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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 262 · 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 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 : 6?
  2. 2.A grocer mixes 6 kg of tea at ₹29 per kg with 12 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.Rice at ₹31 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  5. 5.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  6. 6.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  7. 7.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?
  8. 8.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A grocer mixes 11 kg of tea at ₹35 per kg with 11 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹31 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  11. 11.A 10-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?
  12. 12.Rice at ₹42 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.Rice at ₹74 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.A jug has 40 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 ₹61 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  16. 16.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?
  17. 17.Rice at ₹34 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  18. 18.Rice at ₹74 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹114 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  19. 19.A 90-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?
  20. 20.Rice at ₹53 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  21. 21.Rice at ₹56 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  22. 22.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  23. 23.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 4 : 11?
  24. 24.A grocer mixes 2 kg of tea at ₹72 per kg with 7 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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 1 : 2?
  26. 26.A grocer mixes 6 kg of tea at ₹91 per kg with 6 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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 48 kg of the dearer rice?
  28. 28.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?
  29. 29.Rice at ₹20 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  30. 30.Rice at ₹41 per kg is mixed with rice at ₹55 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?
  31. 31.Rice at ₹26 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.A grocer mixes 2 kg of tea at ₹37 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹78 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  34. 34.A jug has 20 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?
  35. 35.A grocer mixes 3 kg of tea at ₹63 per kg with 3 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹72 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  37. 37.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  39. 39.Rice at ₹51 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.Rice at ₹37 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 21
  2. 23
  3. 60
  4. 15
  5. 9
  6. 32
  7. 50
  8. 60
  9. 76
  10. 18
  11. 6
  12. 4
  13. 5
  14. 28
  15. 12
  16. 28
  17. 6
  18. 3
  19. 9
  20. 6
  21. 25
  22. 9
  23. 40
  24. 107
  25. 18
  26. 105
  27. 8
  28. 50
  29. 6
  30. 40
  31. 8
  32. 31
  33. 7
  34. 70
  35. 67
  36. 4
  37. 36
  38. 16
  39. 2
  40. 24

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