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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 586 · 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 52-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?
  2. 2.A grocer mixes 6 kg of tea at ₹46 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.Rice at ₹24 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  5. 5.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?
  6. 6.Rice at ₹68 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.A grocer mixes 6 kg of tea at ₹39 per kg with 2 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹58 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  9. 9.Rice at ₹61 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  10. 10.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?
  11. 11.A 14-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?
  12. 12.Rice at ₹23 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  13. 13.Rice at ₹50 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  14. 14.A grocer mixes 12 kg of tea at ₹52 per kg with 6 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 12 kg of tea at ₹46 per kg with 5 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 7 kg of tea at ₹45 per kg with 7 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.A grocer mixes 6 kg of tea at ₹68 per kg with 12 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 6 kg of tea at ₹36 per kg with 12 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹34 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?
  21. 21.Rice at ₹76 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.Rice at ₹20 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  23. 23.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  24. 24.Rice at ₹45 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  25. 25.Rice at ₹65 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  26. 26.Rice at ₹66 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.A grocer mixes 12 kg of tea at ₹33 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹49 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  29. 29.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  30. 30.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  31. 31.Rice at ₹32 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.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 : 3?
  33. 33.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?
  34. 34.A grocer mixes 3 kg of tea at ₹68 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 9 kg of tea at ₹74 per kg with 9 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹71 per kg is mixed with rice at ₹85 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?
  37. 37.Rice at ₹21 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  38. 38.A 20-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?
  39. 39.Rice at ₹36 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 16
  2. 41
  3. 50
  4. 6
  5. 25
  6. 3
  7. 44
  8. 21
  9. 7
  10. 16
  11. 2
  12. 24
  13. 18
  14. 50
  15. 56
  16. 34
  17. 70
  18. 92
  19. 66
  20. 3
  21. 2
  22. 28
  23. 40
  24. 8
  25. 2
  26. 3
  27. 29
  28. 48
  29. 4
  30. 8
  31. 8
  32. 10
  33. 50
  34. 54
  35. 51
  36. 18
  37. 20
  38. 16
  39. 9
  40. 60

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