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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 947 · 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. 1.6 : 4 = 18 : ?
  2. 2.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  4. 4.Divide ₹308 between Saanvi and Kabir in the ratio 2 : 5. How much does Kabir get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  6. 6.Divide ₹539 between Pooja and Zoya in the ratio 4 : 7. How much does Pooja get (in ₹)?
  7. 7.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  8. 8.9 : 2 = 63 : ?
  9. 9.Divide ₹287 between Aditya and Nisha in the ratio 3 : 4. How much does Aditya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  11. 11.Divide ₹273 between Karan and Aarav in the ratio 6 : 1. How much does Aarav get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 7 : 6. There are 42 boys. How many girls are there?
  14. 14.Divide ₹130 between Nisha and Diya in the ratio 8 : 5. How much does Nisha get (in ₹)?
  15. 15.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  16. 16.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  18. 18.Divide ₹396 between Rohan and Vivaan in the ratio 7 : 5. How much does Vivaan get (in ₹)?
  19. 19.7 : 2 = 35 : ?
  20. 20.8 : 14 = 32 : ?
  21. 21.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  22. 22.Divide ₹424 between Aarav and Sneha in the ratio 3 : 5. How much does Aarav get (in ₹)?
  23. 23.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  24. 24.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
  26. 26.Divide ₹297 between Nisha and Pooja in the ratio 2 : 9. How much does Nisha get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  29. 29.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  30. 30.3 : 14 = 21 : ?
  31. 31.Divide ₹152 between Zoya and Pooja in the ratio 1 : 7. How much does Pooja get (in ₹)?
  32. 32.10 : 4 = 30 : ?
  33. 33.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
  34. 34.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  35. 35.Divide ₹301 between Diya and Priya in the ratio 1 : 6. How much does Priya get (in ₹)?
  36. 36.Divide ₹480 between Diya and Kavya in the ratio 3 : 5. How much does Kavya get (in ₹)?
  37. 37.Divide ₹560 between Meera and Tara in the ratio 7 : 3. How much does Meera get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  39. 39.Divide ₹210 between Meera and Arjun in the ratio 8 : 7. How much does Meera get (in ₹)?
  40. 40.9 : 7 = 72 : ?

Answer key

  1. 12
  2. 54
  3. 12
  4. 220
  5. 56
  6. 196
  7. 225
  8. 14
  9. 123
  10. 14
  11. 39
  12. 6
  13. 36
  14. 80
  15. 12
  16. 12
  17. 35
  18. 165
  19. 10
  20. 56
  21. 48
  22. 159
  23. 125
  24. 24
  25. 6
  26. 54
  27. 50
  28. 35
  29. 64
  30. 98
  31. 133
  32. 12
  33. 6
  34. 100
  35. 258
  36. 300
  37. 392
  38. 5
  39. 112
  40. 56

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