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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 717 · 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 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 : 10?
  2. 2.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  3. 3.Rice at ₹37 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  6. 6.Rice at ₹65 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.Rice at ₹49 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.Rice at ₹64 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.A grocer mixes 12 kg of tea at ₹70 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 5 kg of tea at ₹40 per kg with 3 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹32 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.Rice at ₹52 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  13. 13.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?
  14. 14.Rice at ₹27 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.A grocer mixes 9 kg of tea at ₹97 per kg with 6 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 4 kg of tea at ₹52 per kg with 12 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹32 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  18. 18.Rice at ₹73 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A grocer mixes 9 kg of tea at ₹48 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 2 kg of tea at ₹112 per kg with 7 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 4 kg of tea at ₹50 per kg with 9 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹55 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  26. 26.A grocer mixes 6 kg of tea at ₹74 per kg with 5 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹67 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.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?
  29. 29.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹65 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  32. 32.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  33. 33.Rice at ₹27 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  34. 34.A jug has 20 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?
  35. 35.A 16-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?
  36. 36.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?
  37. 37.Rice at ₹68 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.A grocer mixes 6 kg of tea at ₹106 per kg with 6 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹63 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.A grocer mixes 12 kg of tea at ₹77 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 9
  2. 5
  3. 2
  4. 64
  5. 8
  6. 30
  7. 48
  8. 2
  9. 73
  10. 49
  11. 20
  12. 8
  13. 6
  14. 8
  15. 103
  16. 70
  17. 4
  18. 3
  19. 60
  20. 63
  21. 60
  22. 75
  23. 32
  24. 75
  25. 8
  26. 84
  27. 16
  28. 16
  29. 60
  30. 76
  31. 35
  32. 32
  33. 2
  34. 52
  35. 4
  36. 50
  37. 18
  38. 77
  39. 20
  40. 69

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