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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 702 · 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 70-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?
  2. 2.A grocer mixes 7 kg of tea at ₹65 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.Rice at ₹35 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 25 kg of the dearer rice?
  5. 5.Rice at ₹35 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  6. 6.Rice at ₹47 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  7. 7.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹23 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A grocer mixes 2 kg of tea at ₹64 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 6-litre mix has milk and water in the ratio 1 : 2. 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 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  12. 12.Rice at ₹34 per kg is mixed with rice at ₹52 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?
  13. 13.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 3 : 8?
  14. 14.Rice at ₹25 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  15. 15.Rice at ₹25 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  16. 16.A grocer mixes 9 kg of tea at ₹78 per kg with 9 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 7 kg of tea at ₹100 per kg with 6 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹54 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A grocer mixes 4 kg of tea at ₹66 per kg with 3 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹70 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.A grocer mixes 10 kg of tea at ₹89 per kg with 9 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 5 kg of tea at ₹75 per kg with 5 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 6 kg of tea at ₹24 per kg with 6 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹80 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  25. 25.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 5 kg of tea at ₹57 per kg with 4 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹25 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.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?
  29. 29.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  30. 30.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  31. 31.Rice at ₹51 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.A 39-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?
  33. 33.Rice at ₹32 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  34. 34.Rice at ₹24 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.A grocer mixes 2 kg of tea at ₹40 per kg with 2 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹78 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  37. 37.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?
  38. 38.A 15-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?
  39. 39.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  40. 40.Rice at ₹35 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 30
  2. 71
  3. 36
  4. 20
  5. 14
  6. 42
  7. 60
  8. 30
  9. 36
  10. 2
  11. 6
  12. 1
  13. 12
  14. 12
  15. 2
  16. 74
  17. 88
  18. 5
  19. 75
  20. 4
  21. 98
  22. 88
  23. 65
  24. 3
  25. 50
  26. 45
  27. 4
  28. 40
  29. 20
  30. 3
  31. 4
  32. 12
  33. 35
  34. 30
  35. 30
  36. 4
  37. 25
  38. 10
  39. 4
  40. 6

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