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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 279 · 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 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  2. 2.A grocer mixes 5 kg of tea at ₹66 per kg with 3 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  4. 4.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  5. 5.A grocer mixes 7 kg of tea at ₹45 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹60 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  7. 7.Rice at ₹78 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  9. 9.A grocer mixes 5 kg of tea at ₹113 per kg with 4 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A jug has 25 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?
  12. 12.A grocer mixes 3 kg of tea at ₹58 per kg with 9 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  14. 14.Rice at ₹59 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.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?
  16. 16.A 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  17. 17.A grocer mixes 4 kg of tea at ₹115 per kg with 8 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 3 kg of tea at ₹94 per kg with 11 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 6 kg of tea at ₹98 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  21. 21.A grocer mixes 9 kg of tea at ₹40 per kg with 3 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 12 kg of tea at ₹104 per kg with 2 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹76 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  24. 24.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.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?
  26. 26.A grocer mixes 8 kg of tea at ₹81 per kg with 6 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  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.Rice at ₹34 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  29. 29.A grocer mixes 3 kg of tea at ₹78 per kg with 11 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹22 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 5 kg of the dearer rice?
  31. 31.Rice at ₹30 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  32. 32.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  33. 33.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  34. 34.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  35. 35.Rice at ₹61 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  36. 36.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?
  37. 37.Rice at ₹54 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  38. 38.A jug has 40 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.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?
  40. 40.Rice at ₹27 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?

Answer key

  1. 18
  2. 63
  3. 16
  4. 2
  5. 63
  6. 35
  7. 6
  8. 14
  9. 105
  10. 75
  11. 50
  12. 82
  13. 20
  14. 12
  15. 50
  16. 20
  17. 53
  18. 72
  19. 64
  20. 16
  21. 42
  22. 106
  23. 4
  24. 76
  25. 60
  26. 90
  27. 68
  28. 16
  29. 45
  30. 3
  31. 20
  32. 4
  33. 28
  34. 24
  35. 24
  36. 36
  37. 35
  38. 60
  39. 55
  40. 3

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