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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 813 · 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 jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A 25-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?
  4. 4.Rice at ₹39 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  5. 5.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?
  6. 6.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.A grocer mixes 6 kg of tea at ₹87 per kg with 2 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 6 kg of tea at ₹47 per kg with 10 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹64 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  10. 10.Rice at ₹60 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  11. 11.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  12. 12.Rice at ₹32 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.A grocer mixes 2 kg of tea at ₹29 per kg with 6 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A grocer mixes 3 kg of tea at ₹62 per kg with 9 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹34 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  17. 17.A 14-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?
  18. 18.Rice at ₹79 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.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?
  20. 20.A grocer mixes 2 kg of tea at ₹111 per kg with 4 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 10 kg of tea at ₹23 per kg with 10 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 4 kg of tea at ₹47 per kg with 11 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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 : 8?
  24. 24.Rice at ₹42 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.Rice at ₹50 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  26. 26.Rice at ₹41 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  27. 27.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?
  28. 28.A grocer mixes 12 kg of tea at ₹103 per kg with 9 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹41 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.A jug has 40 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹42 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  32. 32.A grocer mixes 8 kg of tea at ₹53 per kg with 4 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 10 kg of tea at ₹47 per kg with 5 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹57 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.A grocer mixes 11 kg of tea at ₹50 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 21-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  37. 37.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?
  38. 38.Rice at ₹65 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.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?
  40. 40.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?

Answer key

  1. 50
  2. 50
  3. 10
  4. 6
  5. 25
  6. 6
  7. 86
  8. 32
  9. 6
  10. 3
  11. 8
  12. 16
  13. 23
  14. 50
  15. 101
  16. 14
  17. 8
  18. 12
  19. 52
  20. 101
  21. 31
  22. 91
  23. 10
  24. 4
  25. 10
  26. 24
  27. 68
  28. 97
  29. 4
  30. 40
  31. 6
  32. 74
  33. 59
  34. 8
  35. 42
  36. 12
  37. 50
  38. 6
  39. 40
  40. 24

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