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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 764 · 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 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  2. 2.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?
  3. 3.A grocer mixes 6 kg of tea at ₹118 per kg with 9 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  5. 5.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?
  6. 6.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  7. 7.Rice at ₹62 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.Rice at ₹76 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A grocer mixes 5 kg of tea at ₹43 per kg with 3 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  13. 13.Rice at ₹22 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹55 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  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 : 3?
  17. 17.Rice at ₹43 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  18. 18.Rice at ₹33 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  19. 19.A grocer mixes 4 kg of tea at ₹105 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹27 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  21. 21.A jug has 10 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?
  22. 22.Rice at ₹30 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  23. 23.A grocer mixes 6 kg of tea at ₹39 per kg with 6 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 9 kg of tea at ₹90 per kg with 4 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹76 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  26. 26.Rice at ₹40 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.Rice at ₹68 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  28. 28.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A 110-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?
  30. 30.Rice at ₹41 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  31. 31.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  32. 32.A grocer mixes 3 kg of tea at ₹37 per kg with 6 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 7 kg of tea at ₹105 per kg with 4 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹53 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  35. 35.Rice at ₹71 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.A grocer mixes 7 kg of tea at ₹32 per kg with 7 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹39 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.Rice at ₹69 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.A grocer mixes 8 kg of tea at ₹66 per kg with 8 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 27
  2. 52
  3. 79
  4. 18
  5. 70
  6. 4
  7. 30
  8. 6
  9. 50
  10. 52
  11. 50
  12. 28
  13. 10
  14. 40
  15. 9
  16. 6
  17. 6
  18. 8
  19. 75
  20. 8
  21. 80
  22. 5
  23. 61
  24. 86
  25. 3
  26. 6
  27. 1
  28. 80
  29. 10
  30. 8
  31. 16
  32. 65
  33. 81
  34. 30
  35. 8
  36. 63
  37. 2
  38. 4
  39. 71
  40. 60

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