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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 283 · 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 grocer mixes 8 kg of tea at ₹20 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 10 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?
  3. 3.A 24-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?
  4. 4.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?
  5. 5.Rice at ₹61 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.A 24-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  7. 7.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?
  8. 8.A 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  9. 9.Rice at ₹78 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  10. 10.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?
  11. 11.A jug has 20 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?
  12. 12.A 63-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?
  13. 13.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  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 : 3?
  16. 16.A grocer mixes 3 kg of tea at ₹113 per kg with 4 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.A grocer mixes 10 kg of tea at ₹21 per kg with 5 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A grocer mixes 4 kg of tea at ₹45 per kg with 12 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹38 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.Rice at ₹78 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  23. 23.A 16-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?
  24. 24.Rice at ₹39 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  25. 25.A 63-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?
  26. 26.A 24-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?
  27. 27.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?
  28. 28.Rice at ₹24 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  29. 29.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?
  30. 30.A jug has 40 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?
  31. 31.Rice at ₹70 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.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 10 kg of the dearer rice?
  33. 33.A 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  34. 34.A grocer mixes 2 kg of tea at ₹78 per kg with 12 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 66-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  37. 37.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.Rice at ₹51 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  39. 39.A grocer mixes 12 kg of tea at ₹71 per kg with 12 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 40-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?

Answer key

  1. 35
  2. 80
  3. 24
  4. 60
  5. 3
  6. 3
  7. 50
  8. 40
  9. 2
  10. 60
  11. 50
  12. 21
  13. 60
  14. 75
  15. 6
  16. 65
  17. 40
  18. 49
  19. 28
  20. 87
  21. 5
  22. 8
  23. 8
  24. 12
  25. 28
  26. 6
  27. 60
  28. 30
  29. 3
  30. 28
  31. 5
  32. 25
  33. 30
  34. 54
  35. 18
  36. 8
  37. 64
  38. 6
  39. 52
  40. 32

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