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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 429 · 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 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  2. 2.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?
  3. 3.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  4. 4.A grocer mixes 2 kg of tea at ₹62 per kg with 12 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 4 kg of tea at ₹29 per kg with 8 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.A grocer mixes 9 kg of tea at ₹38 per kg with 9 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  9. 9.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?
  10. 10.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.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?
  12. 12.A grocer mixes 2 kg of tea at ₹75 per kg with 3 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹35 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  14. 14.Rice at ₹33 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  15. 15.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  16. 16.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A grocer mixes 2 kg of tea at ₹83 per kg with 6 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 4 kg of tea at ₹108 per kg with 7 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.Rice at ₹54 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.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?
  22. 22.A grocer mixes 6 kg of tea at ₹58 per kg with 6 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 4 kg of tea at ₹109 per kg with 4 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 7 kg of tea at ₹78 per kg with 4 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  26. 26.A 14-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 ₹23 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.Rice at ₹58 per kg is mixed with rice at ₹146 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  29. 29.Rice at ₹56 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  30. 30.Rice at ₹25 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  32. 32.Rice at ₹67 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  33. 33.Rice at ₹55 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  34. 34.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 : 6?
  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.A grocer mixes 9 kg of tea at ₹69 per kg with 9 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 12 kg of tea at ₹77 per kg with 6 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.Rice at ₹20 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.Rice at ₹57 per kg is mixed with rice at ₹111 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?

Answer key

  1. 8
  2. 25
  3. 28
  4. 104
  5. 67
  6. 55
  7. 47
  8. 6
  9. 50
  10. 24
  11. 36
  12. 72
  13. 15
  14. 4
  15. 6
  16. 60
  17. 59
  18. 52
  19. 70
  20. 8
  21. 28
  22. 75
  23. 110
  24. 82
  25. 24
  26. 4
  27. 3
  28. 35
  29. 21
  30. 4
  31. 20
  32. 35
  33. 3
  34. 12
  35. 50
  36. 93
  37. 63
  38. 52
  39. 15
  40. 8

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