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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 511 · 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 ₹72 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.A jug has 20 litres of a drink that is 10% mango juice. 16 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 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A grocer mixes 3 kg of tea at ₹53 per kg with 8 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 4 kg of tea at ₹20 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 7 kg of tea at ₹89 per kg with 11 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A grocer mixes 11 kg of tea at ₹118 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 5 kg of tea at ₹115 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  14. 14.A grocer mixes 11 kg of tea at ₹77 per kg with 9 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 10 kg of tea at ₹76 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 4 kg of tea at ₹31 per kg with 5 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹30 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  18. 18.A 63-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?
  19. 19.Rice at ₹75 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  20. 20.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?
  21. 21.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?
  22. 22.A 44-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?
  23. 23.Rice at ₹34 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  24. 24.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 : 8?
  25. 25.A grocer mixes 6 kg of tea at ₹107 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  27. 27.Rice at ₹26 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  28. 28.A 22-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?
  29. 29.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?
  30. 30.A 40-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?
  31. 31.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  32. 32.A grocer mixes 6 kg of tea at ₹90 per kg with 8 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  34. 34.Rice at ₹26 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.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?
  36. 36.Rice at ₹75 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  37. 37.A grocer mixes 2 kg of tea at ₹107 per kg with 2 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A jug has 40 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?
  39. 39.Rice at ₹73 per kg is mixed with rice at ₹139 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.A 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?

Answer key

  1. 15
  2. 50
  3. 75
  4. 85
  5. 75
  6. 25
  7. 24
  8. 67
  9. 80
  10. 106
  11. 75
  12. 70
  13. 6
  14. 59
  15. 64
  16. 71
  17. 8
  18. 27
  19. 20
  20. 64
  21. 40
  22. 16
  23. 8
  24. 5
  25. 94
  26. 20
  27. 8
  28. 8
  29. 76
  30. 10
  31. 36
  32. 62
  33. 5
  34. 18
  35. 25
  36. 7
  37. 69
  38. 52
  39. 10
  40. 20

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