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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 893 · 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 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  2. 2.Rice at ₹66 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  3. 3.Rice at ₹78 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  4. 4.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?
  5. 5.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?
  6. 6.Rice at ₹29 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.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?
  8. 8.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?
  9. 9.A 81-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  10. 10.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?
  11. 11.A 28-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?
  12. 12.A 35-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?
  13. 13.Rice at ₹52 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  14. 14.Rice at ₹53 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  15. 15.Rice at ₹80 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  16. 16.A 80-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?
  17. 17.A jug has 10 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?
  18. 18.Rice at ₹22 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.Rice at ₹69 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  20. 20.Rice at ₹22 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  21. 21.A grocer mixes 11 kg of tea at ₹97 per kg with 11 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹60 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  23. 23.A grocer mixes 6 kg of tea at ₹55 per kg with 10 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  25. 25.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?
  26. 26.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A grocer mixes 3 kg of tea at ₹56 per kg with 9 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 9 kg of tea at ₹45 per kg with 3 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹42 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  31. 31.Rice at ₹75 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.A grocer mixes 6 kg of tea at ₹112 per kg with 6 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  34. 34.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  35. 35.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?
  36. 36.A grocer mixes 10 kg of tea at ₹31 per kg with 7 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  38. 38.Rice at ₹30 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 30 kg of the dearer rice?
  39. 39.Rice at ₹47 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.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 : 9?

Answer key

  1. 40
  2. 4
  3. 2
  4. 55
  5. 50
  6. 4
  7. 40
  8. 40
  9. 9
  10. 36
  11. 28
  12. 20
  13. 4
  14. 28
  15. 10
  16. 10
  17. 70
  18. 10
  19. 36
  20. 21
  21. 60
  22. 3
  23. 90
  24. 32
  25. 64
  26. 25
  27. 50
  28. 95
  29. 49
  30. 12
  31. 12
  32. 116
  33. 36
  34. 18
  35. 70
  36. 45
  37. 18
  38. 5
  39. 24
  40. 32

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