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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 208 · 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 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?
  2. 2.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?
  3. 3.Rice at ₹44 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  4. 4.A 45-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?
  5. 5.A grocer mixes 3 kg of tea at ₹114 per kg with 6 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹20 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  7. 7.A 24-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  8. 8.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  9. 9.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.Rice at ₹47 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  11. 11.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 : 8?
  12. 12.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?
  13. 13.A jug has 20 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?
  14. 14.A jug has 40 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?
  15. 15.A grocer mixes 9 kg of tea at ₹86 per kg with 12 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹34 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  17. 17.Rice at ₹54 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 12 kg of the dearer rice?
  18. 18.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  19. 19.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?
  20. 20.Rice at ₹76 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 12 kg of the dearer rice?
  21. 21.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.Rice at ₹55 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.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?
  24. 24.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?
  25. 25.A grocer mixes 11 kg of tea at ₹50 per kg with 11 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 50 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?
  27. 27.A grocer mixes 8 kg of tea at ₹114 per kg with 4 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 7 kg of tea at ₹43 per kg with 7 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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 : 3?
  30. 30.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  31. 31.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  32. 32.A grocer mixes 5 kg of tea at ₹62 per kg with 5 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 5 kg of tea at ₹56 per kg with 10 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 6 kg of tea at ₹118 per kg with 7 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  37. 37.Rice at ₹69 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.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 : 4?
  39. 39.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?
  40. 40.A grocer mixes 2 kg of tea at ₹28 per kg with 8 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 60
  2. 40
  3. 5
  4. 9
  5. 98
  6. 16
  7. 12
  8. 21
  9. 60
  10. 40
  11. 5
  12. 20
  13. 55
  14. 40
  15. 66
  16. 21
  17. 4
  18. 20
  19. 28
  20. 30
  21. 75
  22. 3
  23. 52
  24. 50
  25. 57
  26. 50
  27. 116
  28. 39
  29. 16
  30. 8
  31. 4
  32. 63
  33. 90
  34. 90
  35. 60
  36. 12
  37. 8
  38. 10
  39. 32
  40. 64

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