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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 255 · 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 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  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 1 : 1?
  3. 3.A grocer mixes 4 kg of tea at ₹62 per kg with 3 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A jug has 40 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?
  5. 5.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?
  6. 6.Rice at ₹39 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  7. 7.Rice at ₹43 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.A grocer mixes 12 kg of tea at ₹29 per kg with 12 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 25 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?
  10. 10.Rice at ₹42 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.A grocer mixes 4 kg of tea at ₹27 per kg with 7 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 2 kg of tea at ₹34 per kg with 8 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹42 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.A grocer mixes 6 kg of tea at ₹118 per kg with 12 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹69 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  16. 16.A 45-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?
  17. 17.A grocer mixes 4 kg of tea at ₹80 per kg with 4 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 3 kg of tea at ₹35 per kg with 3 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 15-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?
  20. 20.A grocer mixes 10 kg of tea at ₹56 per kg with 10 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 10 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?
  22. 22.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  23. 23.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  25. 25.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  26. 26.A jug has 40 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?
  27. 27.Rice at ₹48 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.Rice at ₹34 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  29. 29.A grocer mixes 8 kg of tea at ₹77 per kg with 12 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  31. 31.A grocer mixes 2 kg of tea at ₹56 per kg with 11 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹66 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  33. 33.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  34. 34.A grocer mixes 12 kg of tea at ₹97 per kg with 12 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  36. 36.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 25 kg of the dearer rice?
  37. 37.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?
  38. 38.Rice at ₹28 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  39. 39.A jug has 20 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?
  40. 40.A grocer mixes 5 kg of tea at ₹75 per kg with 6 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 9
  2. 32
  3. 83
  4. 25
  5. 50
  6. 36
  7. 15
  8. 36
  9. 50
  10. 15
  11. 48
  12. 82
  13. 5
  14. 106
  15. 1
  16. 18
  17. 72
  18. 54
  19. 3
  20. 85
  21. 55
  22. 8
  23. 6
  24. 10
  25. 5
  26. 60
  27. 10
  28. 4
  29. 80
  30. 6
  31. 67
  32. 36
  33. 6
  34. 90
  35. 36
  36. 5
  37. 50
  38. 25
  39. 70
  40. 93

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