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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 614 · 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 grocer mixes 2 kg of tea at ₹28 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A 50-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  4. 4.A grocer mixes 12 kg of tea at ₹64 per kg with 6 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 8 kg of tea at ₹34 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹48 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  7. 7.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  8. 8.A 63-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?
  9. 9.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 : 9?
  10. 10.A grocer mixes 12 kg of tea at ₹101 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 6 kg of tea at ₹27 per kg with 9 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  14. 14.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?
  15. 15.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  16. 16.Rice at ₹77 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  17. 17.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?
  18. 18.Rice at ₹25 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.A grocer mixes 2 kg of tea at ₹56 per kg with 6 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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 : 5?
  21. 21.A jug has 40 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?
  22. 22.Rice at ₹76 per kg is mixed with rice at ₹139 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.Rice at ₹58 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  24. 24.A grocer mixes 9 kg of tea at ₹85 per kg with 2 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 10 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?
  26. 26.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 3 : 8?
  27. 27.A grocer mixes 4 kg of tea at ₹99 per kg with 10 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  29. 29.A grocer mixes 3 kg of tea at ₹86 per kg with 11 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹22 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  31. 31.A grocer mixes 3 kg of tea at ₹62 per kg with 7 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 9 kg of tea at ₹76 per kg with 6 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹27 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.A grocer mixes 11 kg of tea at ₹35 per kg with 5 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 4 kg of tea at ₹119 per kg with 2 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 2 kg of tea at ₹33 per kg with 2 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.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 5 : 4?
  39. 39.A 35-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  40. 40.A grocer mixes 6 kg of tea at ₹60 per kg with 12 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 60
  2. 25
  3. 30
  4. 65
  5. 30
  6. 35
  7. 18
  8. 9
  9. 16
  10. 81
  11. 60
  12. 40
  13. 9
  14. 50
  15. 7
  16. 5
  17. 40
  18. 1
  19. 86
  20. 3
  21. 40
  22. 30
  23. 24
  24. 81
  25. 75
  26. 21
  27. 69
  28. 12
  29. 53
  30. 16
  31. 48
  32. 56
  33. 2
  34. 50
  35. 109
  36. 56
  37. 64
  38. 6
  39. 20
  40. 38

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