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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 119 · 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 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?
  2. 2.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A grocer mixes 2 kg of tea at ₹27 per kg with 3 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹24 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  5. 5.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?
  6. 6.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?
  7. 7.A grocer mixes 6 kg of tea at ₹46 per kg with 2 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 72-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  9. 9.Rice at ₹58 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  10. 10.A 60-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  11. 11.Rice at ₹68 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  12. 12.A grocer mixes 6 kg of tea at ₹117 per kg with 12 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹48 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  14. 14.A grocer mixes 12 kg of tea at ₹110 per kg with 6 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  16. 16.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?
  17. 17.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 : 9?
  18. 18.Rice at ₹51 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  19. 19.Rice at ₹28 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.A grocer mixes 3 kg of tea at ₹76 per kg with 4 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 33-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  22. 22.A grocer mixes 10 kg of tea at ₹47 per kg with 4 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  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 grocer mixes 5 kg of tea at ₹94 per kg with 5 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 6 kg of tea at ₹47 per kg with 6 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.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?
  29. 29.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  30. 30.A grocer mixes 2 kg of tea at ₹85 per kg with 10 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 12 kg of tea at ₹44 per kg with 7 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹51 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 35 kg of the dearer rice?
  33. 33.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?
  34. 34.A 50-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?
  35. 35.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.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?
  37. 37.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  38. 38.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?
  39. 39.A grocer mixes 9 kg of tea at ₹65 per kg with 9 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?

Answer key

  1. 5
  2. 60
  3. 63
  4. 12
  5. 28
  6. 76
  7. 50
  8. 6
  9. 30
  10. 18
  11. 12
  12. 67
  13. 8
  14. 93
  15. 40
  16. 50
  17. 4
  18. 12
  19. 6
  20. 52
  21. 9
  22. 59
  23. 9
  24. 50
  25. 82
  26. 66
  27. 50
  28. 80
  29. 18
  30. 50
  31. 37
  32. 7
  33. 50
  34. 5
  35. 50
  36. 28
  37. 20
  38. 50
  39. 81
  40. 24

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