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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 89 · 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 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  2. 2.A grocer mixes 3 kg of tea at ₹52 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 40 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?
  4. 4.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?
  5. 5.A 16-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?
  6. 6.Rice at ₹32 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.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?
  8. 8.A grocer mixes 4 kg of tea at ₹89 per kg with 6 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 11 kg of tea at ₹90 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.Rice at ₹73 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  12. 12.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  13. 13.Rice at ₹27 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.A grocer mixes 6 kg of tea at ₹81 per kg with 8 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 8 kg of tea at ₹118 per kg with 8 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 4 kg of tea at ₹69 per kg with 3 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹23 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  19. 19.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  20. 20.Rice at ₹75 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.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?
  22. 22.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 : 8?
  23. 23.A grocer mixes 2 kg of tea at ₹112 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 8 kg of tea at ₹23 per kg with 8 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 9 kg of tea at ₹112 per kg with 9 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  28. 28.Rice at ₹69 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  29. 29.A grocer mixes 3 kg of tea at ₹73 per kg with 5 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A grocer mixes 3 kg of tea at ₹66 per kg with 9 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 63-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?
  33. 33.A 14-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?
  34. 34.Rice at ₹47 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.Rice at ₹36 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  36. 36.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?
  37. 37.A jug has 50 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?
  38. 38.A grocer mixes 6 kg of tea at ₹36 per kg with 12 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 4 kg of tea at ₹107 per kg with 8 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?

Answer key

  1. 12
  2. 44
  3. 60
  4. 64
  5. 6
  6. 9
  7. 40
  8. 83
  9. 84
  10. 60
  11. 20
  12. 9
  13. 30
  14. 101
  15. 82
  16. 57
  17. 25
  18. 16
  19. 28
  20. 4
  21. 40
  22. 4
  23. 54
  24. 62
  25. 72
  26. 6
  27. 27
  28. 12
  29. 68
  30. 50
  31. 54
  32. 18
  33. 4
  34. 1
  35. 4
  36. 50
  37. 50
  38. 64
  39. 81
  40. 7

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