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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 361 · 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.Divide ₹880 between Nisha and Zoya in the ratio 9 : 7. How much does Nisha get (in ₹)?
  2. 2.Divide ₹234 between Priya and Isha in the ratio 4 : 9. How much does Priya get (in ₹)?
  3. 3.2 : 14 = 10 : ?
  4. 4.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
  5. 5.Divide ₹247 between Ishaan and Vivaan in the ratio 5 : 8. How much does Ishaan get (in ₹)?
  6. 6.Divide ₹308 between Ishaan and Ananya in the ratio 7 : 4. How much does Ananya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  9. 9.Divide ₹392 between Dev and Vivaan in the ratio 3 : 4. How much does Dev get (in ₹)?
  10. 10.5 : 4 = 25 : ?
  11. 11.Divide ₹35 between Tara and Isha in the ratio 4 : 1. How much does Isha get (in ₹)?
  12. 12.4 : 10 = 36 : ?
  13. 13.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  14. 14.11 : 6 = 99 : ?
  15. 15.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  17. 17.Divide ₹208 between Saanvi and Ishaan in the ratio 5 : 3. How much does Ishaan get (in ₹)?
  18. 18.7 : 2 = 49 : ?
  19. 19.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  20. 20.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  21. 21.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  22. 22.Divide ₹825 between Isha and Vivaan in the ratio 7 : 8. How much does Isha get (in ₹)?
  23. 23.Divide ₹250 between Sneha and Manav in the ratio 1 : 4. How much does Manav get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  25. 25.Divide ₹182 between Meera and Isha in the ratio 7 : 6. How much does Meera get (in ₹)?
  26. 26.Divide ₹32 between Kavya and Pooja in the ratio 3 : 1. How much does Pooja get (in ₹)?
  27. 27.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  28. 28.10 : 14 = 70 : ?
  29. 29.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  32. 32.5 : 15 = 15 : ?
  33. 33.Divide ₹918 between Meera and Rohan in the ratio 9 : 8. How much does Meera get (in ₹)?
  34. 34.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  35. 35.Divide ₹340 between Tara and Nisha in the ratio 8 : 9. How much does Nisha get (in ₹)?
  36. 36.12 : 15 = 48 : ?
  37. 37.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  38. 38.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  39. 39.4 : 14 = 12 : ?
  40. 40.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?

Answer key

  1. 495
  2. 72
  3. 70
  4. 64
  5. 95
  6. 112
  7. 36
  8. 16
  9. 168
  10. 20
  11. 7
  12. 90
  13. 27
  14. 54
  15. 90
  16. 36
  17. 78
  18. 14
  19. 35
  20. 50
  21. 10
  22. 385
  23. 200
  24. 4
  25. 98
  26. 8
  27. 63
  28. 98
  29. 24
  30. 30
  31. 10
  32. 45
  33. 486
  34. 12
  35. 180
  36. 60
  37. 32
  38. 20
  39. 42
  40. 2

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