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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 836 · 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 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹66 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  3. 3.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?
  4. 4.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  5. 5.A 88-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.Rice at ₹66 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  7. 7.Rice at ₹57 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  8. 8.A grocer mixes 2 kg of tea at ₹115 per kg with 8 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  11. 11.Rice at ₹20 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  12. 12.A 40-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  13. 13.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  14. 14.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  15. 15.A grocer mixes 3 kg of tea at ₹116 per kg with 3 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  17. 17.Rice at ₹80 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  18. 18.Rice at ₹64 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.Rice at ₹76 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  20. 20.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.A grocer mixes 9 kg of tea at ₹24 per kg with 9 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹20 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  23. 23.Rice at ₹55 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.Rice at ₹74 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  27. 27.Rice at ₹29 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  29. 29.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?
  30. 30.Rice at ₹46 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  31. 31.A grocer mixes 2 kg of tea at ₹52 per kg with 2 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  33. 33.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?
  34. 34.Rice at ₹29 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  35. 35.Rice at ₹28 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  36. 36.A grocer mixes 9 kg of tea at ₹51 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹53 per kg is mixed with rice at ₹65 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?
  38. 38.A grocer mixes 7 kg of tea at ₹111 per kg with 7 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.Rice at ₹51 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?

Answer key

  1. 75
  2. 12
  3. 40
  4. 3
  5. 24
  6. 4
  7. 7
  8. 75
  9. 25
  10. 9
  11. 2
  12. 15
  13. 20
  14. 3
  15. 114
  16. 8
  17. 2
  18. 6
  19. 48
  20. 8
  21. 67
  22. 4
  23. 2
  24. 6
  25. 2
  26. 9
  27. 5
  28. 32
  29. 25
  30. 2
  31. 85
  32. 3
  33. 28
  34. 10
  35. 40
  36. 52
  37. 16
  38. 76
  39. 50
  40. 18

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