. 50
  23. 36
  24. 28
  25. 5
  26. 45
  27. 171
  28. 72
  29. 32
  30. 224
  31. 8
  32. 81
  33. 49
  34. 20
  35. 28
  36. 32
  37. 120
  38. 90
  39. 24
  40. 51

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