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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 327 · 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 ₹25 per kg is mixed with rice at ₹46 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?
  2. 2.A 60-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  3. 3.A 45-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?
  4. 4.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?
  5. 5.Rice at ₹39 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  6. 6.A grocer mixes 10 kg of tea at ₹94 per kg with 12 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A grocer mixes 7 kg of tea at ₹108 per kg with 8 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹25 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.A grocer mixes 11 kg of tea at ₹24 per kg with 11 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.Rice at ₹47 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  14. 14.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?
  15. 15.A jug has 10 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?
  16. 16.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?
  17. 17.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  18. 18.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  19. 19.A grocer mixes 7 kg of tea at ₹96 per kg with 4 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 8 kg of tea at ₹88 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹47 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  22. 22.A jug has 20 litres of a drink that is 25% mango juice. 10 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 ₹64 per kg with 5 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹25 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  25. 25.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?
  26. 26.A 35-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?
  27. 27.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?
  28. 28.A grocer mixes 10 kg of tea at ₹32 per kg with 6 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹62 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.Rice at ₹69 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  31. 31.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A grocer mixes 11 kg of tea at ₹58 per kg with 11 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A grocer mixes 8 kg of tea at ₹25 per kg with 3 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹32 per kg is mixed with rice at ₹53 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?
  37. 37.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?
  38. 38.Rice at ₹59 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  39. 39.A grocer mixes 5 kg of tea at ₹105 per kg with 11 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?

Answer key

  1. 2
  2. 20
  3. 27
  4. 70
  5. 12
  6. 106
  7. 52
  8. 92
  9. 20
  10. 40
  11. 55
  12. 12
  13. 28
  14. 25
  15. 50
  16. 36
  17. 24
  18. 20
  19. 100
  20. 75
  21. 5
  22. 50
  23. 72
  24. 12
  25. 40
  26. 21
  27. 55
  28. 53
  29. 2
  30. 28
  31. 40
  32. 50
  33. 40
  34. 70
  35. 31
  36. 32
  37. 60
  38. 4
  39. 50
  40. 35

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