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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 168 · 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 6-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 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A grocer mixes 3 kg of tea at ₹99 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  5. 5.Rice at ₹59 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  6. 6.Rice at ₹46 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.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?
  8. 8.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?
  9. 9.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?
  10. 10.A grocer mixes 10 kg of tea at ₹120 per kg with 10 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 2 kg of tea at ₹111 per kg with 2 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A grocer mixes 8 kg of tea at ₹86 per kg with 12 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 20-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?
  15. 15.A grocer mixes 5 kg of tea at ₹80 per kg with 5 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 3 kg of tea at ₹101 per kg with 3 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.A grocer mixes 4 kg of tea at ₹40 per kg with 7 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹72 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹120 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  20. 20.Rice at ₹59 per kg is mixed with rice at ₹75 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.Rice at ₹29 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  22. 22.A grocer mixes 3 kg of tea at ₹70 per kg with 9 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 40-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?
  24. 24.A grocer mixes 7 kg of tea at ₹119 per kg with 10 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  26. 26.A grocer mixes 4 kg of tea at ₹117 per kg with 4 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 12 kg of tea at ₹89 per kg with 12 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 9 kg of tea at ₹73 per kg with 10 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  30. 30.A jug has 10 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?
  31. 31.A 30-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?
  32. 32.Rice at ₹71 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.Rice at ₹66 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  34. 34.Rice at ₹34 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  35. 35.A jug has 40 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?
  36. 36.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?
  37. 37.A grocer mixes 3 kg of tea at ₹88 per kg with 6 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A grocer mixes 5 kg of tea at ₹26 per kg with 4 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 7 kg of tea at ₹30 per kg with 6 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 4
  2. 75
  3. 108
  4. 12
  5. 5
  6. 12
  7. 76
  8. 50
  9. 60
  10. 112
  11. 94
  12. 60
  13. 77
  14. 12
  15. 51
  16. 91
  17. 40
  18. 61
  19. 7
  20. 6
  21. 6
  22. 85
  23. 32
  24. 69
  25. 32
  26. 96
  27. 69
  28. 63
  29. 5
  30. 60
  31. 24
  32. 8
  33. 6
  34. 24
  35. 20
  36. 70
  37. 106
  38. 50
  39. 62
  40. 42

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