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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 994 · 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. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  3. 3.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?
  4. 4.Rice at ₹25 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  5. 5.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 1 : 1?
  6. 6.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?
  7. 7.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  9. 9.A grocer mixes 5 kg of tea at ₹47 per kg with 5 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹30 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  11. 11.Rice at ₹65 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  12. 12.Rice at ₹80 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  13. 13.A grocer mixes 5 kg of tea at ₹108 per kg with 10 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹66 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.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?
  16. 16.A grocer mixes 4 kg of tea at ₹114 per kg with 2 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹58 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  18. 18.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.Rice at ₹60 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  21. 21.A grocer mixes 9 kg of tea at ₹69 per kg with 9 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 6 kg of tea at ₹64 per kg with 9 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 5 kg of tea at ₹81 per kg with 6 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 12 kg of tea at ₹101 per kg with 8 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.A grocer mixes 2 kg of tea at ₹72 per kg with 5 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹60 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.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?
  29. 29.Rice at ₹78 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  30. 30.Rice at ₹43 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 2 kg of the dearer rice?
  31. 31.A grocer mixes 12 kg of tea at ₹95 per kg with 7 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 50 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?
  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 jug has 20 litres of a drink that is 20% mango juice. 5 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 ₹90 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  37. 37.A grocer mixes 5 kg of tea at ₹86 per kg with 4 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹48 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  39. 39.A grocer mixes 4 kg of tea at ₹75 per kg with 8 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 35-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?

Answer key

  1. 25
  2. 20
  3. 14
  4. 9
  5. 18
  6. 60
  7. 64
  8. 24
  9. 69
  10. 4
  11. 2
  12. 16
  13. 100
  14. 6
  15. 28
  16. 97
  17. 40
  18. 60
  19. 40
  20. 16
  21. 60
  22. 70
  23. 93
  24. 91
  25. 5
  26. 37
  27. 10
  28. 80
  29. 5
  30. 6
  31. 74
  32. 50
  33. 36
  34. 36
  35. 2
  36. 4
  37. 98
  38. 14
  39. 59
  40. 15

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