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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 398 · 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 5 : 8?
  2. 2.Rice at ₹21 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  3. 3.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?
  4. 4.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  5. 5.A grocer mixes 8 kg of tea at ₹33 per kg with 8 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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 6 : 11?
  7. 7.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  8. 8.Rice at ₹75 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹58 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  11. 11.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?
  12. 12.Rice at ₹65 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  13. 13.A 8-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?
  14. 14.Rice at ₹34 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  16. 16.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  17. 17.Rice at ₹27 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  18. 18.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?
  19. 19.Rice at ₹61 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  20. 20.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?
  21. 21.Rice at ₹53 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.Rice at ₹52 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 20 kg of the dearer rice?
  23. 23.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?
  24. 24.Rice at ₹26 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  25. 25.Rice at ₹35 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  26. 26.Rice at ₹60 per kg is mixed with rice at ₹148 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  27. 27.A grocer mixes 8 kg of tea at ₹84 per kg with 8 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 8 kg of tea at ₹95 per kg with 6 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 6 kg of tea at ₹30 per kg with 12 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹39 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.A grocer mixes 4 kg of tea at ₹58 per kg with 7 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.A grocer mixes 9 kg of tea at ₹31 per kg with 6 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 11 kg of tea at ₹109 per kg with 7 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹60 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 9 kg of the dearer rice?
  36. 36.Rice at ₹41 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  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 jug has 40 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?
  39. 39.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  40. 40.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?

Answer key

  1. 12
  2. 28
  3. 60
  4. 9
  5. 49
  6. 24
  7. 4
  8. 25
  9. 25
  10. 21
  11. 20
  12. 6
  13. 2
  14. 1
  15. 24
  16. 16
  17. 35
  18. 50
  19. 6
  20. 28
  21. 20
  22. 8
  23. 55
  24. 20
  25. 12
  26. 42
  27. 72
  28. 65
  29. 34
  30. 6
  31. 37
  32. 50
  33. 53
  34. 88
  35. 3
  36. 20
  37. 60
  38. 40
  39. 40
  40. 12

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