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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 151 · 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 jug has 10 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?
  2. 2.A 56-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  3. 3.A grocer mixes 6 kg of tea at ₹61 per kg with 12 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹68 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  5. 5.Rice at ₹68 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  6. 6.A 49-litre mix has milk and water in the ratio 4 : 3. 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. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹69 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  9. 9.A grocer mixes 5 kg of tea at ₹60 per kg with 10 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 40 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  12. 12.A grocer mixes 4 kg of tea at ₹42 per kg with 4 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  14. 14.A jug has 20 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?
  15. 15.A grocer mixes 12 kg of tea at ₹84 per kg with 3 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹39 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  17. 17.A 15-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?
  18. 18.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  19. 19.A grocer mixes 12 kg of tea at ₹36 per kg with 10 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 91-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.Rice at ₹23 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  22. 22.Rice at ₹57 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 35 kg of the dearer rice?
  23. 23.A grocer mixes 9 kg of tea at ₹111 per kg with 5 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹62 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  25. 25.Rice at ₹28 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  26. 26.Rice at ₹72 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  27. 27.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 : 6?
  28. 28.A 60-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  29. 29.Rice at ₹30 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  30. 30.A jug has 25 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?
  31. 31.A 40-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?
  32. 32.Rice at ₹30 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  33. 33.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A grocer mixes 9 kg of tea at ₹48 per kg with 12 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹75 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  36. 36.Rice at ₹51 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  37. 37.A grocer mixes 4 kg of tea at ₹25 per kg with 7 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.Rice at ₹31 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 70
  2. 8
  3. 51
  4. 5
  5. 6
  6. 7
  7. 70
  8. 12
  9. 34
  10. 20
  11. 10
  12. 75
  13. 18
  14. 40
  15. 73
  16. 24
  17. 20
  18. 20
  19. 41
  20. 7
  21. 18
  22. 14
  23. 86
  24. 12
  25. 30
  26. 14
  27. 4
  28. 24
  29. 35
  30. 50
  31. 15
  32. 4
  33. 50
  34. 56
  35. 8
  36. 16
  37. 67
  38. 60
  39. 1
  40. 2

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