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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 530 · 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.Rice at ₹35 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  2. 2.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?
  3. 3.A 36-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?
  4. 4.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  5. 5.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?
  6. 6.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?
  7. 7.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?
  8. 8.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  9. 9.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?
  10. 10.Rice at ₹32 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.Rice at ₹63 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  12. 12.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  13. 13.Rice at ₹49 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  14. 14.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?
  15. 15.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 : 4?
  16. 16.A 84-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?
  17. 17.Rice at ₹45 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A 26-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?
  19. 19.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  20. 20.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  21. 21.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?
  22. 22.A grocer mixes 11 kg of tea at ₹73 per kg with 11 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹36 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.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?
  25. 25.A grocer mixes 12 kg of tea at ₹67 per kg with 3 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹49 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  27. 27.Rice at ₹68 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  28. 28.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?
  29. 29.Rice at ₹21 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  30. 30.Rice at ₹27 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  31. 31.Rice at ₹59 per kg is mixed with rice at ₹84 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?
  32. 32.Rice at ₹55 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  33. 33.Rice at ₹74 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.A 40-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?
  35. 35.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  36. 36.A grocer mixes 3 kg of tea at ₹56 per kg with 6 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.Rice at ₹67 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.A 24-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?
  40. 40.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?

Answer key

  1. 18
  2. 70
  3. 6
  4. 12
  5. 76
  6. 25
  7. 50
  8. 10
  9. 80
  10. 8
  11. 28
  12. 18
  13. 20
  14. 40
  15. 10
  16. 14
  17. 24
  18. 6
  19. 24
  20. 27
  21. 25
  22. 75
  23. 5
  24. 52
  25. 72
  26. 18
  27. 25
  28. 28
  29. 16
  30. 12
  31. 10
  32. 3
  33. 2
  34. 20
  35. 9
  36. 98
  37. 70
  38. 48
  39. 9
  40. 10

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