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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 66 · 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 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?
  2. 2.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.A grocer mixes 6 kg of tea at ₹25 per kg with 8 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 3 kg of tea at ₹93 per kg with 3 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 8 kg of tea at ₹67 per kg with 8 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.Rice at ₹78 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  8. 8.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?
  9. 9.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?
  10. 10.A grocer mixes 6 kg of tea at ₹70 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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 : 10?
  12. 12.A grocer mixes 3 kg of tea at ₹79 per kg with 10 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 10 kg of tea at ₹114 per kg with 2 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 72-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?
  15. 15.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?
  16. 16.A grocer mixes 6 kg of tea at ₹28 per kg with 8 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.Rice at ₹36 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  19. 19.Rice at ₹24 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  20. 20.A grocer mixes 12 kg of tea at ₹23 per kg with 4 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹49 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  22. 22.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  23. 23.A grocer mixes 2 kg of tea at ₹108 per kg with 4 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  25. 25.Rice at ₹35 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.Rice at ₹43 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  28. 28.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  29. 29.Rice at ₹72 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  30. 30.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  31. 31.A grocer mixes 6 kg of tea at ₹67 per kg with 6 kg of tea at ₹61 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 1 : 1?
  33. 33.A grocer mixes 11 kg of tea at ₹104 per kg with 10 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹69 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.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 : 4?
  36. 36.Rice at ₹78 per kg is mixed with rice at ₹102 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?
  37. 37.Rice at ₹27 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  38. 38.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?
  39. 39.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?
  40. 40.Rice at ₹63 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?

Answer key

  1. 25
  2. 1
  3. 37
  4. 73
  5. 71
  6. 40
  7. 12
  8. 50
  9. 50
  10. 40
  11. 27
  12. 99
  13. 113
  14. 9
  15. 75
  16. 24
  17. 68
  18. 12
  19. 30
  20. 38
  21. 30
  22. 6
  23. 94
  24. 9
  25. 12
  26. 50
  27. 16
  28. 20
  29. 9
  30. 3
  31. 64
  32. 9
  33. 84
  34. 48
  35. 8
  36. 4
  37. 42
  38. 50
  39. 50
  40. 15

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