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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 997 · 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 40 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?
  2. 2.Rice at ₹32 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  3. 3.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.A grocer mixes 10 kg of tea at ₹101 per kg with 2 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 20 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?
  6. 6.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?
  7. 7.A grocer mixes 2 kg of tea at ₹79 per kg with 9 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  10. 10.Rice at ₹80 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  12. 12.A grocer mixes 6 kg of tea at ₹35 per kg with 2 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  14. 14.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  15. 15.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 : 6?
  16. 16.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  17. 17.A grocer mixes 9 kg of tea at ₹107 per kg with 9 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.A grocer mixes 2 kg of tea at ₹46 per kg with 8 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 36-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?
  21. 21.A grocer mixes 3 kg of tea at ₹88 per kg with 2 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹75 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.A grocer mixes 3 kg of tea at ₹116 per kg with 12 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹72 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  26. 26.A jug has 50 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?
  27. 27.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?
  28. 28.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.Rice at ₹68 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  30. 30.A grocer mixes 4 kg of tea at ₹86 per kg with 8 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 8 kg of tea at ₹24 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 9 kg of tea at ₹40 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 4 kg of tea at ₹63 per kg with 4 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹32 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.A grocer mixes 12 kg of tea at ₹81 per kg with 12 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹53 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  37. 37.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 : 4?
  38. 38.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?
  39. 39.A 72-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?
  40. 40.A grocer mixes 4 kg of tea at ₹83 per kg with 12 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 40
  2. 10
  3. 2
  4. 97
  5. 40
  6. 70
  7. 97
  8. 76
  9. 24
  10. 30
  11. 27
  12. 32
  13. 6
  14. 12
  15. 14
  16. 28
  17. 80
  18. 18
  19. 38
  20. 4
  21. 76
  22. 16
  23. 64
  24. 10
  25. 9
  26. 50
  27. 20
  28. 36
  29. 21
  30. 66
  31. 39
  32. 50
  33. 43
  34. 16
  35. 86
  36. 25
  37. 10
  38. 40
  39. 18
  40. 92

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