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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 516 · 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 ₹44 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  2. 2.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?
  3. 3.A 56-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  4. 4.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?
  5. 5.Rice at ₹37 per kg is mixed with rice at ₹93 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?
  6. 6.A jug has 40 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?
  7. 7.A jug has 20 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?
  8. 8.Rice at ₹79 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  9. 9.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  10. 10.Rice at ₹55 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  11. 11.A grocer mixes 3 kg of tea at ₹87 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 12 kg of tea at ₹96 per kg with 6 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹80 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  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.Rice at ₹59 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 15 kg of the dearer rice?
  16. 16.A grocer mixes 9 kg of tea at ₹77 per kg with 9 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 3 kg of tea at ₹78 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 8 kg of tea at ₹21 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 35-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?
  20. 20.A grocer mixes 4 kg of tea at ₹81 per kg with 8 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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 2 : 1?
  22. 22.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 1 : 3?
  23. 23.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?
  24. 24.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  25. 25.Rice at ₹47 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  26. 26.A grocer mixes 10 kg of tea at ₹99 per kg with 6 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹32 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  28. 28.A grocer mixes 4 kg of tea at ₹86 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹54 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  30. 30.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?
  31. 31.A grocer mixes 12 kg of tea at ₹32 per kg with 8 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 44-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?
  33. 33.A grocer mixes 8 kg of tea at ₹35 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A grocer mixes 2 kg of tea at ₹41 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 6 kg of tea at ₹27 per kg with 8 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹38 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  38. 38.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?
  39. 39.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?
  40. 40.A 117-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?

Answer key

  1. 3
  2. 50
  3. 8
  4. 36
  5. 4
  6. 28
  7. 28
  8. 4
  9. 18
  10. 32
  11. 63
  12. 98
  13. 15
  14. 25
  15. 3
  16. 52
  17. 54
  18. 24
  19. 28
  20. 63
  21. 6
  22. 10
  23. 60
  24. 14
  25. 4
  26. 81
  27. 5
  28. 57
  29. 8
  30. 25
  31. 48
  32. 12
  33. 62
  34. 40
  35. 70
  36. 63
  37. 24
  38. 50
  39. 75
  40. 36

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