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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 481 · 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 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.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?
  3. 3.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  4. 4.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?
  5. 5.A jug has 20 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?
  6. 6.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.Rice at ₹68 per kg is mixed with rice at ₹156 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  8. 8.A 40-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  9. 9.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?
  10. 10.Rice at ₹78 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.A grocer mixes 10 kg of tea at ₹21 per kg with 2 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 4 kg of tea at ₹111 per kg with 3 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹29 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  14. 14.Rice at ₹71 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.Rice at ₹37 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 3 kg of the dearer rice?
  16. 16.A grocer mixes 5 kg of tea at ₹80 per kg with 5 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  18. 18.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  20. 20.A grocer mixes 3 kg of tea at ₹84 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹68 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.A 63-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?
  23. 23.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  24. 24.A grocer mixes 11 kg of tea at ₹75 per kg with 12 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  26. 26.A 36-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?
  27. 27.A 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  28. 28.A grocer mixes 6 kg of tea at ₹114 per kg with 2 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 28-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  30. 30.Rice at ₹44 per kg is mixed with rice at ₹107 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?
  31. 31.Rice at ₹41 per kg is mixed with rice at ₹105 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?
  32. 32.A grocer mixes 5 kg of tea at ₹46 per kg with 5 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 3 kg of tea at ₹31 per kg with 3 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹32 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.Rice at ₹60 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  36. 36.Rice at ₹47 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  37. 37.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A grocer mixes 6 kg of tea at ₹49 per kg with 5 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 12-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?
  40. 40.A grocer mixes 3 kg of tea at ₹103 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 70
  2. 50
  3. 9
  4. 50
  5. 70
  6. 75
  7. 42
  8. 5
  9. 50
  10. 4
  11. 35
  12. 93
  13. 24
  14. 3
  15. 18
  16. 52
  17. 20
  18. 8
  19. 7
  20. 75
  21. 5
  22. 7
  23. 32
  24. 63
  25. 6
  26. 8
  27. 6
  28. 115
  29. 14
  30. 4
  31. 9
  32. 35
  33. 67
  34. 15
  35. 8
  36. 21
  37. 40
  38. 79
  39. 4
  40. 64

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