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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 361 · 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 ₹26 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.Rice at ₹51 per kg is mixed with rice at ₹65 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?
  3. 3.Rice at ₹64 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  4. 4.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A 30-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?
  6. 6.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?
  7. 7.A 108-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?
  8. 8.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?
  9. 9.A 30-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?
  10. 10.A grocer mixes 4 kg of tea at ₹60 per kg with 8 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  12. 12.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.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?
  14. 14.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?
  15. 15.Rice at ₹36 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  16. 16.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 : 6?
  17. 17.Rice at ₹25 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  18. 18.A grocer mixes 5 kg of tea at ₹94 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 81-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  20. 20.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  21. 21.Rice at ₹43 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.Rice at ₹43 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A grocer mixes 12 kg of tea at ₹67 per kg with 12 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹46 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.Rice at ₹52 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.A grocer mixes 12 kg of tea at ₹84 per kg with 2 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹68 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 2 kg of the dearer rice?
  29. 29.A grocer mixes 2 kg of tea at ₹112 per kg with 2 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A grocer mixes 4 kg of tea at ₹39 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.A grocer mixes 4 kg of tea at ₹30 per kg with 4 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  35. 35.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  36. 36.A grocer mixes 6 kg of tea at ₹115 per kg with 6 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 12 kg of tea at ₹85 per kg with 4 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 10-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?
  39. 39.A grocer mixes 9 kg of tea at ₹64 per kg with 9 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹74 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 6
  2. 12
  3. 16
  4. 50
  5. 18
  6. 25
  7. 9
  8. 52
  9. 6
  10. 90
  11. 42
  12. 15
  13. 40
  14. 60
  15. 12
  16. 9
  17. 28
  18. 86
  19. 9
  20. 14
  21. 25
  22. 2
  23. 64
  24. 70
  25. 6
  26. 4
  27. 81
  28. 4
  29. 85
  30. 55
  31. 43
  32. 25
  33. 50
  34. 6
  35. 30
  36. 85
  37. 78
  38. 8
  39. 49
  40. 1

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