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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 437 · 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 grocer mixes 5 kg of tea at ₹44 per kg with 10 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 45-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  3. 3.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  4. 4.A grocer mixes 9 kg of tea at ₹84 per kg with 5 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 4 kg of tea at ₹26 per kg with 2 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 20 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?
  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.Rice at ₹50 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  9. 9.A grocer mixes 7 kg of tea at ₹52 per kg with 7 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 40 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?
  11. 11.Rice at ₹63 per kg is mixed with rice at ₹135 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  13. 13.A 55-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  14. 14.Rice at ₹32 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  15. 15.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  16. 16.Rice at ₹80 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  17. 17.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  18. 18.Rice at ₹57 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.Rice at ₹53 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  21. 21.A grocer mixes 11 kg of tea at ₹82 per kg with 4 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 3 kg of tea at ₹103 per kg with 7 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 12 kg of tea at ₹98 per kg with 6 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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 6 : 11?
  25. 25.A grocer mixes 2 kg of tea at ₹112 per kg with 8 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹41 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  27. 27.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?
  28. 28.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?
  29. 29.Rice at ₹80 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  30. 30.Rice at ₹38 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  31. 31.A grocer mixes 4 kg of tea at ₹47 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 36-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  33. 33.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  34. 34.A grocer mixes 9 kg of tea at ₹20 per kg with 2 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹37 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  36. 36.Rice at ₹64 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  37. 37.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A grocer mixes 7 kg of tea at ₹110 per kg with 11 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹49 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.A 90-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?

Answer key

  1. 36
  2. 15
  3. 4
  4. 64
  5. 43
  6. 60
  7. 68
  8. 2
  9. 59
  10. 20
  11. 30
  12. 5
  13. 15
  14. 5
  15. 8
  16. 24
  17. 40
  18. 6
  19. 1
  20. 8
  21. 78
  22. 75
  23. 75
  24. 12
  25. 44
  26. 15
  27. 20
  28. 30
  29. 6
  30. 8
  31. 77
  32. 12
  33. 7
  34. 24
  35. 28
  36. 24
  37. 50
  38. 99
  39. 18
  40. 36

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