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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 9 · 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 ₹24 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  2. 2.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  3. 3.A grocer mixes 7 kg of tea at ₹67 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.A grocer mixes 7 kg of tea at ₹54 per kg with 8 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 52-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?
  7. 7.Rice at ₹23 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  8. 8.A 99-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  9. 9.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  10. 10.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?
  11. 11.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?
  12. 12.A jug has 40 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?
  13. 13.Rice at ₹29 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.A grocer mixes 3 kg of tea at ₹71 per kg with 12 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.Rice at ₹51 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  17. 17.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?
  18. 18.Rice at ₹58 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.A grocer mixes 11 kg of tea at ₹40 per kg with 11 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹28 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A grocer mixes 10 kg of tea at ₹87 per kg with 10 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 3 kg of tea at ₹119 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  25. 25.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?
  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.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?
  28. 28.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?
  29. 29.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.Rice at ₹44 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  31. 31.A jug has 40 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?
  32. 32.A grocer mixes 5 kg of tea at ₹51 per kg with 10 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  34. 34.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?
  35. 35.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  36. 36.Rice at ₹70 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.Rice at ₹67 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.A grocer mixes 3 kg of tea at ₹37 per kg with 12 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.A grocer mixes 8 kg of tea at ₹98 per kg with 8 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 14
  2. 6
  3. 71
  4. 50
  5. 46
  6. 4
  7. 24
  8. 18
  9. 9
  10. 60
  11. 50
  12. 52
  13. 10
  14. 39
  15. 75
  16. 25
  17. 9
  18. 15
  19. 46
  20. 16
  21. 50
  22. 81
  23. 72
  24. 8
  25. 50
  26. 40
  27. 60
  28. 76
  29. 60
  30. 16
  31. 40
  32. 31
  33. 24
  34. 28
  35. 4
  36. 20
  37. 4
  38. 45
  39. 52
  40. 86

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