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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 246 · 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 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 : 6?
  2. 2.A grocer mixes 7 kg of tea at ₹96 per kg with 7 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.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?
  5. 5.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?
  6. 6.A grocer mixes 4 kg of tea at ₹108 per kg with 12 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹22 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  8. 8.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?
  9. 9.A 16-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?
  10. 10.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?
  11. 11.A 16-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?
  12. 12.Rice at ₹76 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  13. 13.A 52-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?
  14. 14.Rice at ₹36 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  15. 15.Rice at ₹42 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  16. 16.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?
  17. 17.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  18. 18.A grocer mixes 12 kg of tea at ₹69 per kg with 8 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 8 kg of tea at ₹106 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  22. 22.Rice at ₹21 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.A 56-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?
  24. 24.A grocer mixes 4 kg of tea at ₹51 per kg with 2 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹66 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹114 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  26. 26.A jug has 25 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 grocer mixes 12 kg of tea at ₹70 per kg with 8 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 2 kg of tea at ₹26 per kg with 12 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹44 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.A grocer mixes 2 kg of tea at ₹23 per kg with 8 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 10 kg of tea at ₹24 per kg with 10 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹34 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  33. 33.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?
  34. 34.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  35. 35.Rice at ₹59 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  36. 36.A grocer mixes 10 kg of tea at ₹87 per kg with 4 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.Rice at ₹79 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  39. 39.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  40. 40.A jug has 10 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. 7
  2. 101
  3. 20
  4. 70
  5. 36
  6. 114
  7. 8
  8. 60
  9. 4
  10. 50
  11. 2
  12. 40
  13. 12
  14. 2
  15. 18
  16. 70
  17. 32
  18. 87
  19. 66
  20. 60
  21. 2
  22. 9
  23. 32
  24. 54
  25. 1
  26. 50
  27. 74
  28. 44
  29. 5
  30. 63
  31. 53
  32. 14
  33. 70
  34. 6
  35. 8
  36. 93
  37. 50
  38. 25
  39. 32
  40. 80

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