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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 496 · 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.Rice at ₹44 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  2. 2.A grocer mixes 4 kg of tea at ₹89 per kg with 12 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  4. 4.A grocer mixes 6 kg of tea at ₹113 per kg with 12 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹43 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  7. 7.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 1 : 2?
  8. 8.Rice at ₹48 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  9. 9.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?
  10. 10.A grocer mixes 10 kg of tea at ₹59 per kg with 10 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  12. 12.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 : 2?
  13. 13.Rice at ₹53 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  14. 14.A grocer mixes 11 kg of tea at ₹114 per kg with 2 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 10-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  16. 16.Rice at ₹66 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  17. 17.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?
  18. 18.Rice at ₹62 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  20. 20.A grocer mixes 6 kg of tea at ₹69 per kg with 9 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  22. 22.A grocer mixes 8 kg of tea at ₹41 per kg with 2 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹60 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  25. 25.Rice at ₹79 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.A grocer mixes 6 kg of tea at ₹106 per kg with 2 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 3 kg of tea at ₹57 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹35 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  29. 29.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?
  30. 30.Rice at ₹36 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.A grocer mixes 2 kg of tea at ₹102 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹30 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  33. 33.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?
  34. 34.Rice at ₹67 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.A 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  36. 36.A grocer mixes 3 kg of tea at ₹30 per kg with 9 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 66-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?
  38. 38.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.Rice at ₹73 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  40. 40.A grocer mixes 2 kg of tea at ₹42 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 16
  2. 74
  3. 8
  4. 57
  5. 30
  6. 27
  7. 20
  8. 2
  9. 60
  10. 54
  11. 7
  12. 15
  13. 20
  14. 112
  15. 2
  16. 8
  17. 50
  18. 48
  19. 36
  20. 57
  21. 12
  22. 49
  23. 16
  24. 7
  25. 2
  26. 102
  27. 56
  28. 20
  29. 40
  30. 10
  31. 70
  32. 3
  33. 40
  34. 24
  35. 20
  36. 42
  37. 12
  38. 75
  39. 25
  40. 48

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