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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 978 · 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 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?
  2. 2.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  3. 3.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?
  4. 4.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  5. 5.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?
  6. 6.Rice at ₹22 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  7. 7.Rice at ₹69 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 1 kg of the dearer rice?
  8. 8.A grocer mixes 8 kg of tea at ₹72 per kg with 12 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 7 kg of tea at ₹37 per kg with 7 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 4 kg of tea at ₹23 per kg with 4 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹34 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  12. 12.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  13. 13.A grocer mixes 4 kg of tea at ₹61 per kg with 4 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A grocer mixes 11 kg of tea at ₹106 per kg with 11 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹42 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  17. 17.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  18. 18.Rice at ₹65 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  19. 19.A jug has 10 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.Rice at ₹31 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  21. 21.A grocer mixes 8 kg of tea at ₹78 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 2 kg of tea at ₹82 per kg with 8 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A jug has 10 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?
  24. 24.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  25. 25.A grocer mixes 3 kg of tea at ₹77 per kg with 3 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 63-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  27. 27.Rice at ₹48 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.A grocer mixes 8 kg of tea at ₹97 per kg with 8 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 4 kg of tea at ₹51 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹46 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  31. 31.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.A 48-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?
  33. 33.Rice at ₹20 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  34. 34.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  35. 35.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?
  36. 36.Rice at ₹64 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  37. 37.Rice at ₹79 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹115 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  38. 38.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  39. 39.A 56-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?
  40. 40.Rice at ₹36 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?

Answer key

  1. 25
  2. 32
  3. 80
  4. 6
  5. 25
  6. 35
  7. 2
  8. 57
  9. 38
  10. 41
  11. 1
  12. 40
  13. 67
  14. 25
  15. 85
  16. 35
  17. 2
  18. 7
  19. 40
  20. 36
  21. 67
  22. 86
  23. 55
  24. 12
  25. 85
  26. 36
  27. 2
  28. 96
  29. 102
  30. 32
  31. 8
  32. 4
  33. 20
  34. 30
  35. 60
  36. 30
  37. 5
  38. 9
  39. 28
  40. 15

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