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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 18 · 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 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  2. 2.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  3. 3.Rice at ₹66 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  4. 4.Rice at ₹60 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.A grocer mixes 4 kg of tea at ₹72 per kg with 12 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.A grocer mixes 3 kg of tea at ₹102 per kg with 9 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 10-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?
  9. 9.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?
  10. 10.Rice at ₹35 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.Rice at ₹63 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  12. 12.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  13. 13.A jug has 10 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?
  14. 14.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?
  15. 15.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  17. 17.Rice at ₹79 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  18. 18.A grocer mixes 4 kg of tea at ₹63 per kg with 7 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 4 kg of tea at ₹34 per kg with 4 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹54 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.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 : 11?
  22. 22.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 : 10?
  23. 23.Rice at ₹33 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  25. 25.A 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  26. 26.A 54-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  27. 27.Rice at ₹66 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 14 kg of the dearer rice?
  28. 28.Rice at ₹62 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  29. 29.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?
  30. 30.A grocer mixes 12 kg of tea at ₹107 per kg with 9 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 30-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  32. 32.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.Rice at ₹33 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  34. 34.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?
  35. 35.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A 65-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?
  37. 37.A grocer mixes 4 kg of tea at ₹108 per kg with 10 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 18-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?
  39. 39.A jug has 20 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?
  40. 40.Rice at ₹64 per kg is mixed with rice at ₹141 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?

Answer key

  1. 3
  2. 3
  3. 40
  4. 6
  5. 66
  6. 50
  7. 72
  8. 6
  9. 50
  10. 6
  11. 15
  12. 40
  13. 40
  14. 25
  15. 80
  16. 15
  17. 25
  18. 77
  19. 54
  20. 2
  21. 20
  22. 16
  23. 6
  24. 6
  25. 6
  26. 24
  27. 21
  28. 32
  29. 50
  30. 74
  31. 5
  32. 25
  33. 8
  34. 36
  35. 50
  36. 5
  37. 53
  38. 18
  39. 28
  40. 35

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