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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 626 · 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 20-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  2. 2.Rice at ₹53 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  3. 3.A grocer mixes 7 kg of tea at ₹65 per kg with 7 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A jug has 40 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?
  6. 6.Rice at ₹57 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  7. 7.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  8. 8.Rice at ₹79 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.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 : 10?
  10. 10.A grocer mixes 5 kg of tea at ₹91 per kg with 10 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 7 kg of tea at ₹85 per kg with 7 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 44-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  13. 13.A jug has 20 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?
  14. 14.Rice at ₹61 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.A 56-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?
  16. 16.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  17. 17.Rice at ₹28 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  18. 18.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  19. 19.Rice at ₹45 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  20. 20.Rice at ₹40 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  21. 21.A grocer mixes 7 kg of tea at ₹41 per kg with 7 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 90-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?
  23. 23.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?
  24. 24.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A grocer mixes 6 kg of tea at ₹48 per kg with 5 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  27. 27.A jug has 10 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?
  28. 28.A grocer mixes 4 kg of tea at ₹96 per kg with 6 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A 65-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?
  31. 31.A 64-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?
  32. 32.A grocer mixes 3 kg of tea at ₹100 per kg with 8 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  34. 34.A jug has 40 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?
  35. 35.Rice at ₹61 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  36. 36.A grocer mixes 6 kg of tea at ₹37 per kg with 4 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹60 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.A grocer mixes 4 kg of tea at ₹49 per kg with 3 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 12 kg of tea at ₹25 per kg with 6 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 12
  2. 21
  3. 92
  4. 60
  5. 28
  6. 5
  7. 3
  8. 5
  9. 15
  10. 103
  11. 56
  12. 8
  13. 40
  14. 24
  15. 32
  16. 8
  17. 8
  18. 14
  19. 28
  20. 30
  21. 79
  22. 30
  23. 50
  24. 76
  25. 38
  26. 5
  27. 60
  28. 102
  29. 68
  30. 20
  31. 8
  32. 92
  33. 8
  34. 25
  35. 24
  36. 53
  37. 64
  38. 16
  39. 40
  40. 47

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