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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 348 · 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 ₹51 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 2 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 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  4. 4.Rice at ₹72 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.A grocer mixes 12 kg of tea at ₹64 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 25 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?
  7. 7.Rice at ₹66 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  8. 8.Rice at ₹61 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  9. 9.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A 15-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?
  11. 11.Rice at ₹50 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.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 : 3?
  13. 13.A grocer mixes 6 kg of tea at ₹48 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 4 kg of tea at ₹34 per kg with 11 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 11 kg of tea at ₹22 per kg with 10 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹46 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  17. 17.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  18. 18.Rice at ₹63 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  19. 19.A grocer mixes 8 kg of tea at ₹105 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  21. 21.A grocer mixes 4 kg of tea at ₹57 per kg with 4 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹57 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  23. 23.Rice at ₹79 per kg is mixed with rice at ₹151 per kg to make a mix worth ₹119 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  24. 24.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?
  25. 25.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.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?
  27. 27.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?
  28. 28.A grocer mixes 12 kg of tea at ₹60 per kg with 12 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 44-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  30. 30.A grocer mixes 9 kg of tea at ₹20 per kg with 9 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 12 kg of tea at ₹86 per kg with 12 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  33. 33.A grocer mixes 4 kg of tea at ₹21 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 72-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?
  35. 35.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?
  36. 36.Rice at ₹78 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.Rice at ₹47 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  38. 38.A 117-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?
  39. 39.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?
  40. 40.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?

Answer key

  1. 4
  2. 70
  3. 16
  4. 3
  5. 52
  6. 50
  7. 20
  8. 1
  9. 36
  10. 5
  11. 3
  12. 3
  13. 60
  14. 89
  15. 62
  16. 1
  17. 36
  18. 8
  19. 100
  20. 9
  21. 78
  22. 8
  23. 20
  24. 50
  25. 50
  26. 76
  27. 50
  28. 48
  29. 16
  30. 36
  31. 67
  32. 2
  33. 34
  34. 9
  35. 50
  36. 18
  37. 2
  38. 27
  39. 16
  40. 64

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