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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 495 · 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 ₹62 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  2. 2.Rice at ₹73 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹113 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  3. 3.A grocer mixes 12 kg of tea at ₹41 per kg with 10 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  5. 5.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?
  6. 6.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?
  7. 7.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  8. 8.A grocer mixes 5 kg of tea at ₹85 per kg with 7 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  10. 10.A grocer mixes 10 kg of tea at ₹34 per kg with 3 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 2 kg of tea at ₹97 per kg with 2 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹43 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  14. 14.Rice at ₹33 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 21 kg of the dearer rice?
  15. 15.Rice at ₹54 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  16. 16.Rice at ₹32 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  17. 17.Rice at ₹27 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  18. 18.A grocer mixes 6 kg of tea at ₹21 per kg with 7 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 7 kg of tea at ₹73 per kg with 7 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 11 kg of tea at ₹79 per kg with 4 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.Rice at ₹55 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  23. 23.A 48-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?
  24. 24.A grocer mixes 2 kg of tea at ₹93 per kg with 4 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  26. 26.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?
  27. 27.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?
  28. 28.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?
  29. 29.A 54-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  30. 30.A 10-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 jug has 20 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?
  32. 32.Rice at ₹58 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  33. 33.Rice at ₹31 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  34. 34.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?
  35. 35.Rice at ₹52 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  36. 36.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A grocer mixes 2 kg of tea at ₹70 per kg with 5 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹68 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  39. 39.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  40. 40.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?

Answer key

  1. 28
  2. 8
  3. 56
  4. 18
  5. 60
  6. 70
  7. 40
  8. 92
  9. 20
  10. 43
  11. 104
  12. 24
  13. 5
  14. 7
  15. 30
  16. 4
  17. 40
  18. 35
  19. 57
  20. 67
  21. 50
  22. 14
  23. 18
  24. 59
  25. 32
  26. 55
  27. 76
  28. 25
  29. 24
  30. 2
  31. 40
  32. 35
  33. 7
  34. 40
  35. 8
  36. 60
  37. 80
  38. 8
  39. 12
  40. 10

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