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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 831 · 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 ₹60 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  2. 2.A grocer mixes 7 kg of tea at ₹69 per kg with 7 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹53 per kg is mixed with rice at ₹141 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.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 : 4?
  5. 5.A grocer mixes 4 kg of tea at ₹81 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹31 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.A grocer mixes 9 kg of tea at ₹98 per kg with 9 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹53 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  9. 9.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.A grocer mixes 12 kg of tea at ₹40 per kg with 8 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹35 per kg is mixed with rice at ₹62 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?
  12. 12.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?
  13. 13.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.Rice at ₹36 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  15. 15.Rice at ₹75 per kg is mixed with rice at ₹85 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?
  16. 16.Rice at ₹50 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  17. 17.Rice at ₹75 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  18. 18.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  19. 19.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?
  20. 20.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A grocer mixes 5 kg of tea at ₹53 per kg with 2 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 9-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?
  23. 23.Rice at ₹47 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  24. 24.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?
  25. 25.A 16-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.Rice at ₹70 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.A grocer mixes 4 kg of tea at ₹59 per kg with 8 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹51 per kg is mixed with rice at ₹123 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?
  29. 29.A jug has 20 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?
  30. 30.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹26 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  32. 32.A jug has 20 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?
  33. 33.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  34. 34.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  35. 35.A 40-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?
  36. 36.A grocer mixes 8 kg of tea at ₹66 per kg with 6 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 16-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?
  38. 38.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?
  39. 39.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?
  40. 40.A jug has 20 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?

Answer key

  1. 8
  2. 59
  3. 12
  4. 18
  5. 76
  6. 5
  7. 62
  8. 5
  9. 3
  10. 54
  11. 15
  12. 6
  13. 75
  14. 7
  15. 3
  16. 30
  17. 25
  18. 8
  19. 52
  20. 36
  21. 55
  22. 12
  23. 5
  24. 68
  25. 4
  26. 10
  27. 97
  28. 15
  29. 28
  30. 75
  31. 24
  32. 40
  33. 3
  34. 2
  35. 5
  36. 63
  37. 2
  38. 60
  39. 50
  40. 60

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