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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 114 · 40 questions
TalentJR

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 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  2. 2.Rice at ₹43 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  3. 3.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?
  4. 4.A 104-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  5. 5.Rice at ₹41 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  6. 6.Rice at ₹35 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  7. 7.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹43 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  9. 9.Rice at ₹73 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  10. 10.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 1 : 3?
  11. 11.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  12. 12.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?
  13. 13.Rice at ₹51 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  14. 14.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?
  15. 15.A grocer mixes 2 kg of tea at ₹22 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹50 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  17. 17.Rice at ₹47 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.Rice at ₹41 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  20. 20.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  21. 21.Rice at ₹27 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  22. 22.A grocer mixes 2 kg of tea at ₹36 per kg with 12 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 3 kg of tea at ₹32 per kg with 3 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹30 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.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?
  26. 26.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 : 5?
  27. 27.Rice at ₹44 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.A grocer mixes 7 kg of tea at ₹102 per kg with 5 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  31. 31.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 : 3?
  32. 32.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  33. 33.A grocer mixes 5 kg of tea at ₹54 per kg with 12 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  35. 35.A 18-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?
  36. 36.A 72-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  37. 37.A grocer mixes 11 kg of tea at ₹99 per kg with 11 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹75 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  39. 39.Rice at ₹37 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.Rice at ₹78 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 6
  2. 7
  3. 16
  4. 8
  5. 35
  6. 5
  7. 80
  8. 10
  9. 28
  10. 36
  11. 6
  12. 50
  13. 4
  14. 50
  15. 30
  16. 6
  17. 15
  18. 4
  19. 4
  20. 15
  21. 8
  22. 30
  23. 50
  24. 8
  25. 28
  26. 16
  27. 8
  28. 97
  29. 60
  30. 14
  31. 3
  32. 24
  33. 66
  34. 6
  35. 2
  36. 16
  37. 70
  38. 10
  39. 32
  40. 6

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