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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 243 · 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 grocer mixes 3 kg of tea at ₹79 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹51 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.Rice at ₹75 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  4. 4.A grocer mixes 6 kg of tea at ₹24 per kg with 4 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹44 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  6. 6.Rice at ₹52 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 10 kg of the dearer rice?
  7. 7.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  8. 8.Rice at ₹30 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  9. 9.A grocer mixes 6 kg of tea at ₹34 per kg with 10 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  11. 11.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?
  12. 12.Rice at ₹65 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  13. 13.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.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?
  15. 15.A grocer mixes 6 kg of tea at ₹34 per kg with 8 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 64-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?
  17. 17.A grocer mixes 5 kg of tea at ₹95 per kg with 5 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  19. 19.Rice at ₹60 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.Rice at ₹42 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  21. 21.A jug has 10 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?
  22. 22.A grocer mixes 2 kg of tea at ₹113 per kg with 7 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹54 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 5 kg of the dearer rice?
  24. 24.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  25. 25.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  26. 26.Rice at ₹28 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  27. 27.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  28. 28.A grocer mixes 4 kg of tea at ₹36 per kg with 8 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  30. 30.Rice at ₹69 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  31. 31.A grocer mixes 10 kg of tea at ₹74 per kg with 3 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.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?
  34. 34.A grocer mixes 4 kg of tea at ₹33 per kg with 8 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 8 kg of tea at ₹27 per kg with 8 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹22 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  37. 37.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?
  38. 38.A grocer mixes 2 kg of tea at ₹116 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 2 kg of tea at ₹112 per kg with 5 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 91
  2. 20
  3. 30
  4. 54
  5. 18
  6. 4
  7. 12
  8. 5
  9. 49
  10. 3
  11. 50
  12. 6
  13. 50
  14. 36
  15. 54
  16. 16
  17. 104
  18. 15
  19. 3
  20. 16
  21. 68
  22. 92
  23. 3
  24. 4
  25. 20
  26. 4
  27. 9
  28. 50
  29. 8
  30. 10
  31. 80
  32. 25
  33. 50
  34. 51
  35. 51
  36. 4
  37. 70
  38. 86
  39. 52
  40. 60

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