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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 439 · 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.Rice at ₹70 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  2. 2.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 2 : 1?
  3. 3.A grocer mixes 7 kg of tea at ₹31 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 8 kg of tea at ₹96 per kg with 8 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 52-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  6. 6.A grocer mixes 12 kg of tea at ₹101 per kg with 5 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  9. 9.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  10. 10.Rice at ₹42 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.Rice at ₹69 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  12. 12.A grocer mixes 3 kg of tea at ₹24 per kg with 11 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 12 kg of tea at ₹86 per kg with 12 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.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?
  16. 16.A grocer mixes 12 kg of tea at ₹107 per kg with 6 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.A grocer mixes 4 kg of tea at ₹72 per kg with 10 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  20. 20.Rice at ₹69 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  21. 21.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  22. 22.A grocer mixes 4 kg of tea at ₹28 per kg with 2 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹75 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.A grocer mixes 10 kg of tea at ₹24 per kg with 9 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 35-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  26. 26.Rice at ₹24 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.Rice at ₹67 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.A grocer mixes 4 kg of tea at ₹89 per kg with 12 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.Rice at ₹69 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  31. 31.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹21 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  33. 33.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  34. 34.Rice at ₹53 per kg is mixed with rice at ₹74 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?
  35. 35.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?
  36. 36.A grocer mixes 3 kg of tea at ₹60 per kg with 6 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 10 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?
  38. 38.A grocer mixes 12 kg of tea at ₹99 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  40. 40.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?

Answer key

  1. 6
  2. 10
  3. 55
  4. 83
  5. 12
  6. 81
  7. 68
  8. 6
  9. 16
  10. 5
  11. 6
  12. 90
  13. 100
  14. 70
  15. 28
  16. 99
  17. 20
  18. 42
  19. 9
  20. 24
  21. 30
  22. 27
  23. 5
  24. 60
  25. 15
  26. 36
  27. 24
  28. 80
  29. 25
  30. 4
  31. 36
  32. 14
  33. 20
  34. 2
  35. 50
  36. 84
  37. 50
  38. 102
  39. 8
  40. 6

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