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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 315 · 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 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?
  2. 2.A grocer mixes 8 kg of tea at ₹115 per kg with 12 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹31 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.Rice at ₹37 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.Rice at ₹43 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.A 24-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?
  7. 7.Rice at ₹26 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.Rice at ₹23 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  9. 9.Rice at ₹50 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  10. 10.A 26-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?
  11. 11.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?
  12. 12.A grocer mixes 11 kg of tea at ₹54 per kg with 10 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹55 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  14. 14.Rice at ₹67 per kg is mixed with rice at ₹79 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?
  15. 15.A grocer mixes 11 kg of tea at ₹83 per kg with 7 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 3 kg of tea at ₹77 per kg with 2 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹43 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  18. 18.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  19. 19.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  20. 20.Rice at ₹44 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  21. 21.Rice at ₹60 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 21 kg of the dearer rice?
  22. 22.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?
  23. 23.A 55-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  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.Rice at ₹35 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  27. 27.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?
  28. 28.Rice at ₹66 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  29. 29.A grocer mixes 3 kg of tea at ₹100 per kg with 6 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹31 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  31. 31.Rice at ₹56 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  32. 32.A 63-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  33. 33.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  34. 34.Rice at ₹78 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.A grocer mixes 11 kg of tea at ₹56 per kg with 3 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 12 kg of tea at ₹20 per kg with 6 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹35 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.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 : 1?
  39. 39.Rice at ₹26 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  40. 40.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 36
  2. 106
  3. 15
  4. 9
  5. 40
  6. 6
  7. 1
  8. 8
  9. 4
  10. 8
  11. 28
  12. 44
  13. 6
  14. 16
  15. 69
  16. 55
  17. 8
  18. 6
  19. 36
  20. 15
  21. 28
  22. 50
  23. 10
  24. 50
  25. 6
  26. 12
  27. 20
  28. 24
  29. 110
  30. 7
  31. 4
  32. 9
  33. 8
  34. 12
  35. 53
  36. 38
  37. 12
  38. 8
  39. 24
  40. 40

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