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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 489 · 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 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 11 kg of tea at ₹120 per kg with 2 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹42 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.Rice at ₹68 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  5. 5.Rice at ₹23 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  6. 6.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  7. 7.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?
  8. 8.A 35-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?
  9. 9.A grocer mixes 4 kg of tea at ₹23 per kg with 3 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.Rice at ₹33 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.A grocer mixes 4 kg of tea at ₹87 per kg with 5 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 40-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  14. 14.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?
  15. 15.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  16. 16.A grocer mixes 5 kg of tea at ₹114 per kg with 10 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹49 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  18. 18.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  19. 19.Rice at ₹38 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A grocer mixes 10 kg of tea at ₹104 per kg with 5 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹78 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  22. 22.Rice at ₹36 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.Rice at ₹48 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  24. 24.A grocer mixes 2 kg of tea at ₹86 per kg with 2 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A jug has 40 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?
  27. 27.A grocer mixes 10 kg of tea at ₹114 per kg with 10 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 7 kg of tea at ₹75 per kg with 5 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹31 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.A grocer mixes 7 kg of tea at ₹55 per kg with 3 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 28-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  32. 32.Rice at ₹62 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  33. 33.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?
  34. 34.Rice at ₹54 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.Rice at ₹42 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  36. 36.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  37. 37.Rice at ₹55 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  38. 38.A grocer mixes 4 kg of tea at ₹45 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 50 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?
  40. 40.A grocer mixes 4 kg of tea at ₹48 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 70
  2. 108
  3. 12
  4. 21
  5. 12
  6. 9
  7. 80
  8. 21
  9. 44
  10. 60
  11. 6
  12. 102
  13. 24
  14. 50
  15. 16
  16. 82
  17. 8
  18. 12
  19. 30
  20. 88
  21. 40
  22. 3
  23. 6
  24. 57
  25. 28
  26. 52
  27. 70
  28. 70
  29. 4
  30. 61
  31. 7
  32. 5
  33. 40
  34. 8
  35. 9
  36. 4
  37. 28
  38. 54
  39. 25
  40. 56

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