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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 322 · 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 2 kg of tea at ₹104 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹74 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  3. 3.A jug has 25 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?
  4. 4.Rice at ₹35 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.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?
  6. 6.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  7. 7.Rice at ₹23 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.A 40-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?
  10. 10.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  11. 11.Rice at ₹29 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  12. 12.A 10-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?
  13. 13.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?
  14. 14.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 : 4?
  15. 15.A jug has 50 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?
  16. 16.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?
  17. 17.A grocer mixes 8 kg of tea at ₹105 per kg with 7 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  19. 19.A grocer mixes 10 kg of tea at ₹69 per kg with 12 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 10 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?
  21. 21.Rice at ₹74 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  22. 22.Rice at ₹50 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.Rice at ₹74 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  24. 24.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.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?
  26. 26.A grocer mixes 9 kg of tea at ₹24 per kg with 3 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 50-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?
  28. 28.A grocer mixes 6 kg of tea at ₹105 per kg with 9 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 7 kg of tea at ₹75 per kg with 4 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹49 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.Rice at ₹27 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  32. 32.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?
  33. 33.A grocer mixes 4 kg of tea at ₹119 per kg with 3 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹42 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  35. 35.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  36. 36.Rice at ₹72 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  37. 37.Rice at ₹35 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.A grocer mixes 5 kg of tea at ₹115 per kg with 12 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹61 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  40. 40.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 59
  2. 1
  3. 50
  4. 12
  5. 50
  6. 3
  7. 3
  8. 6
  9. 40
  10. 9
  11. 48
  12. 6
  13. 50
  14. 16
  15. 50
  16. 68
  17. 84
  18. 18
  19. 87
  20. 80
  21. 8
  22. 24
  23. 6
  24. 36
  25. 20
  26. 44
  27. 15
  28. 63
  29. 63
  30. 5
  31. 8
  32. 40
  33. 113
  34. 16
  35. 24
  36. 3
  37. 8
  38. 67
  39. 8
  40. 50

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