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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 728 · 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 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  2. 2.Rice at ₹48 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.Rice at ₹24 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.Rice at ₹33 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  5. 5.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  6. 6.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?
  7. 7.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  8. 8.A jug has 10 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?
  9. 9.Rice at ₹71 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  10. 10.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?
  11. 11.Rice at ₹62 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.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?
  13. 13.Rice at ₹44 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  14. 14.A grocer mixes 9 kg of tea at ₹71 per kg with 9 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 9 kg of tea at ₹23 per kg with 8 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.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?
  18. 18.A grocer mixes 6 kg of tea at ₹74 per kg with 6 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹72 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  20. 20.A grocer mixes 10 kg of tea at ₹52 per kg with 2 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 9 kg of tea at ₹118 per kg with 5 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 4 kg of tea at ₹104 per kg with 6 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 2 kg of tea at ₹52 per kg with 10 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  25. 25.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?
  26. 26.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 2 : 7?
  27. 27.A grocer mixes 4 kg of tea at ₹36 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 4 kg of tea at ₹80 per kg with 3 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹43 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.Rice at ₹21 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  31. 31.A 24-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?
  32. 32.A grocer mixes 6 kg of tea at ₹86 per kg with 6 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹58 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  34. 34.Rice at ₹46 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 10 kg of the dearer rice?
  35. 35.A grocer mixes 4 kg of tea at ₹20 per kg with 5 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.Rice at ₹45 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.A grocer mixes 7 kg of tea at ₹68 per kg with 5 kg of tea at ₹20 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 3 kg of tea at ₹89 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 40
  2. 4
  3. 2
  4. 8
  5. 24
  6. 60
  7. 8
  8. 70
  9. 21
  10. 68
  11. 10
  12. 40
  13. 1
  14. 67
  15. 39
  16. 3
  17. 75
  18. 84
  19. 48
  20. 62
  21. 88
  22. 71
  23. 72
  24. 28
  25. 50
  26. 20
  27. 32
  28. 86
  29. 9
  30. 4
  31. 12
  32. 67
  33. 4
  34. 8
  35. 60
  36. 40
  37. 2
  38. 48
  39. 52
  40. 103

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