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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 292 · 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 grocer mixes 2 kg of tea at ₹45 per kg with 2 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹58 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  3. 3.Rice at ₹66 per kg is mixed with rice at ₹138 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.Rice at ₹48 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  5. 5.A grocer mixes 6 kg of tea at ₹103 per kg with 2 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 60-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  7. 7.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  8. 8.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  9. 9.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  10. 10.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?
  11. 11.Rice at ₹64 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  12. 12.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?
  13. 13.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?
  14. 14.Rice at ₹52 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  15. 15.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A 30-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?
  17. 17.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?
  18. 18.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?
  19. 19.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  21. 21.Rice at ₹64 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.Rice at ₹73 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A 66-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  24. 24.Rice at ₹57 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.A 72-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?
  26. 26.Rice at ₹37 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.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?
  28. 28.A grocer mixes 6 kg of tea at ₹23 per kg with 8 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹34 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.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?
  31. 31.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?
  32. 32.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?
  33. 33.Rice at ₹54 per kg is mixed with rice at ₹142 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.Rice at ₹38 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 1 kg of the dearer rice?
  35. 35.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A 72-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  37. 37.A grocer mixes 3 kg of tea at ₹89 per kg with 6 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.Rice at ₹68 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  40. 40.A grocer mixes 5 kg of tea at ₹98 per kg with 10 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 46
  2. 40
  3. 4
  4. 10
  5. 96
  6. 18
  7. 10
  8. 6
  9. 15
  10. 15
  11. 5
  12. 40
  13. 25
  14. 6
  15. 75
  16. 12
  17. 60
  18. 50
  19. 50
  20. 6
  21. 8
  22. 2
  23. 6
  24. 5
  25. 16
  26. 10
  27. 40
  28. 55
  29. 16
  30. 25
  31. 68
  32. 70
  33. 12
  34. 6
  35. 60
  36. 27
  37. 77
  38. 40
  39. 5
  40. 60

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