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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 40 · 40 questions
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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 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹68 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  3. 3.A grocer mixes 4 kg of tea at ₹105 per kg with 2 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A jug has 10 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?
  5. 5.A 8-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?
  6. 6.A grocer mixes 10 kg of tea at ₹71 per kg with 2 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹37 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.A 35-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?
  9. 9.A grocer mixes 8 kg of tea at ₹96 per kg with 12 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  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 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?
  12. 12.Rice at ₹20 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  13. 13.A jug has 25 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?
  14. 14.A grocer mixes 2 kg of tea at ₹29 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 4 kg of tea at ₹112 per kg with 8 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 40 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?
  17. 17.Rice at ₹77 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  18. 18.A grocer mixes 10 kg of tea at ₹33 per kg with 6 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A jug has 10 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?
  20. 20.A 22-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?
  21. 21.A grocer mixes 10 kg of tea at ₹78 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A jug has 10 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?
  23. 23.A jug has 40 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?
  24. 24.A 63-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  25. 25.A jug has 40 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?
  26. 26.A 35-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?
  27. 27.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?
  28. 28.A grocer mixes 8 kg of tea at ₹115 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  30. 30.Rice at ₹73 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  31. 31.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  32. 32.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?
  33. 33.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?
  34. 34.Rice at ₹39 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.Rice at ₹24 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.A grocer mixes 3 kg of tea at ₹69 per kg with 6 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 11 kg of tea at ₹87 per kg with 3 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.Rice at ₹20 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 52
  2. 2
  3. 90
  4. 70
  5. 2
  6. 64
  7. 2
  8. 5
  9. 84
  10. 25
  11. 40
  12. 20
  13. 50
  14. 63
  15. 104
  16. 25
  17. 3
  18. 48
  19. 40
  20. 4
  21. 76
  22. 75
  23. 20
  24. 9
  25. 60
  26. 15
  27. 25
  28. 103
  29. 15
  30. 8
  31. 36
  32. 64
  33. 75
  34. 15
  35. 40
  36. 65
  37. 75
  38. 70
  39. 25
  40. 50

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