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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 509 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.Rice at ₹63 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  4. 4.A 80-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  5. 5.A 44-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  6. 6.A 36-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  7. 7.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  8. 8.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  9. 9.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  10. 10.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A grocer mixes 9 kg of tea at ₹82 per kg with 7 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹28 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  13. 13.A 104-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  14. 14.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  15. 15.A grocer mixes 6 kg of tea at ₹61 per kg with 2 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  17. 17.Rice at ₹60 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  18. 18.Rice at ₹61 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.Rice at ₹66 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  21. 21.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.Rice at ₹69 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  23. 23.Rice at ₹68 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.Rice at ₹58 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  25. 25.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.Rice at ₹37 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  27. 27.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  28. 28.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  29. 29.A jug has 40 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A grocer mixes 9 kg of tea at ₹94 per kg with 9 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹77 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  32. 32.A grocer mixes 9 kg of tea at ₹114 per kg with 4 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹76 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  34. 34.Rice at ₹25 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  35. 35.Rice at ₹59 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  36. 36.A jug has 10 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  38. 38.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  39. 39.Rice at ₹65 per kg is mixed with rice at ₹153 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 8
  2. 80
  3. 2
  4. 20
  5. 16
  6. 4
  7. 16
  8. 20
  9. 6
  10. 50
  11. 68
  12. 8
  13. 8
  14. 9
  15. 74
  16. 3
  17. 24
  18. 20
  19. 50
  20. 5
  21. 50
  22. 16
  23. 1
  24. 3
  25. 8
  26. 9
  27. 36
  28. 12
  29. 60
  30. 69
  31. 20
  32. 110
  33. 2
  34. 35
  35. 6
  36. 55
  37. 32
  38. 16
  39. 12
  40. 25

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