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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 804 · 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 91-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?
  2. 2.Rice at ₹66 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  3. 3.A grocer mixes 6 kg of tea at ₹87 per kg with 8 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  5. 5.Rice at ₹52 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  6. 6.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.Rice at ₹56 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  8. 8.Rice at ₹51 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹57 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 ₹73 per kg with 3 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹29 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  11. 11.A 30-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  12. 12.A 63-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  13. 13.Rice at ₹57 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  14. 14.A 35-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?
  15. 15.A grocer mixes 12 kg of tea at ₹48 per kg with 8 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 3 kg of tea at ₹108 per kg with 3 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 9 kg of tea at ₹93 per kg with 9 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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 : 5?
  19. 19.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?
  20. 20.A grocer mixes 8 kg of tea at ₹86 per kg with 3 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹78 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  23. 23.Rice at ₹68 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.Rice at ₹63 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  25. 25.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 8 kg of tea at ₹110 per kg with 4 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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 1 : 1?
  28. 28.A 42-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  29. 29.A grocer mixes 6 kg of tea at ₹77 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 10 kg of tea at ₹98 per kg with 5 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹45 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.A grocer mixes 11 kg of tea at ₹47 per kg with 5 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 6 kg of tea at ₹39 per kg with 3 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 40 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.Rice at ₹37 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.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?
  37. 37.Rice at ₹51 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.Rice at ₹54 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.Rice at ₹71 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.A grocer mixes 3 kg of tea at ₹31 per kg with 12 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 14
  2. 7
  3. 99
  4. 12
  5. 32
  6. 50
  7. 21
  8. 3
  9. 67
  10. 6
  11. 5
  12. 14
  13. 5
  14. 20
  15. 50
  16. 92
  17. 97
  18. 20
  19. 70
  20. 68
  21. 2
  22. 4
  23. 1
  24. 7
  25. 80
  26. 95
  27. 9
  28. 14
  29. 59
  30. 103
  31. 30
  32. 67
  33. 56
  34. 52
  35. 10
  36. 25
  37. 9
  38. 15
  39. 18
  40. 83

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