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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 615 · 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 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  2. 2.A grocer mixes 7 kg of tea at ₹50 per kg with 7 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  4. 4.Rice at ₹79 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.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 : 9?
  6. 6.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?
  7. 7.A grocer mixes 3 kg of tea at ₹66 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹29 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  9. 9.A 16-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  10. 10.A 72-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?
  11. 11.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?
  12. 12.Rice at ₹64 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.A grocer mixes 7 kg of tea at ₹80 per kg with 10 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹32 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  15. 15.Rice at ₹28 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.Rice at ₹56 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  17. 17.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  18. 18.Rice at ₹51 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.A grocer mixes 10 kg of tea at ₹76 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A 44-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?
  22. 22.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  23. 23.Rice at ₹79 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  24. 24.Rice at ₹77 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.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?
  26. 26.A grocer mixes 6 kg of tea at ₹56 per kg with 5 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹24 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  28. 28.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  29. 29.A grocer mixes 8 kg of tea at ₹36 per kg with 12 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹22 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  31. 31.A grocer mixes 6 kg of tea at ₹99 per kg with 4 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 11 kg of tea at ₹25 per kg with 3 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  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.A grocer mixes 6 kg of tea at ₹83 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.Rice at ₹73 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  37. 37.Rice at ₹39 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.A jug has 40 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?
  39. 39.Rice at ₹70 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  40. 40.A grocer mixes 10 kg of tea at ₹52 per kg with 10 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 21
  2. 55
  3. 8
  4. 4
  5. 28
  6. 25
  7. 50
  8. 20
  9. 8
  10. 9
  11. 70
  12. 32
  13. 70
  14. 24
  15. 9
  16. 6
  17. 2
  18. 8
  19. 85
  20. 25
  21. 4
  22. 5
  23. 16
  24. 2
  25. 60
  26. 41
  27. 3
  28. 4
  29. 48
  30. 6
  31. 91
  32. 28
  33. 28
  34. 107
  35. 76
  36. 15
  37. 6
  38. 60
  39. 7
  40. 47

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