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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 108 · 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 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  2. 2.Rice at ₹37 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.A 15-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?
  4. 4.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.Rice at ₹26 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.A grocer mixes 6 kg of tea at ₹30 per kg with 2 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 8 kg of tea at ₹103 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  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 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?
  10. 10.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 : 9?
  11. 11.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?
  12. 12.A grocer mixes 12 kg of tea at ₹79 per kg with 4 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  14. 14.A 63-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?
  15. 15.A grocer mixes 3 kg of tea at ₹75 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 7 kg of tea at ₹51 per kg with 2 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 9 kg of tea at ₹44 per kg with 12 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 7 kg of tea at ₹39 per kg with 7 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A grocer mixes 3 kg of tea at ₹21 per kg with 12 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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 1 : 1?
  22. 22.A grocer mixes 12 kg of tea at ₹40 per kg with 12 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 12 kg of tea at ₹78 per kg with 2 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 2 kg of tea at ₹28 per kg with 2 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹62 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  26. 26.A grocer mixes 3 kg of tea at ₹52 per kg with 6 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 3 kg of tea at ₹42 per kg with 3 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.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 2 : 3?
  30. 30.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?
  31. 31.A 72-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?
  32. 32.Rice at ₹43 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  33. 33.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?
  34. 34.A grocer mixes 8 kg of tea at ₹50 per kg with 8 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 4 kg of tea at ₹46 per kg with 4 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 3 kg of tea at ₹91 per kg with 6 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 8 kg of tea at ₹68 per kg with 8 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.A grocer mixes 8 kg of tea at ₹46 per kg with 12 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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 : 5?

Answer key

  1. 40
  2. 16
  3. 9
  4. 50
  5. 6
  6. 39
  7. 106
  8. 60
  9. 60
  10. 16
  11. 68
  12. 66
  13. 6
  14. 9
  15. 77
  16. 61
  17. 36
  18. 45
  19. 16
  20. 77
  21. 28
  22. 64
  23. 84
  24. 46
  25. 4
  26. 96
  27. 64
  28. 50
  29. 6
  30. 4
  31. 24
  32. 35
  33. 40
  34. 74
  35. 43
  36. 109
  37. 84
  38. 40
  39. 52
  40. 15

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