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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 954 · 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 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  2. 2.Rice at ₹30 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  3. 3.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  4. 4.Rice at ₹27 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  5. 5.Rice at ₹22 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.A 30-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  7. 7.A 45-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  8. 8.A grocer mixes 12 kg of tea at ₹34 per kg with 6 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 8 kg of tea at ₹56 per kg with 3 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹45 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  11. 11.A jug has 20 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?
  12. 12.A jug has 10 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?
  13. 13.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  14. 14.A grocer mixes 3 kg of tea at ₹95 per kg with 6 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹79 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  16. 16.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  17. 17.A grocer mixes 8 kg of tea at ₹43 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹31 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  19. 19.A grocer mixes 2 kg of tea at ₹77 per kg with 2 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 2 kg of tea at ₹88 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 4 kg of tea at ₹37 per kg with 8 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 8 kg of tea at ₹116 per kg with 4 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 8 kg of tea at ₹61 per kg with 4 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.A grocer mixes 12 kg of tea at ₹93 per kg with 7 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 4 kg of tea at ₹116 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  28. 28.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  29. 29.Rice at ₹56 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  30. 30.Rice at ₹66 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  31. 31.Rice at ₹36 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  33. 33.Rice at ₹54 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  34. 34.Rice at ₹60 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  35. 35.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  36. 36.Rice at ₹40 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  37. 37.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 6 : 11?
  38. 38.Rice at ₹44 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  39. 39.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?
  40. 40.A grocer mixes 2 kg of tea at ₹47 per kg with 4 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 16
  2. 6
  3. 4
  4. 15
  5. 6
  6. 12
  7. 10
  8. 38
  9. 50
  10. 25
  11. 52
  12. 50
  13. 4
  14. 103
  15. 5
  16. 16
  17. 59
  18. 28
  19. 91
  20. 55
  21. 35
  22. 108
  23. 76
  24. 70
  25. 100
  26. 92
  27. 12
  28. 24
  29. 7
  30. 9
  31. 3
  32. 32
  33. 2
  34. 12
  35. 6
  36. 10
  37. 36
  38. 6
  39. 50
  40. 35

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