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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 336 · 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 ₹35 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  2. 2.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  3. 3.Rice at ₹60 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  4. 4.A 28-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?
  5. 5.A grocer mixes 12 kg of tea at ₹36 per kg with 6 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹37 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  7. 7.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?
  8. 8.A 70-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?
  9. 9.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?
  10. 10.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?
  11. 11.A grocer mixes 11 kg of tea at ₹81 per kg with 11 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 11 kg of tea at ₹79 per kg with 8 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹73 per kg is mixed with rice at ₹98 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?
  14. 14.A 48-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?
  15. 15.Rice at ₹68 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.Rice at ₹77 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  17. 17.A 44-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?
  18. 18.Rice at ₹52 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  19. 19.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A grocer mixes 3 kg of tea at ₹70 per kg with 3 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹29 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  22. 22.Rice at ₹24 per kg is mixed with rice at ₹42 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?
  23. 23.A 35-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?
  24. 24.Rice at ₹27 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  25. 25.Rice at ₹58 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.Rice at ₹74 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  27. 27.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.Rice at ₹44 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  29. 29.Rice at ₹31 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  30. 30.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?
  31. 31.A grocer mixes 8 kg of tea at ₹96 per kg with 7 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹50 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  33. 33.A grocer mixes 11 kg of tea at ₹20 per kg with 11 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 63-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?
  35. 35.A grocer mixes 11 kg of tea at ₹47 per kg with 7 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  37. 37.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?
  38. 38.A grocer mixes 3 kg of tea at ₹98 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹77 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 4
  2. 5
  3. 12
  4. 16
  5. 64
  6. 12
  7. 6
  8. 28
  9. 60
  10. 52
  11. 58
  12. 63
  13. 18
  14. 12
  15. 2
  16. 7
  17. 4
  18. 7
  19. 50
  20. 56
  21. 15
  22. 2
  23. 21
  24. 32
  25. 9
  26. 5
  27. 60
  28. 35
  29. 15
  30. 25
  31. 68
  32. 3
  33. 69
  34. 9
  35. 54
  36. 40
  37. 55
  38. 70
  39. 15
  40. 68

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