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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 792 · 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 24 kg of the dearer rice?
  2. 2.A 30-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  3. 3.Rice at ₹41 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.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 1 : 1?
  5. 5.Rice at ₹25 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.A grocer mixes 6 kg of tea at ₹93 per kg with 4 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 3 kg of tea at ₹36 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹52 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  9. 9.A grocer mixes 7 kg of tea at ₹42 per kg with 7 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹36 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  11. 11.A 72-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?
  12. 12.Rice at ₹66 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.Rice at ₹68 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  14. 14.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  16. 16.A grocer mixes 7 kg of tea at ₹42 per kg with 7 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹73 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  18. 18.Rice at ₹21 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  19. 19.Rice at ₹78 per kg is mixed with rice at ₹141 per kg to make a mix worth ₹113 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  20. 20.Rice at ₹49 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.A 14-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?
  22. 22.Rice at ₹36 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  23. 23.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?
  24. 24.Rice at ₹75 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.A 20-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?
  26. 26.A grocer mixes 4 kg of tea at ₹70 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.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 : 8?
  29. 29.A grocer mixes 6 kg of tea at ₹64 per kg with 3 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹35 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  31. 31.A grocer mixes 8 kg of tea at ₹74 per kg with 10 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.Rice at ₹52 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  34. 34.A jug has 10 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.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?
  36. 36.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 4 : 11?
  37. 37.A grocer mixes 2 kg of tea at ₹61 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 49-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?
  39. 39.Rice at ₹50 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.A grocer mixes 12 kg of tea at ₹107 per kg with 4 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 6
  2. 6
  3. 20
  4. 8
  5. 18
  6. 77
  7. 28
  8. 5
  9. 78
  10. 12
  11. 9
  12. 24
  13. 6
  14. 68
  15. 10
  16. 62
  17. 4
  18. 3
  19. 12
  20. 12
  21. 8
  22. 6
  23. 25
  24. 20
  25. 8
  26. 87
  27. 9
  28. 12
  29. 70
  30. 10
  31. 54
  32. 50
  33. 8
  34. 70
  35. 40
  36. 28
  37. 64
  38. 7
  39. 10
  40. 99

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