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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 396 · 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.A 66-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  2. 2.A jug has 20 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?
  3. 3.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  4. 4.A grocer mixes 12 kg of tea at ₹43 per kg with 12 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 3 kg of tea at ₹110 per kg with 3 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹63 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  7. 7.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹45 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  10. 10.Rice at ₹35 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  11. 11.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  12. 12.Rice at ₹55 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  13. 13.A grocer mixes 11 kg of tea at ₹60 per kg with 11 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 35-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?
  15. 15.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  16. 16.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  18. 18.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  19. 19.A grocer mixes 5 kg of tea at ₹97 per kg with 4 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 24-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?
  21. 21.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?
  22. 22.Rice at ₹28 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  24. 24.A grocer mixes 3 kg of tea at ₹68 per kg with 6 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹32 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  27. 27.A grocer mixes 5 kg of tea at ₹39 per kg with 5 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 2 kg of tea at ₹43 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹23 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  30. 30.Rice at ₹72 per kg is mixed with rice at ₹149 per kg to make a mix worth ₹114 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  31. 31.A grocer mixes 4 kg of tea at ₹91 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹37 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  33. 33.A jug has 40 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A jug has 40 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.Rice at ₹30 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  36. 36.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 : 6?
  37. 37.A grocer mixes 2 kg of tea at ₹118 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹68 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  39. 39.A 108-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  40. 40.A grocer mixes 3 kg of tea at ₹110 per kg with 2 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 12
  2. 52
  3. 6
  4. 45
  5. 109
  6. 5
  7. 50
  8. 70
  9. 10
  10. 20
  11. 18
  12. 42
  13. 49
  14. 7
  15. 9
  16. 50
  17. 16
  18. 21
  19. 101
  20. 16
  21. 40
  22. 4
  23. 12
  24. 96
  25. 1
  26. 9
  27. 72
  28. 75
  29. 18
  30. 30
  31. 100
  32. 5
  33. 52
  34. 40
  35. 48
  36. 8
  37. 78
  38. 8
  39. 9
  40. 90

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