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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 629 · 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 ₹54 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.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?
  3. 3.Rice at ₹69 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  4. 4.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?
  5. 5.Rice at ₹49 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  6. 6.Rice at ₹43 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  7. 7.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?
  8. 8.Rice at ₹60 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.A grocer mixes 7 kg of tea at ₹82 per kg with 5 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.Rice at ₹49 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  12. 12.A 36-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  13. 13.Rice at ₹30 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.Rice at ₹20 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  15. 15.A grocer mixes 6 kg of tea at ₹60 per kg with 2 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  18. 18.Rice at ₹77 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.Rice at ₹67 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.Rice at ₹64 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  21. 21.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.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?
  23. 23.Rice at ₹71 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  24. 24.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?
  25. 25.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  26. 26.Rice at ₹28 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  27. 27.Rice at ₹23 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  28. 28.A grocer mixes 4 kg of tea at ₹107 per kg with 8 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 32-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?
  30. 30.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  31. 31.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  32. 32.A grocer mixes 2 kg of tea at ₹85 per kg with 8 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹60 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  34. 34.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?
  35. 35.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  36. 36.Rice at ₹22 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  37. 37.A grocer mixes 2 kg of tea at ₹104 per kg with 10 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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 : 5?
  39. 39.A 32-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?
  40. 40.A grocer mixes 5 kg of tea at ₹52 per kg with 5 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 5
  2. 36
  3. 24
  4. 75
  5. 16
  6. 20
  7. 60
  8. 3
  9. 87
  10. 4
  11. 48
  12. 16
  13. 6
  14. 35
  15. 62
  16. 14
  17. 6
  18. 2
  19. 12
  20. 15
  21. 36
  22. 68
  23. 28
  24. 60
  25. 3
  26. 1
  27. 18
  28. 67
  29. 8
  30. 20
  31. 28
  32. 113
  33. 28
  34. 55
  35. 3
  36. 4
  37. 39
  38. 20
  39. 4
  40. 60

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