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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 985 · 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 ₹45 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  3. 3.Rice at ₹48 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  4. 4.A grocer mixes 4 kg of tea at ₹24 per kg with 4 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹74 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  6. 6.A 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  7. 7.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  8. 8.A grocer mixes 2 kg of tea at ₹102 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 40 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?
  10. 10.Rice at ₹75 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  11. 11.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  12. 12.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  13. 13.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?
  14. 14.A grocer mixes 8 kg of tea at ₹43 per kg with 2 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 3 kg of tea at ₹29 per kg with 4 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 3 kg of tea at ₹78 per kg with 3 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  18. 18.A grocer mixes 5 kg of tea at ₹63 per kg with 8 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.Rice at ₹25 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  21. 21.A grocer mixes 3 kg of tea at ₹78 per kg with 6 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  23. 23.Rice at ₹48 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.Rice at ₹23 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  25. 25.Rice at ₹30 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.A grocer mixes 2 kg of tea at ₹62 per kg with 10 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A grocer mixes 2 kg of tea at ₹35 per kg with 4 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  30. 30.Rice at ₹33 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  31. 31.Rice at ₹71 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  32. 32.A grocer mixes 7 kg of tea at ₹98 per kg with 4 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  34. 34.A grocer mixes 12 kg of tea at ₹101 per kg with 6 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹73 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  36. 36.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?
  37. 37.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  38. 38.Rice at ₹74 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  39. 39.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A grocer mixes 3 kg of tea at ₹82 per kg with 9 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 6
  2. 8
  3. 6
  4. 46
  5. 9
  6. 10
  7. 20
  8. 50
  9. 40
  10. 3
  11. 18
  12. 6
  13. 60
  14. 45
  15. 77
  16. 61
  17. 21
  18. 55
  19. 25
  20. 15
  21. 104
  22. 18
  23. 1
  24. 5
  25. 8
  26. 57
  27. 28
  28. 75
  29. 40
  30. 36
  31. 35
  32. 94
  33. 3
  34. 104
  35. 32
  36. 60
  37. 3
  38. 2
  39. 50
  40. 88

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