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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 250 · 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 ₹21 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  2. 2.Rice at ₹43 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  3. 3.A jug has 20 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?
  4. 4.A grocer mixes 4 kg of tea at ₹21 per kg with 12 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹77 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  6. 6.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  7. 7.Rice at ₹77 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  8. 8.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?
  9. 9.A grocer mixes 5 kg of tea at ₹58 per kg with 10 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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 : 8?
  11. 11.A 60-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?
  12. 12.A grocer mixes 7 kg of tea at ₹100 per kg with 7 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 4 kg of tea at ₹24 per kg with 8 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 20 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?
  15. 15.A grocer mixes 6 kg of tea at ₹92 per kg with 12 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 3 kg of tea at ₹92 per kg with 3 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹57 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.A grocer mixes 12 kg of tea at ₹84 per kg with 6 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 27-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?
  20. 20.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  21. 21.Rice at ₹52 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  22. 22.A grocer mixes 11 kg of tea at ₹110 per kg with 4 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 32-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?
  24. 24.A grocer mixes 11 kg of tea at ₹108 per kg with 11 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹79 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.Rice at ₹75 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  27. 27.Rice at ₹28 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  28. 28.Rice at ₹77 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A grocer mixes 8 kg of tea at ₹45 per kg with 4 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 20 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?
  31. 31.A 42-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?
  32. 32.A grocer mixes 4 kg of tea at ₹35 per kg with 2 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  35. 35.A grocer mixes 9 kg of tea at ₹112 per kg with 9 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹26 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  37. 37.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?
  38. 38.A grocer mixes 8 kg of tea at ₹100 per kg with 3 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 3 kg of tea at ₹108 per kg with 8 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 2 kg of tea at ₹37 per kg with 8 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 1
  2. 25
  3. 70
  4. 60
  5. 8
  6. 4
  7. 24
  8. 60
  9. 76
  10. 9
  11. 20
  12. 89
  13. 86
  14. 52
  15. 44
  16. 80
  17. 3
  18. 69
  19. 12
  20. 4
  21. 14
  22. 106
  23. 8
  24. 87
  25. 4
  26. 6
  27. 24
  28. 40
  29. 67
  30. 55
  31. 6
  32. 54
  33. 60
  34. 30
  35. 93
  36. 6
  37. 50
  38. 79
  39. 76
  40. 69

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