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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 356 · 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. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A grocer mixes 9 kg of tea at ₹109 per kg with 5 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 6 kg of tea at ₹108 per kg with 3 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹36 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  6. 6.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?
  7. 7.A grocer mixes 3 kg of tea at ₹106 per kg with 3 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹73 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A grocer mixes 3 kg of tea at ₹118 per kg with 4 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A grocer mixes 6 kg of tea at ₹46 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 2 kg of tea at ₹28 per kg with 2 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  14. 14.Rice at ₹34 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  15. 15.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?
  16. 16.Rice at ₹36 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  17. 17.A grocer mixes 12 kg of tea at ₹20 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 90-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?
  19. 19.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  20. 20.Rice at ₹25 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  21. 21.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  22. 22.A grocer mixes 3 kg of tea at ₹40 per kg with 6 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹60 per kg is mixed with rice at ₹148 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  24. 24.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 : 5?
  25. 25.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  26. 26.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?
  27. 27.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?
  28. 28.Rice at ₹30 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  30. 30.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  31. 31.Rice at ₹71 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  32. 32.Rice at ₹36 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.A jug has 40 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?
  34. 34.A grocer mixes 5 kg of tea at ₹35 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹22 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.Rice at ₹78 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.Rice at ₹70 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  38. 38.Rice at ₹31 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  39. 39.A jug has 40 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?
  40. 40.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?

Answer key

  1. 25
  2. 25
  3. 84
  4. 106
  5. 28
  6. 25
  7. 94
  8. 9
  9. 82
  10. 50
  11. 54
  12. 42
  13. 18
  14. 15
  15. 25
  16. 24
  17. 24
  18. 20
  19. 10
  20. 40
  21. 3
  22. 84
  23. 12
  24. 18
  25. 8
  26. 60
  27. 40
  28. 48
  29. 9
  30. 28
  31. 35
  32. 16
  33. 36
  34. 65
  35. 20
  36. 16
  37. 15
  38. 8
  39. 52
  40. 4

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