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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 623 · 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 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  2. 2.A grocer mixes 6 kg of tea at ₹47 per kg with 12 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 27-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?
  4. 4.Rice at ₹59 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  5. 5.A 91-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  6. 6.A grocer mixes 4 kg of tea at ₹28 per kg with 4 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹58 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.A grocer mixes 5 kg of tea at ₹113 per kg with 8 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 12 kg of tea at ₹43 per kg with 6 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.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?
  12. 12.Rice at ₹47 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  13. 13.Rice at ₹73 per kg is mixed with rice at ₹161 per kg to make a mix worth ₹121 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  14. 14.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A 18-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?
  17. 17.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A grocer mixes 10 kg of tea at ₹60 per kg with 11 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  20. 20.A grocer mixes 6 kg of tea at ₹48 per kg with 12 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  22. 22.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?
  23. 23.A grocer mixes 4 kg of tea at ₹97 per kg with 12 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 4 kg of tea at ₹64 per kg with 4 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 11 kg of tea at ₹26 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹49 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  27. 27.A grocer mixes 3 kg of tea at ₹49 per kg with 4 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  29. 29.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  30. 30.Rice at ₹31 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  31. 31.A jug has 10 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?
  32. 32.Rice at ₹47 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.A 72-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?
  34. 34.Rice at ₹60 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  35. 35.Rice at ₹56 per kg is mixed with rice at ₹74 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?
  36. 36.A grocer mixes 7 kg of tea at ₹103 per kg with 7 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.A grocer mixes 8 kg of tea at ₹60 per kg with 12 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 35-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  40. 40.Rice at ₹70 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 15
  2. 39
  3. 3
  4. 6
  5. 28
  6. 39
  7. 4
  8. 105
  9. 56
  10. 50
  11. 80
  12. 9
  13. 15
  14. 50
  15. 25
  16. 8
  17. 50
  18. 82
  19. 15
  20. 32
  21. 20
  22. 28
  23. 61
  24. 78
  25. 38
  26. 7
  27. 33
  28. 12
  29. 10
  30. 32
  31. 40
  32. 10
  33. 18
  34. 8
  35. 7
  36. 92
  37. 50
  38. 78
  39. 20
  40. 10

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