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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 700 · 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 ₹62 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  2. 2.A jug has 10 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  4. 4.A grocer mixes 5 kg of tea at ₹70 per kg with 5 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  6. 6.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.Rice at ₹42 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.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?
  9. 9.Rice at ₹32 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.A jug has 25 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A grocer mixes 5 kg of tea at ₹93 per kg with 5 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.Rice at ₹20 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  14. 14.A grocer mixes 8 kg of tea at ₹100 per kg with 8 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  16. 16.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?
  17. 17.Rice at ₹66 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.A grocer mixes 10 kg of tea at ₹89 per kg with 10 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  20. 20.A jug has 10 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?
  21. 21.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.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?
  23. 23.A 50-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?
  24. 24.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?
  25. 25.Rice at ₹72 per kg is mixed with rice at ₹144 per kg to make a mix worth ₹112 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  26. 26.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  27. 27.Rice at ₹57 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.A grocer mixes 8 kg of tea at ₹107 per kg with 3 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹67 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  30. 30.Rice at ₹57 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  32. 32.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  33. 33.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  34. 34.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.A grocer mixes 4 kg of tea at ₹34 per kg with 12 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹22 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  37. 37.Rice at ₹34 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.A 24-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?
  39. 39.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?
  40. 40.Rice at ₹48 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?

Answer key

  1. 14
  2. 60
  3. 8
  4. 68
  5. 12
  6. 36
  7. 18
  8. 12
  9. 10
  10. 50
  11. 66
  12. 25
  13. 5
  14. 110
  15. 12
  16. 36
  17. 2
  18. 104
  19. 40
  20. 50
  21. 50
  22. 40
  23. 20
  24. 12
  25. 16
  26. 4
  27. 8
  28. 92
  29. 4
  30. 5
  31. 20
  32. 6
  33. 32
  34. 3
  35. 43
  36. 14
  37. 10
  38. 12
  39. 80
  40. 6

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