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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 484 · 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 ₹50 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 28 kg of the dearer rice?
  2. 2.Rice at ₹57 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  3. 3.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?
  4. 4.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?
  5. 5.A grocer mixes 11 kg of tea at ₹62 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 12 kg of tea at ₹51 per kg with 12 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹20 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.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?
  9. 9.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  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.Rice at ₹77 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  12. 12.A 49-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?
  13. 13.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 2 : 5?
  14. 14.A 77-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  15. 15.Rice at ₹40 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  16. 16.A grocer mixes 2 kg of tea at ₹77 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 10 litres of a drink that is 40% mango juice. 2 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 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  19. 19.Rice at ₹59 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  20. 20.A grocer mixes 3 kg of tea at ₹81 per kg with 3 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹28 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  22. 22.Rice at ₹29 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  23. 23.Rice at ₹35 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.Rice at ₹22 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  25. 25.A 72-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  26. 26.A grocer mixes 9 kg of tea at ₹42 per kg with 9 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹40 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  28. 28.A grocer mixes 11 kg of tea at ₹95 per kg with 11 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A jug has 20 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?
  30. 30.Rice at ₹39 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  31. 31.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹23 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹31 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 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.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?
  35. 35.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  36. 36.A grocer mixes 4 kg of tea at ₹28 per kg with 2 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹66 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.Rice at ₹59 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.A grocer mixes 10 kg of tea at ₹98 per kg with 4 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?

Answer key

  1. 7
  2. 25
  3. 60
  4. 40
  5. 54
  6. 37
  7. 40
  8. 50
  9. 75
  10. 20
  11. 3
  12. 7
  13. 36
  14. 21
  15. 6
  16. 64
  17. 50
  18. 12
  19. 16
  20. 86
  21. 3
  22. 8
  23. 9
  24. 48
  25. 32
  26. 40
  27. 6
  28. 101
  29. 28
  30. 8
  31. 80
  32. 25
  33. 25
  34. 70
  35. 9
  36. 42
  37. 3
  38. 2
  39. 88
  40. 24

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