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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 727 · 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 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  2. 2.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A grocer mixes 2 kg of tea at ₹90 per kg with 3 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹29 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  6. 6.Rice at ₹67 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  7. 7.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?
  8. 8.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?
  9. 9.A grocer mixes 12 kg of tea at ₹53 per kg with 4 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A 14-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?
  12. 12.A grocer mixes 5 kg of tea at ₹83 per kg with 10 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹27 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹39 per kg is mixed with rice at ₹49 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?
  16. 16.Rice at ₹24 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.A grocer mixes 12 kg of tea at ₹25 per kg with 2 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹62 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.Rice at ₹35 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.Rice at ₹49 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  22. 22.A grocer mixes 7 kg of tea at ₹76 per kg with 7 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A grocer mixes 3 kg of tea at ₹112 per kg with 6 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 10 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?
  26. 26.Rice at ₹69 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  27. 27.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  28. 28.Rice at ₹20 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  29. 29.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?
  30. 30.A grocer mixes 12 kg of tea at ₹105 per kg with 9 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 2 kg of tea at ₹72 per kg with 4 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  33. 33.Rice at ₹22 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  34. 34.A grocer mixes 10 kg of tea at ₹37 per kg with 10 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 2 kg of tea at ₹28 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 2 kg of tea at ₹23 per kg with 3 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 12 kg of tea at ₹78 per kg with 12 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A jug has 10 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?
  40. 40.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?

Answer key

  1. 24
  2. 75
  3. 66
  4. 5
  5. 14
  6. 5
  7. 14
  8. 52
  9. 65
  10. 25
  11. 6
  12. 75
  13. 5
  14. 80
  15. 6
  16. 10
  17. 29
  18. 12
  19. 50
  20. 1
  21. 10
  22. 48
  23. 10
  24. 54
  25. 70
  26. 7
  27. 16
  28. 18
  29. 36
  30. 93
  31. 86
  32. 10
  33. 32
  34. 55
  35. 26
  36. 59
  37. 95
  38. 12
  39. 70
  40. 18

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