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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 180 · 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 ₹35 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  2. 2.A jug has 20 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?
  3. 3.Rice at ₹77 per kg is mixed with rice at ₹131 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?
  4. 4.Rice at ₹26 per kg is mixed with rice at ₹38 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?
  5. 5.Rice at ₹51 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  6. 6.A 48-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?
  7. 7.A 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  8. 8.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  9. 9.A 36-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?
  10. 10.Rice at ₹22 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  11. 11.A grocer mixes 4 kg of tea at ₹107 per kg with 12 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹25 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 6 kg of the dearer rice?
  13. 13.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?
  14. 14.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 : 7?
  15. 15.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  16. 16.Rice at ₹68 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  17. 17.Rice at ₹46 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  18. 18.A grocer mixes 6 kg of tea at ₹99 per kg with 6 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹40 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  22. 22.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.Rice at ₹44 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  24. 24.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  25. 25.A grocer mixes 5 kg of tea at ₹78 per kg with 6 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 5 kg of tea at ₹49 per kg with 10 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 10 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?
  28. 28.A jug has 50 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?
  29. 29.Rice at ₹21 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  30. 30.Rice at ₹64 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  31. 31.Rice at ₹34 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.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?
  33. 33.Rice at ₹78 per kg is mixed with rice at ₹155 per kg to make a mix worth ₹120 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  34. 34.Rice at ₹47 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  35. 35.A grocer mixes 5 kg of tea at ₹59 per kg with 12 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹40 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  37. 37.Rice at ₹64 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.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?
  39. 39.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  40. 40.A grocer mixes 8 kg of tea at ₹104 per kg with 2 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 25
  2. 50
  3. 28
  4. 24
  5. 20
  6. 6
  7. 24
  8. 40
  9. 16
  10. 12
  11. 47
  12. 18
  13. 40
  14. 9
  15. 20
  16. 25
  17. 42
  18. 95
  19. 60
  20. 50
  21. 6
  22. 50
  23. 4
  24. 24
  25. 84
  26. 63
  27. 80
  28. 25
  29. 5
  30. 15
  31. 36
  32. 25
  33. 40
  34. 10
  35. 71
  36. 35
  37. 6
  38. 70
  39. 24
  40. 98

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