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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 389 · 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 jug has 20 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?
  2. 2.A grocer mixes 5 kg of tea at ₹44 per kg with 5 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹70 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  4. 4.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 : 2?
  5. 5.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  6. 6.A grocer mixes 3 kg of tea at ₹45 per kg with 3 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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 1 : 2?
  8. 8.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?
  9. 9.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?
  10. 10.A 27-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?
  11. 11.A 27-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?
  12. 12.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?
  13. 13.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?
  14. 14.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  15. 15.A grocer mixes 3 kg of tea at ₹84 per kg with 3 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹41 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  17. 17.Rice at ₹37 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  19. 19.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 4 kg of the dearer rice?
  20. 20.Rice at ₹25 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  21. 21.A grocer mixes 12 kg of tea at ₹23 per kg with 4 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 44-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?
  23. 23.Rice at ₹26 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  24. 24.Rice at ₹59 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 9 kg of tea at ₹70 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 24-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?
  28. 28.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?
  29. 29.Rice at ₹38 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  30. 30.Rice at ₹31 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.A grocer mixes 2 kg of tea at ₹46 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹30 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  33. 33.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?
  34. 34.A jug has 40 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?
  35. 35.Rice at ₹33 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.A 12-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?
  37. 37.Rice at ₹20 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  38. 38.A grocer mixes 7 kg of tea at ₹66 per kg with 5 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 40 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?
  40. 40.Rice at ₹55 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?

Answer key

  1. 70
  2. 81
  3. 20
  4. 3
  5. 16
  6. 62
  7. 10
  8. 10
  9. 36
  10. 3
  11. 9
  12. 50
  13. 60
  14. 12
  15. 54
  16. 24
  17. 15
  18. 6
  19. 10
  20. 3
  21. 26
  22. 12
  23. 3
  24. 9
  25. 75
  26. 60
  27. 9
  28. 25
  29. 8
  30. 6
  31. 34
  32. 6
  33. 60
  34. 52
  35. 12
  36. 6
  37. 15
  38. 71
  39. 60
  40. 5

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