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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 571 · 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 : 4?
  2. 2.A grocer mixes 5 kg of tea at ₹92 per kg with 5 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹24 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  4. 4.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  6. 6.Rice at ₹36 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 24 kg of the dearer rice?
  7. 7.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  8. 8.Rice at ₹40 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 4 kg of the dearer rice?
  9. 9.Rice at ₹30 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 16 kg of the dearer rice?
  10. 10.A grocer mixes 4 kg of tea at ₹107 per kg with 4 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹37 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A grocer mixes 4 kg of tea at ₹26 per kg with 3 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A grocer mixes 2 kg of tea at ₹51 per kg with 10 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹68 per kg is mixed with rice at ₹80 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?
  19. 19.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?
  20. 20.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?
  21. 21.Rice at ₹22 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  22. 22.Rice at ₹52 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  23. 23.A grocer mixes 12 kg of tea at ₹60 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹46 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  25. 25.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  26. 26.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?
  27. 27.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?
  28. 28.Rice at ₹35 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  29. 29.Rice at ₹76 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.A jug has 10 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?
  31. 31.Rice at ₹70 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.A grocer mixes 12 kg of tea at ₹119 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  34. 34.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 42-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  36. 36.A grocer mixes 7 kg of tea at ₹27 per kg with 3 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹37 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  38. 38.A grocer mixes 4 kg of tea at ₹30 per kg with 2 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹36 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 40 kg of the dearer rice?
  40. 40.Rice at ₹80 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 14
  2. 81
  3. 24
  4. 50
  5. 6
  6. 6
  7. 3
  8. 6
  9. 24
  10. 69
  11. 20
  12. 36
  13. 56
  14. 52
  15. 50
  16. 75
  17. 61
  18. 7
  19. 50
  20. 76
  21. 3
  22. 5
  23. 56
  24. 10
  25. 8
  26. 80
  27. 36
  28. 3
  29. 16
  30. 40
  31. 24
  32. 100
  33. 4
  34. 64
  35. 24
  36. 36
  37. 24
  38. 33
  39. 24
  40. 3

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