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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 234 · 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.Rice at ₹53 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  2. 2.Rice at ₹44 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  3. 3.A grocer mixes 8 kg of tea at ₹48 per kg with 8 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  5. 5.A 40-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  6. 6.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  7. 7.A grocer mixes 2 kg of tea at ₹35 per kg with 10 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 6 kg of tea at ₹111 per kg with 5 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 5 kg of tea at ₹41 per kg with 5 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A jug has 40 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?
  12. 12.Rice at ₹32 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  13. 13.A grocer mixes 11 kg of tea at ₹38 per kg with 11 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹45 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  15. 15.A grocer mixes 7 kg of tea at ₹44 per kg with 4 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹47 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  17. 17.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  18. 18.Rice at ₹35 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  19. 19.A grocer mixes 9 kg of tea at ₹20 per kg with 9 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 5 kg of tea at ₹43 per kg with 9 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A grocer mixes 10 kg of tea at ₹114 per kg with 6 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  25. 25.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 3 : 4?
  26. 26.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?
  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.Rice at ₹33 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.A 35-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?
  30. 30.Rice at ₹54 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  31. 31.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?
  32. 32.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  33. 33.A grocer mixes 5 kg of tea at ₹108 per kg with 3 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A grocer mixes 4 kg of tea at ₹60 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹20 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.A grocer mixes 7 kg of tea at ₹24 per kg with 12 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 72-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?
  39. 39.Rice at ₹41 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.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 40 kg of the dearer rice?

Answer key

  1. 8
  2. 20
  3. 44
  4. 9
  5. 15
  6. 6
  7. 65
  8. 91
  9. 31
  10. 40
  11. 36
  12. 21
  13. 59
  14. 4
  15. 56
  16. 35
  17. 6
  18. 4
  19. 34
  20. 88
  21. 60
  22. 90
  23. 40
  24. 6
  25. 3
  26. 52
  27. 50
  28. 30
  29. 7
  30. 16
  31. 64
  32. 6
  33. 84
  34. 55
  35. 40
  36. 10
  37. 48
  38. 18
  39. 12
  40. 8

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