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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 404 · 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 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  2. 2.Rice at ₹69 per kg is mixed with rice at ₹74 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?
  3. 3.Rice at ₹44 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  4. 4.A 27-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?
  5. 5.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A grocer mixes 12 kg of tea at ₹64 per kg with 5 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 9 kg of tea at ₹24 per kg with 6 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹47 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  9. 9.A grocer mixes 4 kg of tea at ₹45 per kg with 2 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹51 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  11. 11.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?
  12. 12.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  13. 13.Rice at ₹60 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  14. 14.A 25-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?
  15. 15.A grocer mixes 3 kg of tea at ₹37 per kg with 9 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.Rice at ₹36 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?
  18. 18.A grocer mixes 12 kg of tea at ₹42 per kg with 2 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.Rice at ₹70 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.A jug has 20 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?
  22. 22.A grocer mixes 3 kg of tea at ₹75 per kg with 12 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹46 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  25. 25.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.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?
  27. 27.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  28. 28.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?
  29. 29.A grocer mixes 6 kg of tea at ₹103 per kg with 8 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹26 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  31. 31.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  32. 32.A jug has 10 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?
  33. 33.Rice at ₹25 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  34. 34.Rice at ₹62 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  35. 35.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A jug has 10 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?
  37. 37.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.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?
  39. 39.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  40. 40.A 84-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?

Answer key

  1. 20
  2. 8
  3. 6
  4. 9
  5. 50
  6. 69
  7. 38
  8. 12
  9. 57
  10. 12
  11. 25
  12. 8
  13. 8
  14. 15
  15. 40
  16. 36
  17. 12
  18. 44
  19. 8
  20. 1
  21. 28
  22. 95
  23. 30
  24. 4
  25. 10
  26. 28
  27. 16
  28. 70
  29. 63
  30. 2
  31. 16
  32. 75
  33. 24
  34. 25
  35. 60
  36. 60
  37. 64
  38. 50
  39. 20
  40. 7

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