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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 765 · 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 ₹30 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.Rice at ₹69 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  3. 3.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?
  4. 4.Rice at ₹22 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  5. 5.A jug has 10 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?
  6. 6.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?
  7. 7.Rice at ₹20 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  8. 8.A 39-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?
  9. 9.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  10. 10.Rice at ₹46 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  11. 11.Rice at ₹42 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.A 56-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?
  13. 13.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 25 kg of the dearer rice?
  14. 14.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?
  15. 15.A grocer mixes 2 kg of tea at ₹116 per kg with 6 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹78 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  17. 17.Rice at ₹28 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  18. 18.A 35-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?
  19. 19.A 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  20. 20.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?
  21. 21.A grocer mixes 10 kg of tea at ₹107 per kg with 2 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  23. 23.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 : 2?
  24. 24.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  25. 25.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 1 : 2?
  26. 26.Rice at ₹73 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  27. 27.A grocer mixes 12 kg of tea at ₹30 per kg with 8 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 54-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?
  29. 29.A 36-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?
  30. 30.A grocer mixes 3 kg of tea at ₹22 per kg with 9 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 3 kg of tea at ₹31 per kg with 10 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹31 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A grocer mixes 9 kg of tea at ₹104 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹28 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.A jug has 20 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.A 26-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?
  38. 38.Rice at ₹35 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.A 56-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  40. 40.Rice at ₹44 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 8
  2. 30
  3. 40
  4. 10
  5. 60
  6. 30
  7. 28
  8. 6
  9. 30
  10. 40
  11. 3
  12. 14
  13. 20
  14. 50
  15. 119
  16. 24
  17. 3
  18. 7
  19. 7
  20. 50
  21. 93
  22. 20
  23. 4
  24. 24
  25. 36
  26. 4
  27. 34
  28. 27
  29. 9
  30. 82
  31. 41
  32. 5
  33. 80
  34. 88
  35. 48
  36. 50
  37. 6
  38. 10
  39. 16
  40. 8

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