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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 238 · 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 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  2. 2.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.Rice at ₹59 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  4. 4.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 : 6?
  5. 5.A grocer mixes 8 kg of tea at ₹108 per kg with 4 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹32 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  7. 7.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  8. 8.Rice at ₹24 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  9. 9.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  10. 10.A grocer mixes 4 kg of tea at ₹110 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹21 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.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?
  13. 13.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  14. 14.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 : 5?
  15. 15.A grocer mixes 12 kg of tea at ₹84 per kg with 10 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.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 : 3?
  18. 18.A grocer mixes 4 kg of tea at ₹83 per kg with 4 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  20. 20.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  21. 21.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?
  22. 22.Rice at ₹74 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  23. 23.A grocer mixes 12 kg of tea at ₹37 per kg with 12 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹31 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.A grocer mixes 9 kg of tea at ₹63 per kg with 9 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 40 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?
  27. 27.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 : 2?
  28. 28.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  29. 29.Rice at ₹47 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  30. 30.A grocer mixes 3 kg of tea at ₹100 per kg with 3 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 24-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?
  32. 32.Rice at ₹52 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  33. 33.Rice at ₹44 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.Rice at ₹60 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.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?
  36. 36.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  37. 37.Rice at ₹31 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 15 kg of the dearer rice?
  38. 38.Rice at ₹32 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  39. 39.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  40. 40.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?

Answer key

  1. 9
  2. 80
  3. 6
  4. 12
  5. 104
  6. 1
  7. 28
  8. 3
  9. 16
  10. 94
  11. 1
  12. 28
  13. 21
  14. 2
  15. 99
  16. 25
  17. 8
  18. 98
  19. 9
  20. 12
  21. 60
  22. 20
  23. 46
  24. 12
  25. 82
  26. 36
  27. 40
  28. 8
  29. 1
  30. 77
  31. 6
  32. 8
  33. 16
  34. 8
  35. 55
  36. 9
  37. 3
  38. 4
  39. 30
  40. 50

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