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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 689 · 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 ₹73 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.A grocer mixes 3 kg of tea at ₹74 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 63-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?
  4. 4.A 99-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?
  5. 5.A grocer mixes 8 kg of tea at ₹72 per kg with 5 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.A grocer mixes 12 kg of tea at ₹85 per kg with 12 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.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?
  10. 10.Rice at ₹80 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.A grocer mixes 6 kg of tea at ₹41 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  13. 13.A 33-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?
  14. 14.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?
  15. 15.Rice at ₹23 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  16. 16.A 54-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  17. 17.A grocer mixes 7 kg of tea at ₹36 per kg with 11 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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 : 5?
  19. 19.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?
  20. 20.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?
  21. 21.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  22. 22.A grocer mixes 4 kg of tea at ₹44 per kg with 3 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 88-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?
  24. 24.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  25. 25.Rice at ₹75 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.A grocer mixes 3 kg of tea at ₹93 per kg with 6 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 66-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.A grocer mixes 6 kg of tea at ₹79 per kg with 6 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 3 kg of tea at ₹92 per kg with 8 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 10 kg of tea at ₹89 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  32. 32.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  33. 33.Rice at ₹53 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.Rice at ₹54 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.A grocer mixes 3 kg of tea at ₹33 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A jug has 40 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?
  37. 37.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A grocer mixes 11 kg of tea at ₹74 per kg with 4 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 4 kg of tea at ₹116 per kg with 4 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?

Answer key

  1. 3
  2. 52
  3. 27
  4. 18
  5. 82
  6. 70
  7. 69
  8. 50
  9. 60
  10. 20
  11. 45
  12. 15
  13. 12
  14. 25
  15. 10
  16. 18
  17. 80
  18. 8
  19. 60
  20. 40
  21. 6
  22. 68
  23. 32
  24. 2
  25. 6
  26. 59
  27. 18
  28. 54
  29. 108
  30. 71
  31. 28
  32. 3
  33. 9
  34. 5
  35. 67
  36. 60
  37. 60
  38. 62
  39. 107
  40. 12

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