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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 638 · 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 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?
  2. 2.Rice at ₹47 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  3. 3.Rice at ₹36 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.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?
  5. 5.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  6. 6.Rice at ₹61 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.A 32-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?
  8. 8.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  9. 9.A grocer mixes 2 kg of tea at ₹27 per kg with 2 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹24 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  11. 11.Rice at ₹25 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  12. 12.A 12-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.A 20-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?
  14. 14.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A 14-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?
  16. 16.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?
  17. 17.Rice at ₹75 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  18. 18.Rice at ₹55 per kg is mixed with rice at ₹103 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?
  19. 19.A grocer mixes 3 kg of tea at ₹40 per kg with 12 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 14-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?
  21. 21.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?
  22. 22.A 63-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  23. 23.Rice at ₹23 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.Rice at ₹54 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 4 kg of the dearer rice?
  25. 25.A grocer mixes 9 kg of tea at ₹98 per kg with 11 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 5 kg of tea at ₹57 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A 33-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?
  29. 29.Rice at ₹53 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.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 1 : 2?
  31. 31.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?
  32. 32.A 24-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?
  33. 33.A grocer mixes 3 kg of tea at ₹101 per kg with 3 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 4 kg of tea at ₹84 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹31 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.A grocer mixes 2 kg of tea at ₹73 per kg with 10 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 2 kg of tea at ₹81 per kg with 2 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 2 kg of tea at ₹68 per kg with 2 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 110-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?
  40. 40.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?

Answer key

  1. 28
  2. 14
  3. 3
  4. 80
  5. 27
  6. 20
  7. 8
  8. 6
  9. 28
  10. 8
  11. 8
  12. 2
  13. 16
  14. 25
  15. 2
  16. 64
  17. 4
  18. 3
  19. 56
  20. 4
  21. 50
  22. 21
  23. 30
  24. 16
  25. 65
  26. 45
  27. 25
  28. 9
  29. 6
  30. 21
  31. 50
  32. 8
  33. 89
  34. 68
  35. 10
  36. 33
  37. 92
  38. 69
  39. 20
  40. 4

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