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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 645 · 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 ₹26 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  2. 2.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  3. 3.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  4. 4.A grocer mixes 2 kg of tea at ₹27 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹37 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.Rice at ₹80 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.A grocer mixes 6 kg of tea at ₹44 per kg with 9 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 4 kg of tea at ₹81 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  11. 11.A jug has 25 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?
  12. 12.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?
  13. 13.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?
  14. 14.Rice at ₹45 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  15. 15.Rice at ₹68 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  16. 16.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  17. 17.A grocer mixes 9 kg of tea at ₹33 per kg with 8 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 7 kg of tea at ₹87 per kg with 7 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹30 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  20. 20.A jug has 10 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?
  21. 21.Rice at ₹23 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A 27-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?
  23. 23.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  25. 25.A 63-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?
  26. 26.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  27. 27.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.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?
  29. 29.A grocer mixes 6 kg of tea at ₹21 per kg with 10 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹77 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  31. 31.Rice at ₹21 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.Rice at ₹33 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  33. 33.A grocer mixes 10 kg of tea at ₹95 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 56-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?
  35. 35.A grocer mixes 3 kg of tea at ₹38 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 4 kg of tea at ₹108 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹62 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  38. 38.A grocer mixes 4 kg of tea at ₹95 per kg with 3 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 3 kg of tea at ₹49 per kg with 3 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A jug has 40 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 24
  2. 8
  3. 3
  4. 81
  5. 80
  6. 36
  7. 1
  8. 38
  9. 87
  10. 16
  11. 50
  12. 76
  13. 18
  14. 35
  15. 48
  16. 27
  17. 73
  18. 57
  19. 42
  20. 40
  21. 16
  22. 9
  23. 40
  24. 40
  25. 36
  26. 30
  27. 50
  28. 50
  29. 41
  30. 6
  31. 8
  32. 5
  33. 99
  34. 8
  35. 34
  36. 101
  37. 2
  38. 71
  39. 42
  40. 60

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