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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 144 · 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 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  2. 2.A grocer mixes 5 kg of tea at ₹26 per kg with 7 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 10 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?
  4. 4.Rice at ₹67 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.Rice at ₹70 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  6. 6.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  7. 7.A grocer mixes 9 kg of tea at ₹95 per kg with 5 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 25 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?
  9. 9.Rice at ₹29 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  10. 10.A grocer mixes 6 kg of tea at ₹45 per kg with 6 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.Rice at ₹38 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.A jug has 40 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?
  14. 14.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  15. 15.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.Rice at ₹38 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  17. 17.Rice at ₹67 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  18. 18.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  19. 19.A grocer mixes 5 kg of tea at ₹86 per kg with 10 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹39 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  21. 21.A grocer mixes 3 kg of tea at ₹116 per kg with 9 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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 : 8?
  23. 23.Rice at ₹20 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  24. 24.Rice at ₹33 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 18 kg of the dearer rice?
  25. 25.Rice at ₹24 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  26. 26.A grocer mixes 3 kg of tea at ₹106 per kg with 5 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 20 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?
  28. 28.A 44-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?
  29. 29.A grocer mixes 2 kg of tea at ₹55 per kg with 4 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A grocer mixes 10 kg of tea at ₹114 per kg with 9 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹59 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  33. 33.Rice at ₹60 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.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 1 : 2?
  35. 35.A 30-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?
  36. 36.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?
  37. 37.Rice at ₹50 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.Rice at ₹67 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  39. 39.Rice at ₹49 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  40. 40.A grocer mixes 11 kg of tea at ₹41 per kg with 11 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 14
  2. 40
  3. 80
  4. 40
  5. 8
  6. 6
  7. 75
  8. 50
  9. 6
  10. 34
  11. 50
  12. 2
  13. 20
  14. 10
  15. 30
  16. 12
  17. 25
  18. 20
  19. 56
  20. 5
  21. 104
  22. 8
  23. 12
  24. 15
  25. 35
  26. 81
  27. 28
  28. 16
  29. 43
  30. 60
  31. 96
  32. 12
  33. 2
  34. 12
  35. 10
  36. 60
  37. 12
  38. 5
  39. 40
  40. 36

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