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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 446 · 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 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  2. 2.Rice at ₹74 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.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?
  4. 4.A grocer mixes 12 kg of tea at ₹118 per kg with 12 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹62 per kg is mixed with rice at ₹97 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?
  6. 6.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  7. 7.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  8. 8.A grocer mixes 6 kg of tea at ₹81 per kg with 4 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.Rice at ₹80 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  11. 11.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  12. 12.A jug has 50 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?
  13. 13.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.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?
  15. 15.Rice at ₹76 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  16. 16.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?
  17. 17.A grocer mixes 8 kg of tea at ₹106 per kg with 4 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹48 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.Rice at ₹21 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  20. 20.A grocer mixes 5 kg of tea at ₹39 per kg with 10 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 12 kg of tea at ₹53 per kg with 4 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 3 kg of tea at ₹26 per kg with 9 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  25. 25.Rice at ₹39 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.A 72-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?
  27. 27.A grocer mixes 7 kg of tea at ₹57 per kg with 7 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 12-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?
  29. 29.Rice at ₹65 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 1 kg of the dearer rice?
  30. 30.Rice at ₹68 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  31. 31.Rice at ₹49 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  32. 32.Rice at ₹41 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  33. 33.Rice at ₹23 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  34. 34.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  35. 35.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?
  36. 36.Rice at ₹32 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  37. 37.Rice at ₹59 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.Rice at ₹25 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.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?
  40. 40.Rice at ₹43 per kg is mixed with rice at ₹99 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?

Answer key

  1. 36
  2. 2
  3. 75
  4. 113
  5. 2
  6. 20
  7. 4
  8. 71
  9. 25
  10. 35
  11. 30
  12. 50
  13. 50
  14. 25
  15. 2
  16. 20
  17. 105
  18. 30
  19. 5
  20. 85
  21. 61
  22. 62
  23. 30
  24. 40
  25. 16
  26. 27
  27. 75
  28. 12
  29. 5
  30. 28
  31. 2
  32. 5
  33. 8
  34. 28
  35. 80
  36. 18
  37. 6
  38. 2
  39. 40
  40. 5

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