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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 2 · 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 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?
  2. 2.A grocer mixes 4 kg of tea at ₹103 per kg with 11 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹76 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.A grocer mixes 6 kg of tea at ₹117 per kg with 3 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  6. 6.A 45-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?
  7. 7.A grocer mixes 10 kg of tea at ₹94 per kg with 10 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  11. 11.A grocer mixes 2 kg of tea at ₹95 per kg with 4 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹69 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  13. 13.Rice at ₹34 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  14. 14.Rice at ₹47 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  15. 15.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A grocer mixes 3 kg of tea at ₹115 per kg with 7 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 3 kg of tea at ₹29 per kg with 5 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 6 kg of tea at ₹42 per kg with 10 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 10-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?
  21. 21.A grocer mixes 7 kg of tea at ₹65 per kg with 5 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  23. 23.Rice at ₹38 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.A 15-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?
  25. 25.A 32-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  26. 26.A grocer mixes 7 kg of tea at ₹95 per kg with 11 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.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?
  30. 30.A grocer mixes 4 kg of tea at ₹118 per kg with 4 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 11 kg of tea at ₹86 per kg with 11 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 36-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?
  33. 33.A 12-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?
  34. 34.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?
  35. 35.Rice at ₹31 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  36. 36.Rice at ₹70 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  37. 37.Rice at ₹59 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.Rice at ₹30 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  39. 39.Rice at ₹59 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  40. 40.A grocer mixes 4 kg of tea at ₹47 per kg with 12 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 30
  2. 59
  3. 10
  4. 115
  5. 4
  6. 36
  7. 83
  8. 50
  9. 10
  10. 30
  11. 87
  12. 5
  13. 32
  14. 18
  15. 40
  16. 50
  17. 59
  18. 64
  19. 32
  20. 6
  21. 80
  22. 6
  23. 3
  24. 3
  25. 8
  26. 73
  27. 70
  28. 50
  29. 50
  30. 84
  31. 85
  32. 16
  33. 12
  34. 80
  35. 8
  36. 32
  37. 12
  38. 6
  39. 6
  40. 95

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