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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 139 · 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 10 kg of tea at ₹116 per kg with 3 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 10 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?
  3. 3.A 18-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?
  4. 4.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  5. 5.A grocer mixes 2 kg of tea at ₹89 per kg with 7 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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 : 8?
  7. 7.Rice at ₹48 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.Rice at ₹71 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.Rice at ₹64 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  10. 10.Rice at ₹53 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.Rice at ₹59 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  12. 12.Rice at ₹34 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  13. 13.Rice at ₹42 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  14. 14.A grocer mixes 2 kg of tea at ₹76 per kg with 12 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 5 kg of tea at ₹54 per kg with 5 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹66 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.Rice at ₹64 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.A grocer mixes 3 kg of tea at ₹98 per kg with 3 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹74 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  20. 20.Rice at ₹46 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.Rice at ₹80 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  23. 23.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  24. 24.A 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  25. 25.A grocer mixes 8 kg of tea at ₹95 per kg with 10 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 2 kg of tea at ₹109 per kg with 4 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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 : 4?
  28. 28.Rice at ₹59 per kg is mixed with rice at ₹65 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?
  29. 29.A grocer mixes 3 kg of tea at ₹65 per kg with 3 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  31. 31.A grocer mixes 2 kg of tea at ₹82 per kg with 2 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.Rice at ₹77 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  34. 34.Rice at ₹61 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.Rice at ₹44 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  36. 36.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?
  37. 37.Rice at ₹69 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.A 84-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?
  39. 39.Rice at ₹62 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 113
  2. 70
  3. 4
  4. 14
  5. 103
  6. 21
  7. 12
  8. 30
  9. 8
  10. 12
  11. 2
  12. 18
  13. 42
  14. 52
  15. 61
  16. 3
  17. 1
  18. 87
  19. 4
  20. 6
  21. 50
  22. 3
  23. 3
  24. 20
  25. 75
  26. 111
  27. 20
  28. 8
  29. 62
  30. 4
  31. 97
  32. 28
  33. 14
  34. 24
  35. 32
  36. 40
  37. 3
  38. 21
  39. 20
  40. 60

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