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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 58 · 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 10 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?
  2. 2.A 77-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  3. 3.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  4. 4.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.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 : 7?
  6. 6.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  7. 7.A 24-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  8. 8.A grocer mixes 3 kg of tea at ₹45 per kg with 3 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  10. 10.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  12. 12.Rice at ₹32 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.A grocer mixes 4 kg of tea at ₹37 per kg with 11 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 28-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?
  15. 15.Rice at ₹59 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  16. 16.Rice at ₹22 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.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 1 : 3?
  18. 18.A grocer mixes 8 kg of tea at ₹34 per kg with 2 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹72 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  20. 20.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹45 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.Rice at ₹20 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.A grocer mixes 4 kg of tea at ₹24 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  25. 25.Rice at ₹62 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.A grocer mixes 2 kg of tea at ₹57 per kg with 5 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹74 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  28. 28.A grocer mixes 2 kg of tea at ₹100 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹45 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.Rice at ₹29 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  31. 31.A 88-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?
  32. 32.Rice at ₹50 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.A grocer mixes 4 kg of tea at ₹21 per kg with 5 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹52 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  35. 35.Rice at ₹49 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 5 kg of the dearer rice?
  36. 36.A grocer mixes 4 kg of tea at ₹77 per kg with 2 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 90-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  38. 38.Rice at ₹27 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.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?
  40. 40.A grocer mixes 8 kg of tea at ₹26 per kg with 12 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 75
  2. 7
  3. 2
  4. 50
  5. 21
  6. 5
  7. 12
  8. 64
  9. 6
  10. 10
  11. 20
  12. 2
  13. 92
  14. 12
  15. 3
  16. 6
  17. 12
  18. 35
  19. 30
  20. 25
  21. 16
  22. 4
  23. 67
  24. 27
  25. 3
  26. 37
  27. 6
  28. 94
  29. 9
  30. 4
  31. 16
  32. 4
  33. 61
  34. 8
  35. 10
  36. 59
  37. 36
  38. 24
  39. 50
  40. 35

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