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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 822 · 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 ₹33 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  2. 2.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?
  3. 3.Rice at ₹62 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.Rice at ₹45 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.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?
  6. 6.A jug has 20 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?
  7. 7.A 81-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  8. 8.A grocer mixes 3 kg of tea at ₹20 per kg with 6 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.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 2 : 3?
  11. 11.A grocer mixes 5 kg of tea at ₹101 per kg with 3 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.Rice at ₹22 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  14. 14.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A jug has 20 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?
  16. 16.Rice at ₹71 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  17. 17.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?
  18. 18.A grocer mixes 10 kg of tea at ₹105 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹66 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.A grocer mixes 2 kg of tea at ₹62 per kg with 8 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹53 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  22. 22.A 10-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?
  23. 23.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?
  24. 24.A grocer mixes 5 kg of tea at ₹28 per kg with 2 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 8 kg of tea at ₹23 per kg with 4 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  27. 27.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  28. 28.A grocer mixes 5 kg of tea at ₹54 per kg with 4 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 6 kg of tea at ₹73 per kg with 6 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹66 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  31. 31.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  32. 32.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?
  33. 33.Rice at ₹36 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  34. 34.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  35. 35.A 36-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?
  36. 36.Rice at ₹44 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  37. 37.A jug has 10 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?
  38. 38.A grocer mixes 3 kg of tea at ₹89 per kg with 7 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹27 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  40. 40.Rice at ₹75 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?

Answer key

  1. 32
  2. 75
  3. 30
  4. 8
  5. 25
  6. 60
  7. 9
  8. 86
  9. 50
  10. 20
  11. 83
  12. 60
  13. 32
  14. 50
  15. 55
  16. 9
  17. 50
  18. 89
  19. 12
  20. 50
  21. 14
  22. 4
  23. 16
  24. 42
  25. 48
  26. 28
  27. 20
  28. 42
  29. 69
  30. 15
  31. 36
  32. 20
  33. 20
  34. 16
  35. 6
  36. 32
  37. 55
  38. 75
  39. 12
  40. 32

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