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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 953 · 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 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 : 8?
  2. 2.A jug has 20 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?
  3. 3.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 : 3?
  4. 4.Rice at ₹27 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.A jug has 20 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?
  6. 6.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?
  7. 7.Rice at ₹37 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.A grocer mixes 4 kg of tea at ₹78 per kg with 2 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹34 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  10. 10.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 : 5?
  11. 11.A 104-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?
  12. 12.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 1 : 3?
  13. 13.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.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?
  15. 15.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?
  16. 16.A grocer mixes 7 kg of tea at ₹50 per kg with 7 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 11 kg of tea at ₹60 per kg with 11 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 7 kg of tea at ₹102 per kg with 7 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 40-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A grocer mixes 3 kg of tea at ₹43 per kg with 3 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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 : 3?
  22. 22.Rice at ₹78 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  23. 23.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A jug has 20 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?
  25. 25.Rice at ₹37 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  26. 26.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  27. 27.Rice at ₹71 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  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.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 7 : 6?
  30. 30.A 81-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?
  31. 31.Rice at ₹20 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  32. 32.Rice at ₹46 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  33. 33.A grocer mixes 11 kg of tea at ₹91 per kg with 11 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹39 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  35. 35.Rice at ₹36 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  36. 36.A grocer mixes 5 kg of tea at ₹59 per kg with 5 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 10 kg of tea at ₹99 per kg with 2 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A grocer mixes 7 kg of tea at ₹22 per kg with 7 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹58 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?

Answer key

  1. 4
  2. 52
  3. 3
  4. 32
  5. 55
  6. 40
  7. 4
  8. 66
  9. 28
  10. 12
  11. 32
  12. 3
  13. 12
  14. 50
  15. 60
  16. 43
  17. 80
  18. 79
  19. 10
  20. 56
  21. 4
  22. 6
  23. 9
  24. 28
  25. 24
  26. 18
  27. 24
  28. 36
  29. 3
  30. 9
  31. 5
  32. 4
  33. 92
  34. 21
  35. 28
  36. 83
  37. 96
  38. 75
  39. 29
  40. 12

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