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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 26 · 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.Rice at ₹20 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  2. 2.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  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 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  5. 5.Rice at ₹20 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.Rice at ₹51 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  7. 7.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  8. 8.A grocer mixes 8 kg of tea at ₹113 per kg with 12 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹25 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  10. 10.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?
  11. 11.A 49-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?
  12. 12.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  13. 13.A grocer mixes 2 kg of tea at ₹44 per kg with 7 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹79 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  15. 15.Rice at ₹69 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.A 32-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?
  17. 17.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?
  18. 18.A grocer mixes 2 kg of tea at ₹60 per kg with 7 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹76 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.Rice at ₹31 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  21. 21.A 56-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?
  22. 22.Rice at ₹62 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  23. 23.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A 16-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?
  25. 25.A grocer mixes 6 kg of tea at ₹80 per kg with 3 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  28. 28.A jug has 10 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?
  29. 29.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?
  30. 30.Rice at ₹77 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  31. 31.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.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?
  33. 33.Rice at ₹67 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.A 88-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  35. 35.Rice at ₹59 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  36. 36.A grocer mixes 9 kg of tea at ₹21 per kg with 9 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 3 kg of tea at ₹105 per kg with 7 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹33 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.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?
  40. 40.A grocer mixes 6 kg of tea at ₹112 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 8
  2. 18
  3. 40
  4. 32
  5. 20
  6. 7
  7. 2
  8. 83
  9. 12
  10. 64
  11. 7
  12. 4
  13. 100
  14. 15
  15. 18
  16. 4
  17. 50
  18. 39
  19. 30
  20. 6
  21. 7
  22. 35
  23. 50
  24. 8
  25. 82
  26. 25
  27. 6
  28. 55
  29. 50
  30. 8
  31. 8
  32. 60
  33. 18
  34. 24
  35. 4
  36. 41
  37. 63
  38. 8
  39. 70
  40. 80

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