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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 340 · 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 ₹39 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  2. 2.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  3. 3.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  4. 4.Rice at ₹51 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 5 kg of the dearer rice?
  5. 5.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  6. 6.A grocer mixes 4 kg of tea at ₹92 per kg with 7 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 5 kg of tea at ₹87 per kg with 10 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹46 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹66 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 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  11. 11.A grocer mixes 2 kg of tea at ₹41 per kg with 8 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹29 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.Rice at ₹68 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  14. 14.A grocer mixes 11 kg of tea at ₹26 per kg with 11 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 11 kg of tea at ₹83 per kg with 11 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 72-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?
  17. 17.Rice at ₹28 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  18. 18.A grocer mixes 4 kg of tea at ₹85 per kg with 4 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹36 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 12 kg of the dearer rice?
  20. 20.A 99-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?
  21. 21.A 49-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?
  22. 22.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  23. 23.A grocer mixes 2 kg of tea at ₹32 per kg with 4 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹77 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  26. 26.A grocer mixes 10 kg of tea at ₹108 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 88-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?
  28. 28.A 108-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  29. 29.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?
  30. 30.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  31. 31.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A 49-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  33. 33.Rice at ₹77 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  34. 34.Rice at ₹44 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  36. 36.A grocer mixes 6 kg of tea at ₹116 per kg with 12 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  38. 38.A grocer mixes 3 kg of tea at ₹115 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 44-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?
  40. 40.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?

Answer key

  1. 5
  2. 24
  3. 5
  4. 2
  5. 32
  6. 71
  7. 67
  8. 6
  9. 50
  10. 24
  11. 25
  12. 16
  13. 21
  14. 51
  15. 54
  16. 18
  17. 14
  18. 79
  19. 9
  20. 9
  21. 28
  22. 12
  23. 88
  24. 24
  25. 10
  26. 102
  27. 16
  28. 9
  29. 52
  30. 10
  31. 60
  32. 7
  33. 6
  34. 24
  35. 27
  36. 104
  37. 6
  38. 75
  39. 12
  40. 27

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