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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 176 · 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 ₹41 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  2. 2.A 21-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  3. 3.Rice at ₹50 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.A grocer mixes 11 kg of tea at ₹100 per kg with 2 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹42 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  6. 6.A 42-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?
  7. 7.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?
  8. 8.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  10. 10.Rice at ₹23 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  12. 12.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 2 : 5?
  13. 13.A 32-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?
  14. 14.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  15. 15.A 70-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  16. 16.A 100-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  17. 17.A grocer mixes 11 kg of tea at ₹65 per kg with 4 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹41 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  19. 19.A grocer mixes 11 kg of tea at ₹41 per kg with 11 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹23 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  22. 22.A grocer mixes 2 kg of tea at ₹30 per kg with 12 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹54 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  24. 24.A grocer mixes 11 kg of tea at ₹84 per kg with 9 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  26. 26.A grocer mixes 3 kg of tea at ₹101 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 4 kg of tea at ₹115 per kg with 6 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  29. 29.Rice at ₹68 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  30. 30.Rice at ₹36 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  31. 31.A grocer mixes 12 kg of tea at ₹45 per kg with 4 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 6 kg of tea at ₹91 per kg with 6 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 10 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A grocer mixes 4 kg of tea at ₹70 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  36. 36.A grocer mixes 12 kg of tea at ₹97 per kg with 10 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  38. 38.A grocer mixes 4 kg of tea at ₹94 per kg with 6 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  40. 40.Rice at ₹69 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?

Answer key

  1. 21
  2. 9
  3. 16
  4. 94
  5. 4
  6. 28
  7. 55
  8. 40
  9. 12
  10. 3
  11. 6
  12. 32
  13. 8
  14. 32
  15. 7
  16. 10
  17. 57
  18. 18
  19. 34
  20. 60
  21. 5
  22. 96
  23. 2
  24. 57
  25. 18
  26. 67
  27. 82
  28. 24
  29. 14
  30. 12
  31. 54
  32. 82
  33. 60
  34. 86
  35. 20
  36. 92
  37. 4
  38. 97
  39. 6
  40. 12

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