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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 432 · 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 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  2. 2.A grocer mixes 10 kg of tea at ₹118 per kg with 5 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 7 kg of tea at ₹29 per kg with 2 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.Rice at ₹36 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  6. 6.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?
  7. 7.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  8. 8.A 20-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?
  9. 9.Rice at ₹20 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  10. 10.A grocer mixes 8 kg of tea at ₹68 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹65 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  13. 13.Rice at ₹64 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  14. 14.Rice at ₹65 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  15. 15.A grocer mixes 12 kg of tea at ₹103 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹24 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  17. 17.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹50 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  19. 19.Rice at ₹31 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.A grocer mixes 3 kg of tea at ₹119 per kg with 6 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 80-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  22. 22.A 48-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?
  23. 23.A grocer mixes 5 kg of tea at ₹58 per kg with 8 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.Rice at ₹50 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  26. 26.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.Rice at ₹71 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  28. 28.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  29. 29.A grocer mixes 4 kg of tea at ₹57 per kg with 4 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹42 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.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?
  32. 32.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?
  33. 33.A grocer mixes 12 kg of tea at ₹55 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.Rice at ₹61 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.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?
  38. 38.Rice at ₹64 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  39. 39.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 : 11?
  40. 40.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?

Answer key

  1. 12
  2. 95
  3. 33
  4. 36
  5. 7
  6. 50
  7. 18
  8. 12
  9. 10
  10. 60
  11. 32
  12. 18
  13. 20
  14. 6
  15. 111
  16. 25
  17. 64
  18. 25
  19. 25
  20. 79
  21. 30
  22. 16
  23. 50
  24. 50
  25. 8
  26. 75
  27. 20
  28. 14
  29. 68
  30. 6
  31. 40
  32. 60
  33. 87
  34. 28
  35. 20
  36. 50
  37. 60
  38. 18
  39. 20
  40. 8

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