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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 866 · 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 ₹33 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.Rice at ₹46 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  3. 3.A grocer mixes 8 kg of tea at ₹99 per kg with 5 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.Rice at ₹80 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  6. 6.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?
  7. 7.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  8. 8.Rice at ₹57 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  9. 9.A 55-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?
  10. 10.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?
  11. 11.A grocer mixes 2 kg of tea at ₹76 per kg with 10 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹44 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  13. 13.A grocer mixes 4 kg of tea at ₹64 per kg with 2 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.Rice at ₹27 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  16. 16.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  17. 17.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  18. 18.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  19. 19.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  20. 20.A 81-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  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 grocer mixes 4 kg of tea at ₹92 per kg with 3 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 8 kg of tea at ₹77 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹52 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.A 56-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?
  26. 26.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  27. 27.A grocer mixes 12 kg of tea at ₹24 per kg with 6 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹58 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  29. 29.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?
  30. 30.A grocer mixes 6 kg of tea at ₹54 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹48 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  32. 32.A 20-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?
  33. 33.Rice at ₹30 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  34. 34.A grocer mixes 6 kg of tea at ₹50 per kg with 6 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 3 kg of tea at ₹81 per kg with 3 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 8 kg of tea at ₹117 per kg with 2 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 10 kg of tea at ₹42 per kg with 10 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹62 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.A grocer mixes 10 kg of tea at ₹114 per kg with 10 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 6 kg of tea at ₹56 per kg with 6 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 12
  2. 8
  3. 74
  4. 50
  5. 4
  6. 25
  7. 9
  8. 25
  9. 15
  10. 80
  11. 46
  12. 14
  13. 67
  14. 40
  15. 3
  16. 4
  17. 4
  18. 10
  19. 18
  20. 9
  21. 20
  22. 65
  23. 66
  24. 4
  25. 16
  26. 21
  27. 45
  28. 20
  29. 70
  30. 45
  31. 6
  32. 20
  33. 12
  34. 53
  35. 88
  36. 98
  37. 71
  38. 10
  39. 84
  40. 60

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