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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 216 · 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 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?
  2. 2.Rice at ₹20 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  3. 3.A grocer mixes 9 kg of tea at ₹115 per kg with 9 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹75 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  5. 5.Rice at ₹71 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  6. 6.Rice at ₹71 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  7. 7.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹26 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  9. 9.A 24-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?
  10. 10.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  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.A grocer mixes 5 kg of tea at ₹45 per kg with 3 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  15. 15.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 : 5?
  16. 16.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?
  17. 17.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  18. 18.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?
  19. 19.A grocer mixes 3 kg of tea at ₹31 per kg with 8 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  22. 22.Rice at ₹28 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.Rice at ₹26 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  25. 25.A jug has 20 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?
  26. 26.A grocer mixes 2 kg of tea at ₹48 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹31 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  28. 28.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?
  29. 29.Rice at ₹35 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.Rice at ₹58 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  31. 31.A 90-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?
  32. 32.Rice at ₹58 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  33. 33.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  34. 34.A grocer mixes 2 kg of tea at ₹106 per kg with 12 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  36. 36.A 56-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?
  37. 37.Rice at ₹78 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  38. 38.Rice at ₹67 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.A grocer mixes 5 kg of tea at ₹106 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹75 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?

Answer key

  1. 60
  2. 3
  3. 96
  4. 4
  5. 48
  6. 5
  7. 50
  8. 18
  9. 6
  10. 25
  11. 50
  12. 69
  13. 70
  14. 32
  15. 21
  16. 25
  17. 6
  18. 40
  19. 63
  20. 80
  21. 18
  22. 10
  23. 2
  24. 10
  25. 28
  26. 46
  27. 2
  28. 28
  29. 10
  30. 15
  31. 20
  32. 12
  33. 4
  34. 76
  35. 5
  36. 8
  37. 40
  38. 12
  39. 104
  40. 14

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