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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 753 · 40 questions
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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 grocer mixes 4 kg of tea at ₹46 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 9 kg of tea at ₹81 per kg with 6 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 8 kg of tea at ₹55 per kg with 5 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  5. 5.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 1 : 1?
  6. 6.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?
  7. 7.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  8. 8.A grocer mixes 3 kg of tea at ₹30 per kg with 3 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 54-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  10. 10.Rice at ₹79 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A grocer mixes 8 kg of tea at ₹57 per kg with 8 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.Rice at ₹42 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  15. 15.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?
  16. 16.Rice at ₹49 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  17. 17.A jug has 20 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?
  18. 18.A grocer mixes 12 kg of tea at ₹92 per kg with 12 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 3 kg of tea at ₹88 per kg with 6 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 11 kg of tea at ₹38 per kg with 11 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹74 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  23. 23.Rice at ₹54 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  24. 24.Rice at ₹27 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.A grocer mixes 7 kg of tea at ₹36 per kg with 7 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  27. 27.Rice at ₹60 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  29. 29.A grocer mixes 11 kg of tea at ₹59 per kg with 6 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹23 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A grocer mixes 5 kg of tea at ₹115 per kg with 10 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 9 kg of tea at ₹108 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹23 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  34. 34.A grocer mixes 12 kg of tea at ₹91 per kg with 7 kg of tea at ₹34 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 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  36. 36.A grocer mixes 10 kg of tea at ₹64 per kg with 10 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹101 per kg with 5 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A grocer mixes 6 kg of tea at ₹26 per kg with 9 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 4 kg of tea at ₹95 per kg with 5 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 35
  2. 93
  3. 60
  4. 4
  5. 12
  6. 80
  7. 27
  8. 42
  9. 24
  10. 5
  11. 60
  12. 39
  13. 60
  14. 30
  15. 70
  16. 7
  17. 50
  18. 75
  19. 62
  20. 77
  21. 20
  22. 8
  23. 5
  24. 16
  25. 42
  26. 10
  27. 4
  28. 5
  29. 65
  30. 15
  31. 79
  32. 88
  33. 2
  34. 70
  35. 12
  36. 71
  37. 91
  38. 50
  39. 35
  40. 75

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