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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 30 · 40 questions
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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.Rice at ₹25 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  2. 2.Rice at ₹73 per kg is mixed with rice at ₹136 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  3. 3.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?
  4. 4.Rice at ₹52 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.Rice at ₹60 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.A grocer mixes 2 kg of tea at ₹51 per kg with 2 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 7 kg of tea at ₹101 per kg with 9 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 6 kg of tea at ₹99 per kg with 6 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.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?
  11. 11.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?
  12. 12.A grocer mixes 9 kg of tea at ₹37 per kg with 3 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹22 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  14. 14.Rice at ₹77 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  15. 15.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 : 11?
  16. 16.A jug has 40 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.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?
  18. 18.Rice at ₹46 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  19. 19.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A grocer mixes 12 kg of tea at ₹35 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A grocer mixes 5 kg of tea at ₹94 per kg with 5 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹74 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  24. 24.A 42-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  25. 25.Rice at ₹80 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.Rice at ₹42 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  27. 27.Rice at ₹65 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  29. 29.A jug has 50 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?
  30. 30.Rice at ₹36 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  31. 31.A grocer mixes 8 kg of tea at ₹111 per kg with 6 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A grocer mixes 9 kg of tea at ₹88 per kg with 9 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹24 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  35. 35.Rice at ₹47 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.Rice at ₹46 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.Rice at ₹57 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  38. 38.Rice at ₹52 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  39. 39.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?
  40. 40.A grocer mixes 2 kg of tea at ₹34 per kg with 4 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 16
  2. 28
  3. 60
  4. 8
  5. 1
  6. 58
  7. 83
  8. 85
  9. 64
  10. 40
  11. 50
  12. 55
  13. 1
  14. 2
  15. 36
  16. 40
  17. 60
  18. 30
  19. 25
  20. 34
  21. 55
  22. 102
  23. 9
  24. 21
  25. 12
  26. 3
  27. 4
  28. 9
  29. 25
  30. 30
  31. 78
  32. 70
  33. 85
  34. 40
  35. 16
  36. 20
  37. 4
  38. 12
  39. 60
  40. 80

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