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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 181 · 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.Rice at ₹21 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  3. 3.A 104-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?
  4. 4.A jug has 20 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.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?
  6. 6.Rice at ₹26 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  7. 7.Rice at ₹76 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  8. 8.Rice at ₹26 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  9. 9.Rice at ₹23 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  10. 10.Rice at ₹52 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  11. 11.Rice at ₹37 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 21 kg of the dearer rice?
  12. 12.A grocer mixes 2 kg of tea at ₹85 per kg with 2 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 7 kg of tea at ₹102 per kg with 3 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 6 kg of tea at ₹50 per kg with 5 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹61 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.Rice at ₹72 per kg is mixed with rice at ₹79 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?
  17. 17.A grocer mixes 11 kg of tea at ₹101 per kg with 11 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 50-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  19. 19.A grocer mixes 5 kg of tea at ₹49 per kg with 5 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.Rice at ₹76 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.A grocer mixes 11 kg of tea at ₹37 per kg with 12 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.Rice at ₹39 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.Rice at ₹34 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 6 kg of the dearer rice?
  26. 26.Rice at ₹76 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  28. 28.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.Rice at ₹77 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.Rice at ₹20 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  31. 31.Rice at ₹64 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.A 20-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  33. 33.A grocer mixes 6 kg of tea at ₹32 per kg with 6 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹42 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  35. 35.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  36. 36.A grocer mixes 12 kg of tea at ₹117 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 10 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?
  38. 38.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 3 : 4?
  39. 39.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?
  40. 40.A grocer mixes 8 kg of tea at ₹82 per kg with 6 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 24
  2. 18
  3. 32
  4. 40
  5. 50
  6. 6
  7. 12
  8. 6
  9. 7
  10. 18
  11. 28
  12. 95
  13. 81
  14. 80
  15. 8
  16. 6
  17. 61
  18. 20
  19. 39
  20. 60
  21. 6
  22. 61
  23. 75
  24. 10
  25. 24
  26. 1
  27. 15
  28. 12
  29. 3
  30. 12
  31. 8
  32. 8
  33. 72
  34. 30
  35. 12
  36. 115
  37. 60
  38. 9
  39. 50
  40. 58

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