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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 521 · 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.

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  1. 1.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?
  2. 2.Rice at ₹36 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  3. 3.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  4. 4.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  5. 5.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  6. 6.A grocer mixes 12 kg of tea at ₹73 per kg with 8 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A grocer mixes 7 kg of tea at ₹75 per kg with 7 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 10 kg of tea at ₹115 per kg with 10 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 7 kg of tea at ₹25 per kg with 5 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  12. 12.A grocer mixes 9 kg of tea at ₹76 per kg with 9 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹72 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  14. 14.A jug has 50 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?
  15. 15.A grocer mixes 2 kg of tea at ₹43 per kg with 8 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹70 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  17. 17.A 70-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?
  18. 18.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?
  19. 19.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  20. 20.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  21. 21.Rice at ₹57 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  23. 23.Rice at ₹71 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.Rice at ₹27 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  25. 25.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  26. 26.A grocer mixes 6 kg of tea at ₹60 per kg with 12 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 2 kg of tea at ₹24 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A 33-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?
  30. 30.Rice at ₹39 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  31. 31.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.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?
  33. 33.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?
  34. 34.Rice at ₹37 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  35. 35.Rice at ₹55 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  36. 36.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  37. 37.Rice at ₹64 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.Rice at ₹75 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  39. 39.A grocer mixes 7 kg of tea at ₹40 per kg with 2 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 4 kg of tea at ₹93 per kg with 4 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 70
  2. 4
  3. 24
  4. 10
  5. 3
  6. 77
  7. 50
  8. 58
  9. 105
  10. 45
  11. 28
  12. 88
  13. 20
  14. 25
  15. 27
  16. 9
  17. 30
  18. 40
  19. 20
  20. 4
  21. 2
  22. 8
  23. 4
  24. 14
  25. 3
  26. 50
  27. 60
  28. 18
  29. 9
  30. 30
  31. 70
  32. 50
  33. 60
  34. 6
  35. 4
  36. 10
  37. 18
  38. 35
  39. 56
  40. 97

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