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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 82 · 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 24-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?
  2. 2.Rice at ₹31 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  3. 3.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?
  4. 4.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A jug has 40 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?
  6. 6.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?
  7. 7.Rice at ₹23 per kg is mixed with rice at ₹29 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?
  8. 8.Rice at ₹43 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  9. 9.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 : 9?
  10. 10.Rice at ₹45 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  11. 11.A 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  12. 12.Rice at ₹78 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  13. 13.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?
  14. 14.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  15. 15.A grocer mixes 2 kg of tea at ₹59 per kg with 2 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 28-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?
  17. 17.Rice at ₹58 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  19. 19.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?
  20. 20.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 : 2?
  21. 21.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  22. 22.Rice at ₹21 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  23. 23.A grocer mixes 7 kg of tea at ₹29 per kg with 7 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  25. 25.Rice at ₹26 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.Rice at ₹23 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  27. 27.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?
  28. 28.Rice at ₹66 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 24 kg of the dearer rice?
  29. 29.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?
  30. 30.A 84-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?
  31. 31.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?
  32. 32.Rice at ₹79 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  33. 33.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 : 4?
  34. 34.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?
  35. 35.A 28-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  36. 36.Rice at ₹36 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.Rice at ₹45 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 2 kg of the dearer rice?
  38. 38.A 56-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?
  39. 39.A grocer mixes 3 kg of tea at ₹94 per kg with 3 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?

Answer key

  1. 24
  2. 25
  3. 64
  4. 25
  5. 40
  6. 50
  7. 2
  8. 6
  9. 18
  10. 24
  11. 5
  12. 1
  13. 40
  14. 12
  15. 65
  16. 21
  17. 18
  18. 7
  19. 28
  20. 8
  21. 10
  22. 8
  23. 43
  24. 10
  25. 6
  26. 6
  27. 50
  28. 18
  29. 80
  30. 7
  31. 50
  32. 6
  33. 4
  34. 50
  35. 7
  36. 24
  37. 4
  38. 21
  39. 100
  40. 14

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