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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 646 · 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 ₹61 per kg is mixed with rice at ₹66 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?
  2. 2.Rice at ₹59 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.Rice at ₹44 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  4. 4.Rice at ₹68 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.Rice at ₹30 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.A jug has 20 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.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?
  8. 8.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?
  9. 9.A grocer mixes 5 kg of tea at ₹37 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 40 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A grocer mixes 3 kg of tea at ₹48 per kg with 7 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 24-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  13. 13.A grocer mixes 11 kg of tea at ₹55 per kg with 7 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  15. 15.A grocer mixes 12 kg of tea at ₹47 per kg with 12 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.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?
  18. 18.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  19. 19.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  20. 20.A grocer mixes 4 kg of tea at ₹80 per kg with 12 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.Rice at ₹54 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.Rice at ₹28 per kg is mixed with rice at ₹35 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?
  24. 24.A 63-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?
  25. 25.Rice at ₹75 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 7 kg of the dearer rice?
  26. 26.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  27. 27.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?
  28. 28.Rice at ₹47 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  29. 29.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?
  30. 30.Rice at ₹22 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.Rice at ₹45 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  32. 32.A 40-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?
  33. 33.Rice at ₹79 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  34. 34.A 30-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  35. 35.A 70-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?
  36. 36.A grocer mixes 5 kg of tea at ₹63 per kg with 4 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 78-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  38. 38.A grocer mixes 12 kg of tea at ₹75 per kg with 8 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A grocer mixes 12 kg of tea at ₹51 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 24
  2. 6
  3. 35
  4. 8
  5. 15
  6. 55
  7. 25
  8. 50
  9. 61
  10. 40
  11. 83
  12. 16
  13. 76
  14. 7
  15. 51
  16. 28
  17. 52
  18. 10
  19. 40
  20. 68
  21. 40
  22. 6
  23. 15
  24. 9
  25. 28
  26. 6
  27. 68
  28. 10
  29. 28
  30. 4
  31. 15
  32. 16
  33. 2
  34. 15
  35. 10
  36. 83
  37. 6
  38. 55
  39. 60
  40. 62

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