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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 129 · 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 10 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?
  2. 2.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  3. 3.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  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 ₹27 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.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?
  7. 7.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?
  8. 8.A jug has 40 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?
  9. 9.A grocer mixes 4 kg of tea at ₹100 per kg with 5 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 3 kg of tea at ₹35 per kg with 2 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  12. 12.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?
  13. 13.A grocer mixes 4 kg of tea at ₹20 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 10 kg of tea at ₹21 per kg with 10 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹55 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  16. 16.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.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?
  18. 18.A 63-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?
  19. 19.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.Rice at ₹77 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  21. 21.Rice at ₹32 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  22. 22.Rice at ₹48 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  23. 23.A 35-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  24. 24.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?
  25. 25.A grocer mixes 2 kg of tea at ₹35 per kg with 6 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 3 kg of tea at ₹118 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹73 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  28. 28.A jug has 20 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?
  29. 29.A grocer mixes 3 kg of tea at ₹49 per kg with 7 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 20 litres of a drink that is 25% mango juice. 5 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 ₹42 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 40-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?
  33. 33.Rice at ₹38 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  34. 34.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  36. 36.Rice at ₹70 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  38. 38.Rice at ₹63 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 16 kg of the dearer rice?
  39. 39.Rice at ₹65 per kg is mixed with rice at ₹72 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?
  40. 40.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?

Answer key

  1. 70
  2. 30
  3. 4
  4. 75
  5. 30
  6. 75
  7. 68
  8. 40
  9. 85
  10. 57
  11. 8
  12. 28
  13. 57
  14. 66
  15. 6
  16. 50
  17. 25
  18. 18
  19. 64
  20. 8
  21. 12
  22. 12
  23. 10
  24. 55
  25. 86
  26. 116
  27. 2
  28. 55
  29. 91
  30. 40
  31. 62
  32. 20
  33. 5
  34. 80
  35. 15
  36. 3
  37. 15
  38. 8
  39. 12
  40. 36

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