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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 324 · 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 72-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?
  2. 2.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.Rice at ₹75 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.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?
  6. 6.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?
  7. 7.A grocer mixes 4 kg of tea at ₹93 per kg with 7 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.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?
  10. 10.A 30-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  12. 12.Rice at ₹47 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.Rice at ₹64 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  14. 14.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?
  15. 15.A grocer mixes 5 kg of tea at ₹31 per kg with 10 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 60-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  17. 17.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A grocer mixes 7 kg of tea at ₹29 per kg with 11 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹68 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A grocer mixes 4 kg of tea at ₹24 per kg with 4 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.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?
  23. 23.A grocer mixes 10 kg of tea at ₹21 per kg with 10 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 77-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?
  25. 25.Rice at ₹73 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  26. 26.A grocer mixes 4 kg of tea at ₹103 per kg with 6 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A 70-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?
  29. 29.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  30. 30.A grocer mixes 6 kg of tea at ₹20 per kg with 2 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹80 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  32. 32.Rice at ₹64 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  33. 33.Rice at ₹78 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  34. 34.Rice at ₹64 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  35. 35.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?
  36. 36.A grocer mixes 2 kg of tea at ₹84 per kg with 2 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 10 kg of tea at ₹26 per kg with 6 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 4 kg of tea at ₹25 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  40. 40.A 32-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?

Answer key

  1. 36
  2. 60
  3. 1
  4. 80
  5. 75
  6. 60
  7. 100
  8. 36
  9. 52
  10. 18
  11. 12
  12. 48
  13. 12
  14. 32
  15. 35
  16. 6
  17. 50
  18. 62
  19. 18
  20. 39
  21. 70
  22. 50
  23. 65
  24. 21
  25. 25
  26. 55
  27. 25
  28. 40
  29. 36
  30. 31
  31. 12
  32. 15
  33. 8
  34. 16
  35. 64
  36. 70
  37. 44
  38. 39
  39. 32
  40. 16

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