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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 170 · 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 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.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?
  3. 3.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  4. 4.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?
  5. 5.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  6. 6.A grocer mixes 10 kg of tea at ₹86 per kg with 5 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  9. 9.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?
  10. 10.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  11. 11.Rice at ₹73 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  12. 12.Rice at ₹21 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.Rice at ₹75 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  14. 14.Rice at ₹55 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  15. 15.Rice at ₹33 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.Rice at ₹21 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  17. 17.A jug has 50 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?
  18. 18.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 5 : 11?
  19. 19.A 22-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?
  20. 20.A grocer mixes 8 kg of tea at ₹86 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 77-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  22. 22.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 : 5?
  23. 23.A grocer mixes 3 kg of tea at ₹37 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  25. 25.A grocer mixes 3 kg of tea at ₹69 per kg with 2 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹47 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  27. 27.A grocer mixes 5 kg of tea at ₹49 per kg with 5 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.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?
  30. 30.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  31. 31.Rice at ₹69 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  32. 32.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?
  33. 33.A grocer mixes 7 kg of tea at ₹79 per kg with 4 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 11 kg of tea at ₹88 per kg with 8 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  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.Rice at ₹27 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  37. 37.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?
  38. 38.Rice at ₹35 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.A grocer mixes 9 kg of tea at ₹77 per kg with 9 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹63 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?

Answer key

  1. 50
  2. 60
  3. 16
  4. 28
  5. 4
  6. 73
  7. 50
  8. 2
  9. 25
  10. 12
  11. 7
  12. 6
  13. 10
  14. 14
  15. 5
  16. 6
  17. 25
  18. 8
  19. 2
  20. 73
  21. 7
  22. 10
  23. 76
  24. 16
  25. 73
  26. 40
  27. 68
  28. 50
  29. 50
  30. 15
  31. 4
  32. 52
  33. 63
  34. 80
  35. 55
  36. 2
  37. 70
  38. 8
  39. 64
  40. 35

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