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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 787 · 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 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 : 5?
  2. 2.Rice at ₹43 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.A 28-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?
  4. 4.Rice at ₹31 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.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 : 6?
  6. 6.A 48-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?
  7. 7.A grocer mixes 8 kg of tea at ₹20 per kg with 6 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 40 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?
  9. 9.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 : 9?
  10. 10.Rice at ₹79 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.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?
  12. 12.Rice at ₹48 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  13. 13.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.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?
  15. 15.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A grocer mixes 5 kg of tea at ₹90 per kg with 5 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹79 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  18. 18.A 63-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?
  19. 19.A grocer mixes 3 kg of tea at ₹27 per kg with 3 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 5 kg of tea at ₹120 per kg with 10 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹48 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  22. 22.A grocer mixes 12 kg of tea at ₹89 per kg with 3 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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 : 4?
  24. 24.A grocer mixes 4 kg of tea at ₹64 per kg with 8 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹38 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  26. 26.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?
  27. 27.A grocer mixes 6 kg of tea at ₹100 per kg with 4 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹48 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.A grocer mixes 12 kg of tea at ₹116 per kg with 3 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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 : 7?
  31. 31.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  32. 32.Rice at ₹20 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  33. 33.Rice at ₹52 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  34. 34.A jug has 20 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?
  35. 35.Rice at ₹33 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.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?
  37. 37.Rice at ₹34 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  38. 38.A 10-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  39. 39.A grocer mixes 8 kg of tea at ₹61 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?

Answer key

  1. 15
  2. 9
  3. 8
  4. 6
  5. 12
  6. 6
  7. 35
  8. 52
  9. 12
  10. 1
  11. 28
  12. 5
  13. 4
  14. 20
  15. 50
  16. 99
  17. 3
  18. 36
  19. 24
  20. 110
  21. 18
  22. 86
  23. 10
  24. 46
  25. 4
  26. 75
  27. 98
  28. 8
  29. 101
  30. 14
  31. 5
  32. 8
  33. 3
  34. 60
  35. 25
  36. 70
  37. 4
  38. 4
  39. 49
  40. 28

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