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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 640 · 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 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  2. 2.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?
  3. 3.Rice at ₹67 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.A grocer mixes 10 kg of tea at ₹29 per kg with 10 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 3 kg of tea at ₹112 per kg with 5 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹78 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  7. 7.Rice at ₹78 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  8. 8.A grocer mixes 2 kg of tea at ₹21 per kg with 2 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.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?
  11. 11.A grocer mixes 3 kg of tea at ₹85 per kg with 8 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 12 kg of tea at ₹86 per kg with 7 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 10 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?
  14. 14.Rice at ₹77 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  15. 15.A 24-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  16. 16.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  17. 17.Rice at ₹54 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  18. 18.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  19. 19.A jug has 20 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?
  20. 20.A grocer mixes 12 kg of tea at ₹40 per kg with 7 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.Rice at ₹29 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.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?
  24. 24.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  25. 25.Rice at ₹27 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.Rice at ₹64 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.A grocer mixes 10 kg of tea at ₹46 per kg with 3 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹68 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  29. 29.Rice at ₹67 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 6 kg of the dearer rice?
  30. 30.A grocer mixes 4 kg of tea at ₹88 per kg with 5 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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 2 : 7?
  32. 32.A 28-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?
  33. 33.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?
  34. 34.A jug has 40 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?
  35. 35.Rice at ₹38 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.A 81-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  37. 37.Rice at ₹27 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 5 kg of the dearer rice?
  38. 38.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  39. 39.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.Rice at ₹52 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 24
  2. 20
  3. 8
  4. 38
  5. 107
  6. 35
  7. 18
  8. 66
  9. 20
  10. 25
  11. 101
  12. 72
  13. 75
  14. 30
  15. 18
  16. 12
  17. 5
  18. 16
  19. 40
  20. 33
  21. 40
  22. 12
  23. 50
  24. 14
  25. 15
  26. 2
  27. 55
  28. 5
  29. 5
  30. 58
  31. 24
  32. 21
  33. 40
  34. 40
  35. 24
  36. 27
  37. 1
  38. 8
  39. 50
  40. 4

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