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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 463 · 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 grocer mixes 11 kg of tea at ₹98 per kg with 3 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  3. 3.Rice at ₹60 per kg is mixed with rice at ₹137 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  4. 4.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?
  5. 5.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 : 7?
  6. 6.Rice at ₹80 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  7. 7.A grocer mixes 4 kg of tea at ₹39 per kg with 4 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹59 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  9. 9.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?
  10. 10.A grocer mixes 2 kg of tea at ₹33 per kg with 6 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.Rice at ₹68 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  13. 13.A 100-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?
  14. 14.A grocer mixes 3 kg of tea at ₹59 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 3 kg of tea at ₹24 per kg with 6 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A 24-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?
  18. 18.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  19. 19.A jug has 20 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?
  20. 20.Rice at ₹39 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.Rice at ₹59 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  22. 22.A 64-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?
  23. 23.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  24. 24.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A grocer mixes 5 kg of tea at ₹64 per kg with 5 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A jug has 20 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?
  28. 28.Rice at ₹39 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  29. 29.Rice at ₹70 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  31. 31.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?
  32. 32.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?
  33. 33.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?
  34. 34.A 10-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?
  35. 35.Rice at ₹61 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.Rice at ₹42 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  37. 37.Rice at ₹37 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  38. 38.Rice at ₹80 per kg is mixed with rice at ₹135 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?
  39. 39.A 35-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?
  40. 40.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?

Answer key

  1. 83
  2. 10
  3. 30
  4. 40
  5. 30
  6. 2
  7. 38
  8. 32
  9. 18
  10. 54
  11. 50
  12. 3
  13. 10
  14. 88
  15. 44
  16. 25
  17. 12
  18. 7
  19. 60
  20. 10
  21. 1
  22. 8
  23. 40
  24. 50
  25. 92
  26. 50
  27. 52
  28. 7
  29. 20
  30. 12
  31. 28
  32. 25
  33. 40
  34. 8
  35. 12
  36. 30
  37. 8
  38. 42
  39. 15
  40. 20

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