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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 102 · 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 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  2. 2.A jug has 40 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?
  3. 3.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 : 2?
  4. 4.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?
  5. 5.Rice at ₹52 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  7. 7.A 26-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  8. 8.A grocer mixes 10 kg of tea at ₹41 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 20 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 ₹79 per kg is mixed with rice at ₹133 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  11. 11.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  12. 12.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  13. 13.A jug has 10 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?
  14. 14.Rice at ₹75 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  15. 15.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?
  16. 16.Rice at ₹39 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  17. 17.Rice at ₹56 per kg is mixed with rice at ₹96 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?
  18. 18.A grocer mixes 10 kg of tea at ₹93 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 4 kg of tea at ₹102 per kg with 8 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 4 kg of tea at ₹86 per kg with 2 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 50-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  22. 22.Rice at ₹32 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.Rice at ₹79 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.A grocer mixes 12 kg of tea at ₹101 per kg with 6 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 5 kg of tea at ₹107 per kg with 10 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A 24-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  28. 28.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 : 5?
  29. 29.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 4 : 9?
  30. 30.A grocer mixes 3 kg of tea at ₹26 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹69 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  32. 32.A grocer mixes 4 kg of tea at ₹35 per kg with 2 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.Rice at ₹39 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  36. 36.Rice at ₹32 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  37. 37.A grocer mixes 4 kg of tea at ₹52 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹60 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  39. 39.Rice at ₹71 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹76 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 ₹99 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 8
  2. 20
  3. 6
  4. 60
  5. 3
  6. 6
  7. 6
  8. 47
  9. 52
  10. 16
  11. 16
  12. 6
  13. 40
  14. 10
  15. 70
  16. 6
  17. 10
  18. 81
  19. 50
  20. 88
  21. 20
  22. 9
  23. 24
  24. 77
  25. 73
  26. 50
  27. 6
  28. 12
  29. 4
  30. 40
  31. 2
  32. 54
  33. 60
  34. 8
  35. 16
  36. 20
  37. 58
  38. 9
  39. 30
  40. 107

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