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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 972 · 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 ₹59 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  2. 2.Rice at ₹71 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.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 1 : 2?
  4. 4.Rice at ₹58 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.A grocer mixes 7 kg of tea at ₹114 per kg with 7 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.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 1 : 1?
  8. 8.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  9. 9.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 : 4?
  10. 10.A grocer mixes 8 kg of tea at ₹95 per kg with 7 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹27 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  12. 12.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?
  13. 13.A grocer mixes 8 kg of tea at ₹54 per kg with 5 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A 40-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?
  16. 16.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹26 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  19. 19.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  20. 20.A jug has 20 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?
  21. 21.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.Rice at ₹76 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  23. 23.Rice at ₹23 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  24. 24.Rice at ₹71 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  25. 25.A grocer mixes 6 kg of tea at ₹60 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹31 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  27. 27.A grocer mixes 3 kg of tea at ₹52 per kg with 7 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 3 kg of tea at ₹24 per kg with 3 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹23 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  30. 30.Rice at ₹62 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  31. 31.Rice at ₹35 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  32. 32.A grocer mixes 4 kg of tea at ₹63 per kg with 5 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A grocer mixes 7 kg of tea at ₹76 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹31 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  36. 36.Rice at ₹35 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  37. 37.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  38. 38.Rice at ₹21 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  39. 39.A grocer mixes 2 kg of tea at ₹72 per kg with 2 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹46 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?

Answer key

  1. 8
  2. 8
  3. 3
  4. 32
  5. 92
  6. 50
  7. 10
  8. 27
  9. 6
  10. 67
  11. 15
  12. 28
  13. 74
  14. 80
  15. 10
  16. 50
  17. 6
  18. 16
  19. 30
  20. 70
  21. 60
  22. 5
  23. 9
  24. 7
  25. 46
  26. 30
  27. 59
  28. 39
  29. 10
  30. 36
  31. 16
  32. 48
  33. 25
  34. 64
  35. 14
  36. 5
  37. 9
  38. 5
  39. 91
  40. 14

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