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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 56 · 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 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.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 1 : 1?
  3. 3.A grocer mixes 5 kg of tea at ₹94 per kg with 8 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 9 kg of tea at ₹57 per kg with 3 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹53 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  6. 6.Rice at ₹69 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 24 kg of the dearer rice?
  7. 7.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?
  8. 8.A grocer mixes 9 kg of tea at ₹62 per kg with 9 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹21 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  10. 10.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?
  11. 11.A grocer mixes 2 kg of tea at ₹86 per kg with 6 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹27 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.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?
  14. 14.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?
  15. 15.A grocer mixes 10 kg of tea at ₹106 per kg with 10 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹41 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  17. 17.Rice at ₹33 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  18. 18.A 104-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  19. 19.A grocer mixes 5 kg of tea at ₹34 per kg with 9 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 10 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?
  21. 21.Rice at ₹23 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  22. 22.Rice at ₹30 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 12 kg of the dearer rice?
  23. 23.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  24. 24.A jug has 10 litres of a drink that is 40% mango juice. 2 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 : 6?
  26. 26.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  27. 27.A 130-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?
  28. 28.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 : 9?
  29. 29.Rice at ₹72 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  30. 30.Rice at ₹27 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  31. 31.A grocer mixes 6 kg of tea at ₹46 per kg with 6 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 3 kg of tea at ₹106 per kg with 12 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 56-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?
  34. 34.A grocer mixes 5 kg of tea at ₹85 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  36. 36.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  37. 37.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  38. 38.A grocer mixes 6 kg of tea at ₹42 per kg with 10 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  40. 40.Rice at ₹37 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?

Answer key

  1. 50
  2. 21
  3. 54
  4. 53
  5. 7
  6. 6
  7. 50
  8. 78
  9. 15
  10. 50
  11. 101
  12. 16
  13. 50
  14. 25
  15. 113
  16. 7
  17. 8
  18. 32
  19. 61
  20. 60
  21. 4
  22. 10
  23. 12
  24. 50
  25. 12
  26. 4
  27. 10
  28. 27
  29. 6
  30. 24
  31. 53
  32. 46
  33. 7
  34. 69
  35. 18
  36. 10
  37. 6
  38. 77
  39. 30
  40. 30

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