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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 339 · 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 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹56 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  3. 3.Rice at ₹80 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.Rice at ₹51 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  5. 5.Rice at ₹20 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  6. 6.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?
  7. 7.A grocer mixes 2 kg of tea at ₹106 per kg with 3 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹62 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  9. 9.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  10. 10.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.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?
  12. 12.Rice at ₹30 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  13. 13.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.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?
  15. 15.A 52-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?
  16. 16.A grocer mixes 12 kg of tea at ₹65 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹55 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  18. 18.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?
  19. 19.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 5 : 4?
  20. 20.Rice at ₹23 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.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?
  22. 22.A grocer mixes 12 kg of tea at ₹61 per kg with 8 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹68 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  24. 24.A grocer mixes 2 kg of tea at ₹46 per kg with 2 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A jug has 10 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?
  27. 27.Rice at ₹62 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 12 kg of the dearer rice?
  28. 28.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?
  29. 29.A grocer mixes 5 kg of tea at ₹101 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 40 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?
  31. 31.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹34 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  33. 33.A grocer mixes 3 kg of tea at ₹41 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 2 kg of tea at ₹48 per kg with 2 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 3 kg of tea at ₹75 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹80 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  37. 37.A jug has 10 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?
  38. 38.Rice at ₹45 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.Rice at ₹23 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  40. 40.A grocer mixes 2 kg of tea at ₹74 per kg with 3 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 25
  2. 2
  3. 3
  4. 40
  5. 25
  6. 50
  7. 97
  8. 28
  9. 18
  10. 50
  11. 50
  12. 16
  13. 7
  14. 55
  15. 12
  16. 63
  17. 4
  18. 28
  19. 4
  20. 20
  21. 5
  22. 65
  23. 14
  24. 74
  25. 7
  26. 68
  27. 4
  28. 50
  29. 107
  30. 60
  31. 75
  32. 40
  33. 33
  34. 70
  35. 50
  36. 18
  37. 70
  38. 4
  39. 42
  40. 68

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