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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 616 · 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.A 81-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  2. 2.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  3. 3.Rice at ₹59 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  4. 4.A 100-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?
  5. 5.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  6. 6.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 7 : 5?
  7. 7.A grocer mixes 7 kg of tea at ₹31 per kg with 5 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 42-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?
  9. 9.Rice at ₹36 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.Rice at ₹50 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  11. 11.A 22-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?
  12. 12.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  13. 13.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  14. 14.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?
  15. 15.Rice at ₹77 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.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?
  17. 17.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A 56-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?
  19. 19.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  20. 20.Rice at ₹60 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  22. 22.Rice at ₹51 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹75 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 ₹119 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹68 per kg is mixed with rice at ₹131 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.A 24-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?
  26. 26.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.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?
  28. 28.Rice at ₹22 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  29. 29.Rice at ₹41 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  30. 30.A grocer mixes 2 kg of tea at ₹55 per kg with 7 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹73 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.A 80-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?
  33. 33.A jug has 25 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A grocer mixes 2 kg of tea at ₹77 per kg with 2 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹51 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  36. 36.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹25 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 2 kg of the dearer rice?
  38. 38.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?
  39. 39.Rice at ₹65 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.A grocer mixes 2 kg of tea at ₹59 per kg with 2 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 9
  2. 27
  3. 24
  4. 30
  5. 4
  6. 6
  7. 36
  8. 12
  9. 30
  10. 35
  11. 8
  12. 3
  13. 20
  14. 40
  15. 24
  16. 50
  17. 75
  18. 32
  19. 32
  20. 8
  21. 12
  22. 16
  23. 73
  24. 5
  25. 8
  26. 80
  27. 55
  28. 15
  29. 3
  30. 48
  31. 1
  32. 20
  33. 50
  34. 59
  35. 5
  36. 40
  37. 4
  38. 50
  39. 3
  40. 43

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