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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 50 · 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.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  2. 2.A 15-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?
  3. 3.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?
  4. 4.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  5. 5.A 63-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  6. 6.A grocer mixes 9 kg of tea at ₹42 per kg with 9 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 8 kg of tea at ₹94 per kg with 4 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 11 kg of tea at ₹101 per kg with 3 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹48 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  10. 10.Rice at ₹58 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  11. 11.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  12. 12.A grocer mixes 4 kg of tea at ₹70 per kg with 2 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 4 kg of tea at ₹81 per kg with 8 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 4 kg of tea at ₹96 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹61 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  16. 16.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.Rice at ₹78 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  18. 18.A grocer mixes 8 kg of tea at ₹31 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.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?
  21. 21.A grocer mixes 3 kg of tea at ₹45 per kg with 3 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹60 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  23. 23.A 66-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  24. 24.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  25. 25.A grocer mixes 11 kg of tea at ₹71 per kg with 2 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 40 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?
  27. 27.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  28. 28.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  29. 29.A grocer mixes 5 kg of tea at ₹65 per kg with 10 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹70 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.A grocer mixes 11 kg of tea at ₹91 per kg with 11 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 3 kg of tea at ₹51 per kg with 3 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 40 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?
  34. 34.A grocer mixes 2 kg of tea at ₹20 per kg with 12 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.A grocer mixes 5 kg of tea at ₹33 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹71 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 4 kg of tea at ₹54 per kg with 9 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹42 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?

Answer key

  1. 36
  2. 10
  3. 50
  4. 8
  5. 36
  6. 60
  7. 82
  8. 86
  9. 20
  10. 40
  11. 10
  12. 58
  13. 41
  14. 79
  15. 8
  16. 21
  17. 3
  18. 36
  19. 75
  20. 50
  21. 44
  22. 3
  23. 24
  24. 6
  25. 77
  26. 52
  27. 12
  28. 4
  29. 55
  30. 20
  31. 80
  32. 54
  33. 60
  34. 68
  35. 3
  36. 31
  37. 30
  38. 68
  39. 45
  40. 10

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