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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 131 · 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 grocer mixes 7 kg of tea at ₹68 per kg with 3 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 2 kg of tea at ₹32 per kg with 8 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 9 kg of tea at ₹34 per kg with 9 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹30 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  5. 5.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 5 : 6?
  6. 6.Rice at ₹23 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  7. 7.A 20-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  8. 8.A grocer mixes 7 kg of tea at ₹29 per kg with 7 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  11. 11.Rice at ₹75 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  12. 12.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?
  13. 13.Rice at ₹32 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.A 60-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?
  15. 15.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 : 7?
  16. 16.Rice at ₹59 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  17. 17.Rice at ₹41 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  18. 18.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.A grocer mixes 9 kg of tea at ₹20 per kg with 9 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹21 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.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?
  22. 22.A grocer mixes 10 kg of tea at ₹112 per kg with 2 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 5 kg of tea at ₹29 per kg with 3 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹38 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  26. 26.A grocer mixes 2 kg of tea at ₹114 per kg with 2 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹74 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹122 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  28. 28.A 42-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  29. 29.Rice at ₹54 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  30. 30.A 40-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  31. 31.A grocer mixes 8 kg of tea at ₹118 per kg with 12 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹62 per kg is mixed with rice at ₹139 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  33. 33.A 91-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?
  34. 34.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A grocer mixes 6 kg of tea at ₹68 per kg with 2 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 5 kg of tea at ₹69 per kg with 10 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 40 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?
  38. 38.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?
  39. 39.Rice at ₹59 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  40. 40.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?

Answer key

  1. 59
  2. 72
  3. 31
  4. 20
  5. 27
  6. 4
  7. 6
  8. 70
  9. 40
  10. 4
  11. 20
  12. 50
  13. 25
  14. 5
  15. 21
  16. 3
  17. 28
  18. 5
  19. 68
  20. 8
  21. 60
  22. 110
  23. 41
  24. 36
  25. 18
  26. 96
  27. 8
  28. 14
  29. 6
  30. 8
  31. 88
  32. 12
  33. 28
  34. 76
  35. 67
  36. 37
  37. 52
  38. 70
  39. 5
  40. 9

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