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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 856 · 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.

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  1. 1.A grocer mixes 11 kg of tea at ₹75 per kg with 6 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹41 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  3. 3.A grocer mixes 4 kg of tea at ₹64 per kg with 8 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 9-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?
  5. 5.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?
  6. 6.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  7. 7.A jug has 20 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?
  8. 8.Rice at ₹74 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.Rice at ₹61 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  10. 10.A jug has 20 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?
  11. 11.A grocer mixes 4 kg of tea at ₹66 per kg with 10 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.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?
  14. 14.Rice at ₹67 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  15. 15.A grocer mixes 4 kg of tea at ₹58 per kg with 4 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 6 kg of tea at ₹64 per kg with 3 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  18. 18.Rice at ₹45 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  19. 19.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.Rice at ₹64 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.A 32-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?
  22. 22.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?
  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.A grocer mixes 4 kg of tea at ₹71 per kg with 10 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹21 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 9 kg of the dearer rice?
  26. 26.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  27. 27.Rice at ₹30 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  28. 28.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  29. 29.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?
  30. 30.A grocer mixes 5 kg of tea at ₹120 per kg with 2 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 36-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?
  32. 32.A 12-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?
  33. 33.A 99-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?
  34. 34.A jug has 40 litres of a drink that is 50% 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 : 5?
  36. 36.A jug has 10 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹46 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A grocer mixes 12 kg of tea at ₹30 per kg with 4 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 9 kg of tea at ₹64 per kg with 8 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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 : 8?

Answer key

  1. 57
  2. 8
  3. 70
  4. 9
  5. 50
  6. 5
  7. 60
  8. 12
  9. 6
  10. 55
  11. 81
  12. 25
  13. 10
  14. 12
  15. 62
  16. 78
  17. 9
  18. 32
  19. 50
  20. 30
  21. 24
  22. 50
  23. 75
  24. 101
  25. 6
  26. 40
  27. 24
  28. 12
  29. 25
  30. 106
  31. 18
  32. 12
  33. 18
  34. 60
  35. 28
  36. 60
  37. 15
  38. 41
  39. 56
  40. 40

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