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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 579 · 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 44-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  2. 2.A grocer mixes 12 kg of tea at ₹93 per kg with 9 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹63 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  4. 4.A grocer mixes 4 kg of tea at ₹68 per kg with 8 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 21-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  6. 6.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?
  7. 7.Rice at ₹74 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.A jug has 40 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?
  9. 9.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?
  10. 10.Rice at ₹25 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  11. 11.A grocer mixes 2 kg of tea at ₹115 per kg with 9 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 24-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?
  13. 13.A 25-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?
  14. 14.Rice at ₹73 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  15. 15.Rice at ₹77 per kg is mixed with rice at ₹95 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?
  16. 16.A grocer mixes 4 kg of tea at ₹94 per kg with 12 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A grocer mixes 11 kg of tea at ₹79 per kg with 3 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 10 kg of tea at ₹39 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹24 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.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?
  22. 22.A jug has 20 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?
  23. 23.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  24. 24.A grocer mixes 3 kg of tea at ₹78 per kg with 7 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹53 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  26. 26.Rice at ₹47 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.Rice at ₹61 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  28. 28.A 90-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  29. 29.Rice at ₹57 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.A grocer mixes 3 kg of tea at ₹36 per kg with 6 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  32. 32.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A grocer mixes 12 kg of tea at ₹29 per kg with 3 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A grocer mixes 12 kg of tea at ₹49 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 2 kg of tea at ₹109 per kg with 5 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.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?
  39. 39.Rice at ₹38 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.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 : 3?

Answer key

  1. 8
  2. 75
  3. 25
  4. 94
  5. 3
  6. 12
  7. 12
  8. 25
  9. 25
  10. 28
  11. 88
  12. 8
  13. 10
  14. 10
  15. 8
  16. 58
  17. 75
  18. 85
  19. 37
  20. 12
  21. 70
  22. 40
  23. 12
  24. 43
  25. 35
  26. 4
  27. 8
  28. 27
  29. 10
  30. 52
  31. 4
  32. 50
  33. 45
  34. 40
  35. 37
  36. 79
  37. 50
  38. 75
  39. 1
  40. 4

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