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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 167 · 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 40 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?
  2. 2.A grocer mixes 2 kg of tea at ₹44 per kg with 10 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 35-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  4. 4.Rice at ₹23 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  5. 5.A grocer mixes 9 kg of tea at ₹45 per kg with 3 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 30-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?
  7. 7.Rice at ₹69 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.Rice at ₹48 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.Rice at ₹76 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  10. 10.A 64-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?
  11. 11.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?
  12. 12.Rice at ₹51 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.Rice at ₹35 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  14. 14.A grocer mixes 5 kg of tea at ₹21 per kg with 7 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 5 kg of tea at ₹56 per kg with 6 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹64 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  17. 17.Rice at ₹68 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A 88-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?
  19. 19.A jug has 10 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?
  20. 20.Rice at ₹58 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 9 kg of the dearer rice?
  21. 21.Rice at ₹47 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A grocer mixes 3 kg of tea at ₹22 per kg with 3 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹31 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.A grocer mixes 11 kg of tea at ₹101 per kg with 11 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 2 kg of tea at ₹106 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  27. 27.A 49-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  28. 28.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  30. 30.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?
  31. 31.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?
  32. 32.Rice at ₹22 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.Rice at ₹51 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.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?
  35. 35.Rice at ₹34 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  36. 36.A grocer mixes 4 kg of tea at ₹45 per kg with 8 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 2 kg of tea at ₹105 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹22 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  39. 39.Rice at ₹75 per kg is mixed with rice at ₹89 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?
  40. 40.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?

Answer key

  1. 20
  2. 99
  3. 20
  4. 35
  5. 50
  6. 6
  7. 1
  8. 5
  9. 4
  10. 24
  11. 50
  12. 2
  13. 25
  14. 70
  15. 38
  16. 1
  17. 30
  18. 16
  19. 70
  20. 3
  21. 20
  22. 62
  23. 9
  24. 106
  25. 64
  26. 6
  27. 14
  28. 60
  29. 24
  30. 36
  31. 28
  32. 5
  33. 40
  34. 50
  35. 18
  36. 79
  37. 102
  38. 40
  39. 5
  40. 50

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