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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 274 · 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 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  2. 2.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?
  3. 3.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A grocer mixes 6 kg of tea at ₹40 per kg with 6 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  6. 6.A grocer mixes 10 kg of tea at ₹25 per kg with 2 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A grocer mixes 12 kg of tea at ₹30 per kg with 7 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 11 kg of tea at ₹43 per kg with 3 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 20 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?
  11. 11.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 : 3?
  12. 12.Rice at ₹35 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.A grocer mixes 12 kg of tea at ₹30 per kg with 9 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  15. 15.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  16. 16.A 81-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?
  17. 17.A grocer mixes 9 kg of tea at ₹21 per kg with 8 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹71 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  19. 19.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?
  20. 20.Rice at ₹23 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  21. 21.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  22. 22.Rice at ₹36 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  24. 24.A 36-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?
  25. 25.A grocer mixes 5 kg of tea at ₹85 per kg with 10 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 12 kg of tea at ₹48 per kg with 9 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  28. 28.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?
  29. 29.A grocer mixes 2 kg of tea at ₹87 per kg with 2 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 9 kg of tea at ₹72 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 16-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?
  32. 32.A grocer mixes 5 kg of tea at ₹61 per kg with 5 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹74 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.A grocer mixes 5 kg of tea at ₹69 per kg with 2 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹20 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  36. 36.Rice at ₹24 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.A grocer mixes 9 kg of tea at ₹51 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹41 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.A 45-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?
  40. 40.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?

Answer key

  1. 21
  2. 70
  3. 50
  4. 64
  5. 9
  6. 29
  7. 40
  8. 37
  9. 58
  10. 70
  11. 4
  12. 1
  13. 48
  14. 12
  15. 4
  16. 27
  17. 53
  18. 20
  19. 50
  20. 4
  21. 8
  22. 6
  23. 36
  24. 6
  25. 99
  26. 39
  27. 20
  28. 28
  29. 95
  30. 62
  31. 4
  32. 57
  33. 10
  34. 67
  35. 7
  36. 5
  37. 49
  38. 4
  39. 10
  40. 60

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