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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 143 · 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 jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 4 kg of tea at ₹79 per kg with 7 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A grocer mixes 9 kg of tea at ₹36 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹25 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  6. 6.Rice at ₹61 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  7. 7.A 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  8. 8.Rice at ₹66 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.Rice at ₹23 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  10. 10.Rice at ₹27 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  11. 11.A 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  12. 12.A 56-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  13. 13.A grocer mixes 5 kg of tea at ₹35 per kg with 6 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  15. 15.Rice at ₹80 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  16. 16.A grocer mixes 12 kg of tea at ₹50 per kg with 7 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹34 per kg is mixed with rice at ₹49 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?
  18. 18.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  19. 19.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  20. 20.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹55 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.Rice at ₹21 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 15 kg of the dearer rice?
  23. 23.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?
  24. 24.Rice at ₹73 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 15 kg of the dearer rice?
  25. 25.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.Rice at ₹72 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  27. 27.Rice at ₹36 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  28. 28.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A jug has 40 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?
  30. 30.A 30-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?
  31. 31.A jug has 20 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?
  32. 32.Rice at ₹39 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.Rice at ₹50 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 5 kg of the dearer rice?
  34. 34.Rice at ₹36 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.A grocer mixes 3 kg of tea at ₹69 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 6 kg of tea at ₹74 per kg with 6 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹27 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  39. 39.A 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  40. 40.Rice at ₹46 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 50
  2. 44
  3. 50
  4. 44
  5. 25
  6. 3
  7. 20
  8. 6
  9. 4
  10. 6
  11. 30
  12. 32
  13. 41
  14. 30
  15. 32
  16. 57
  17. 8
  18. 12
  19. 30
  20. 25
  21. 36
  22. 3
  23. 75
  24. 20
  25. 70
  26. 2
  27. 9
  28. 50
  29. 60
  30. 12
  31. 40
  32. 6
  33. 30
  34. 10
  35. 41
  36. 85
  37. 18
  38. 4
  39. 6
  40. 32

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