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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 992 · 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 jug has 10 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?
  2. 2.Rice at ₹33 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.Rice at ₹26 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  4. 4.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  5. 5.Rice at ₹30 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  6. 6.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  7. 7.A 56-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?
  8. 8.A grocer mixes 4 kg of tea at ₹32 per kg with 6 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 6 kg of tea at ₹86 per kg with 6 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹31 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  12. 12.A 24-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?
  13. 13.A grocer mixes 4 kg of tea at ₹92 per kg with 8 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  15. 15.Rice at ₹56 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 4 kg of the dearer rice?
  16. 16.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?
  17. 17.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 3 : 4?
  18. 18.Rice at ₹57 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.Rice at ₹75 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.A grocer mixes 4 kg of tea at ₹59 per kg with 8 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹47 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.A 30-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  23. 23.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  24. 24.A jug has 20 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?
  25. 25.Rice at ₹52 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  26. 26.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  27. 27.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  28. 28.A grocer mixes 2 kg of tea at ₹32 per kg with 8 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹49 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  30. 30.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?
  31. 31.A jug has 40 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?
  32. 32.Rice at ₹68 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.Rice at ₹36 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  34. 34.Rice at ₹53 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.A grocer mixes 11 kg of tea at ₹113 per kg with 11 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A grocer mixes 4 kg of tea at ₹58 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹42 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  39. 39.Rice at ₹53 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 68
  2. 30
  3. 25
  4. 8
  5. 4
  6. 14
  7. 14
  8. 71
  9. 63
  10. 10
  11. 24
  12. 3
  13. 58
  14. 18
  15. 8
  16. 12
  17. 16
  18. 12
  19. 1
  20. 89
  21. 10
  22. 6
  23. 6
  24. 60
  25. 24
  26. 28
  27. 4
  28. 36
  29. 28
  30. 50
  31. 40
  32. 8
  33. 2
  34. 10
  35. 76
  36. 55
  37. 71
  38. 40
  39. 35
  40. 36

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