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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 271 · 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 80-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?
  2. 2.A 40-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  3. 3.Rice at ₹64 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.A grocer mixes 12 kg of tea at ₹103 per kg with 12 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 63-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  6. 6.A jug has 40 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?
  7. 7.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?
  8. 8.A grocer mixes 10 kg of tea at ₹20 per kg with 10 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.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?
  11. 11.A grocer mixes 2 kg of tea at ₹63 per kg with 6 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹55 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  13. 13.Rice at ₹23 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  14. 14.Rice at ₹43 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  15. 15.A grocer mixes 8 kg of tea at ₹117 per kg with 3 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹29 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  17. 17.A grocer mixes 12 kg of tea at ₹61 per kg with 3 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹67 per kg is mixed with rice at ₹139 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  19. 19.A 99-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?
  20. 20.A 21-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?
  21. 21.A 28-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?
  22. 22.Rice at ₹62 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  23. 23.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  24. 24.A grocer mixes 2 kg of tea at ₹91 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 3 kg of tea at ₹29 per kg with 4 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 21-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?
  27. 27.Rice at ₹22 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  28. 28.Rice at ₹71 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.Rice at ₹51 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.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?
  31. 31.A 40-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?
  32. 32.A grocer mixes 10 kg of tea at ₹66 per kg with 12 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 44-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?
  34. 34.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  35. 35.A grocer mixes 5 kg of tea at ₹27 per kg with 5 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  38. 38.A 49-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  39. 39.A grocer mixes 11 kg of tea at ₹107 per kg with 11 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?

Answer key

  1. 16
  2. 15
  3. 3
  4. 80
  5. 27
  6. 36
  7. 28
  8. 64
  9. 70
  10. 52
  11. 90
  12. 4
  13. 12
  14. 28
  15. 93
  16. 14
  17. 55
  18. 25
  19. 27
  20. 12
  21. 16
  22. 12
  23. 12
  24. 61
  25. 69
  26. 3
  27. 6
  28. 10
  29. 20
  30. 40
  31. 4
  32. 72
  33. 4
  34. 12
  35. 62
  36. 60
  37. 6
  38. 7
  39. 94
  40. 8

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