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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 869 · 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 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?
  2. 2.Rice at ₹71 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  3. 3.A grocer mixes 3 kg of tea at ₹97 per kg with 8 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.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?
  6. 6.A grocer mixes 4 kg of tea at ₹105 per kg with 6 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 3 kg of tea at ₹89 per kg with 9 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹35 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  9. 9.A grocer mixes 12 kg of tea at ₹80 per kg with 12 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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 : 3?
  11. 11.A grocer mixes 11 kg of tea at ₹38 per kg with 6 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹78 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  13. 13.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  14. 14.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?
  15. 15.A 30-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  16. 16.Rice at ₹35 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  17. 17.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  18. 18.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?
  19. 19.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  20. 20.A grocer mixes 3 kg of tea at ₹20 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 63-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?
  22. 22.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 8 kg of tea at ₹22 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹74 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  26. 26.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?
  27. 27.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  28. 28.A grocer mixes 12 kg of tea at ₹69 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 3 kg of tea at ₹81 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  31. 31.A jug has 40 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?
  32. 32.Rice at ₹21 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  33. 33.A grocer mixes 7 kg of tea at ₹43 per kg with 5 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹62 per kg is mixed with rice at ₹68 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?
  35. 35.Rice at ₹21 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  36. 36.Rice at ₹73 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.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?
  38. 38.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?
  39. 39.Rice at ₹47 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  40. 40.Rice at ₹55 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 60
  2. 2
  3. 65
  4. 50
  5. 20
  6. 114
  7. 44
  8. 15
  9. 70
  10. 8
  11. 50
  12. 18
  13. 24
  14. 75
  15. 10
  16. 2
  17. 28
  18. 10
  19. 28
  20. 32
  21. 28
  22. 36
  23. 29
  24. 40
  25. 30
  26. 3
  27. 6
  28. 56
  29. 83
  30. 3
  31. 25
  32. 6
  33. 68
  34. 10
  35. 12
  36. 20
  37. 25
  38. 52
  39. 8
  40. 18

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