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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 525 · 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 6 kg of tea at ₹85 per kg with 6 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  3. 3.Rice at ₹54 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 28 kg of the dearer rice?
  4. 4.A 66-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  5. 5.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?
  6. 6.Rice at ₹24 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  8. 8.Rice at ₹78 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  9. 9.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?
  10. 10.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?
  11. 11.A grocer mixes 7 kg of tea at ₹76 per kg with 7 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  13. 13.Rice at ₹49 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.Rice at ₹46 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  15. 15.Rice at ₹24 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  16. 16.Rice at ₹49 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  17. 17.Rice at ₹60 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  18. 18.Rice at ₹40 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.Rice at ₹77 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A grocer mixes 7 kg of tea at ₹80 per kg with 8 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹61 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  22. 22.Rice at ₹23 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.A grocer mixes 9 kg of tea at ₹33 per kg with 11 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.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?
  26. 26.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?
  27. 27.Rice at ₹40 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  28. 28.A 40-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?
  29. 29.A 72-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  30. 30.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?
  31. 31.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  32. 32.Rice at ₹53 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  33. 33.Rice at ₹30 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  34. 34.Rice at ₹40 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  35. 35.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?
  36. 36.A grocer mixes 4 kg of tea at ₹106 per kg with 12 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 9 kg of tea at ₹67 per kg with 3 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  39. 39.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?
  40. 40.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?

Answer key

  1. 76
  2. 32
  3. 7
  4. 24
  5. 68
  6. 8
  7. 8
  8. 2
  9. 50
  10. 70
  11. 98
  12. 14
  13. 12
  14. 30
  15. 25
  16. 25
  17. 3
  18. 15
  19. 30
  20. 64
  21. 4
  22. 12
  23. 77
  24. 40
  25. 50
  26. 40
  27. 10
  28. 10
  29. 24
  30. 36
  31. 8
  32. 2
  33. 40
  34. 3
  35. 25
  36. 58
  37. 80
  38. 40
  39. 50
  40. 28

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