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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 411 · 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 21-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?
  2. 2.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?
  3. 3.Rice at ₹23 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  4. 4.Rice at ₹63 per kg is mixed with rice at ₹93 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?
  5. 5.A grocer mixes 10 kg of tea at ₹41 per kg with 12 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 36-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 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  8. 8.A grocer mixes 3 kg of tea at ₹30 per kg with 3 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A jug has 40 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?
  11. 11.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?
  12. 12.Rice at ₹66 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.Rice at ₹63 per kg is mixed with rice at ₹70 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?
  14. 14.A grocer mixes 7 kg of tea at ₹51 per kg with 7 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹62 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.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?
  18. 18.Rice at ₹69 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  19. 19.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?
  20. 20.A grocer mixes 2 kg of tea at ₹54 per kg with 6 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 10 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?
  22. 22.Rice at ₹20 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.A grocer mixes 3 kg of tea at ₹110 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 2 kg of tea at ₹45 per kg with 3 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 7 kg of tea at ₹92 per kg with 7 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  27. 27.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.A grocer mixes 11 kg of tea at ₹48 per kg with 9 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A jug has 10 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?
  30. 30.A jug has 20 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A grocer mixes 4 kg of tea at ₹32 per kg with 4 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 4 kg of tea at ₹113 per kg with 3 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  34. 34.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  35. 35.A grocer mixes 4 kg of tea at ₹88 per kg with 2 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹25 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  37. 37.A grocer mixes 5 kg of tea at ₹38 per kg with 11 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 8 kg of tea at ₹22 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 4 kg of tea at ₹71 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 2 kg of tea at ₹118 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 14
  2. 60
  3. 7
  4. 32
  5. 83
  6. 4
  7. 10
  8. 52
  9. 52
  10. 28
  11. 50
  12. 4
  13. 2
  14. 46
  15. 15
  16. 9
  17. 55
  18. 8
  19. 50
  20. 45
  21. 68
  22. 32
  23. 62
  24. 30
  25. 94
  26. 16
  27. 9
  28. 75
  29. 70
  30. 28
  31. 34
  32. 98
  33. 24
  34. 10
  35. 91
  36. 18
  37. 82
  38. 25
  39. 60
  40. 72

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