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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 36 · 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 ₹23 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  2. 2.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 5 : 4?
  3. 3.A grocer mixes 9 kg of tea at ₹64 per kg with 5 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹72 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  5. 5.A 40-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?
  6. 6.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?
  7. 7.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?
  8. 8.A 36-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?
  9. 9.A grocer mixes 2 kg of tea at ₹59 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.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?
  12. 12.Rice at ₹20 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  13. 13.Rice at ₹25 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  14. 14.A grocer mixes 8 kg of tea at ₹83 per kg with 10 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹20 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  16. 16.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  17. 17.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  19. 19.Rice at ₹21 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  20. 20.Rice at ₹62 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.A 24-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  22. 22.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  23. 23.A grocer mixes 9 kg of tea at ₹100 per kg with 9 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹57 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  25. 25.A jug has 10 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?
  26. 26.A jug has 20 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?
  27. 27.A grocer mixes 3 kg of tea at ₹51 per kg with 8 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 9 kg of tea at ₹42 per kg with 3 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹44 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  30. 30.A jug has 10 litres of a drink that is 10% mango juice. 2 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 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  32. 32.A grocer mixes 9 kg of tea at ₹31 per kg with 9 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  34. 34.A grocer mixes 6 kg of tea at ₹106 per kg with 2 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹31 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  36. 36.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  37. 37.A 54-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?
  38. 38.A grocer mixes 2 kg of tea at ₹64 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 63-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?
  40. 40.A grocer mixes 9 kg of tea at ₹75 per kg with 9 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 3
  2. 21
  3. 59
  4. 14
  5. 8
  6. 60
  7. 32
  8. 24
  9. 67
  10. 60
  11. 70
  12. 4
  13. 1
  14. 68
  15. 5
  16. 12
  17. 76
  18. 27
  19. 2
  20. 6
  21. 12
  22. 16
  23. 76
  24. 48
  25. 40
  26. 60
  27. 83
  28. 55
  29. 8
  30. 25
  31. 32
  32. 44
  33. 28
  34. 100
  35. 12
  36. 27
  37. 9
  38. 52
  39. 28
  40. 82

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