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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 925 · 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 66-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?
  2. 2.A grocer mixes 12 kg of tea at ₹104 per kg with 12 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  4. 4.Rice at ₹58 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  5. 5.Rice at ₹68 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  6. 6.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?
  7. 7.Rice at ₹70 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.Rice at ₹56 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  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 jug has 10 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?
  11. 11.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  12. 12.A 8-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?
  13. 13.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  14. 14.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?
  15. 15.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  16. 16.Rice at ₹76 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.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?
  18. 18.A grocer mixes 6 kg of tea at ₹42 per kg with 6 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A grocer mixes 8 kg of tea at ₹98 per kg with 12 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  22. 22.Rice at ₹50 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.A grocer mixes 7 kg of tea at ₹76 per kg with 7 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹40 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  25. 25.A jug has 40 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?
  26. 26.Rice at ₹57 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  27. 27.A jug has 50 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?
  28. 28.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?
  29. 29.A 28-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?
  30. 30.A grocer mixes 8 kg of tea at ₹79 per kg with 10 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹22 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  32. 32.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A grocer mixes 3 kg of tea at ₹94 per kg with 3 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  35. 35.Rice at ₹23 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  36. 36.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  37. 37.Rice at ₹75 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 2 kg of tea at ₹77 per kg with 9 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 80-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?

Answer key

  1. 24
  2. 75
  3. 18
  4. 16
  5. 21
  6. 40
  7. 40
  8. 18
  9. 36
  10. 55
  11. 10
  12. 8
  13. 5
  14. 20
  15. 7
  16. 12
  17. 70
  18. 33
  19. 60
  20. 74
  21. 12
  22. 3
  23. 82
  24. 8
  25. 28
  26. 10
  27. 25
  28. 25
  29. 21
  30. 69
  31. 14
  32. 50
  33. 89
  34. 28
  35. 10
  36. 3
  37. 14
  38. 70
  39. 95
  40. 40

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