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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 796 · 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 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  2. 2.A jug has 40 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?
  3. 3.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  4. 4.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?
  5. 5.Rice at ₹77 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.Rice at ₹69 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  7. 7.A grocer mixes 4 kg of tea at ₹54 per kg with 5 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  9. 9.Rice at ₹64 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 2 kg of the dearer rice?
  10. 10.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?
  11. 11.A grocer mixes 5 kg of tea at ₹57 per kg with 11 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  13. 13.A grocer mixes 12 kg of tea at ₹111 per kg with 12 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 2 kg of tea at ₹22 per kg with 4 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 11 kg of tea at ₹89 per kg with 7 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 50-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?
  17. 17.Rice at ₹55 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.A jug has 10 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?
  19. 19.A grocer mixes 9 kg of tea at ₹119 per kg with 2 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹67 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.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?
  22. 22.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  23. 23.Rice at ₹29 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.Rice at ₹24 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.Rice at ₹48 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.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 1 : 1?
  27. 27.Rice at ₹34 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  28. 28.A grocer mixes 7 kg of tea at ₹98 per kg with 7 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 2 kg of tea at ₹90 per kg with 10 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A grocer mixes 5 kg of tea at ₹44 per kg with 5 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  34. 34.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  35. 35.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.Rice at ₹79 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.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 : 8?
  38. 38.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?
  39. 39.Rice at ₹72 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.A grocer mixes 4 kg of tea at ₹102 per kg with 4 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 36
  2. 28
  3. 16
  4. 40
  5. 6
  6. 24
  7. 49
  8. 4
  9. 6
  10. 75
  11. 90
  12. 2
  13. 101
  14. 52
  15. 82
  16. 15
  17. 10
  18. 80
  19. 101
  20. 1
  21. 28
  22. 12
  23. 25
  24. 10
  25. 18
  26. 3
  27. 40
  28. 72
  29. 50
  30. 50
  31. 50
  32. 25
  33. 6
  34. 6
  35. 50
  36. 2
  37. 9
  38. 60
  39. 4
  40. 79

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