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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 591 · 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 grocer mixes 11 kg of tea at ₹29 per kg with 11 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.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?
  4. 4.Rice at ₹73 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  5. 5.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 1 : 1?
  6. 6.Rice at ₹76 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  7. 7.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 : 7?
  8. 8.A 54-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  9. 9.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  10. 10.A grocer mixes 8 kg of tea at ₹47 per kg with 2 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.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?
  13. 13.A grocer mixes 3 kg of tea at ₹46 per kg with 9 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹58 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  15. 15.A grocer mixes 3 kg of tea at ₹70 per kg with 3 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  18. 18.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.A grocer mixes 6 kg of tea at ₹102 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 20 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?
  21. 21.Rice at ₹55 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.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?
  23. 23.Rice at ₹71 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.A grocer mixes 3 kg of tea at ₹33 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A grocer mixes 6 kg of tea at ₹24 per kg with 12 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 3 kg of tea at ₹47 per kg with 7 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 3 kg of tea at ₹73 per kg with 3 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 10 kg of tea at ₹69 per kg with 10 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  32. 32.Rice at ₹49 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 8 kg of the dearer rice?
  33. 33.A grocer mixes 11 kg of tea at ₹49 per kg with 5 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  35. 35.A grocer mixes 3 kg of tea at ₹119 per kg with 3 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹68 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.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?
  39. 39.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  40. 40.A jug has 10 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?

Answer key

  1. 53
  2. 50
  3. 76
  4. 15
  5. 2
  6. 8
  7. 30
  8. 12
  9. 12
  10. 58
  11. 80
  12. 36
  13. 58
  14. 15
  15. 48
  16. 50
  17. 18
  18. 5
  19. 83
  20. 52
  21. 10
  22. 70
  23. 15
  24. 6
  25. 41
  26. 50
  27. 54
  28. 40
  29. 81
  30. 92
  31. 28
  32. 6
  33. 54
  34. 16
  35. 115
  36. 10
  37. 60
  38. 64
  39. 5
  40. 60

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