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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 483 · 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 jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹47 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  3. 3.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  5. 5.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?
  6. 6.A grocer mixes 6 kg of tea at ₹90 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A grocer mixes 10 kg of tea at ₹62 per kg with 5 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹54 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  10. 10.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?
  11. 11.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  12. 12.A grocer mixes 6 kg of tea at ₹54 per kg with 7 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 3 kg of tea at ₹27 per kg with 3 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  16. 16.Rice at ₹73 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  17. 17.A 60-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?
  18. 18.A 35-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?
  19. 19.Rice at ₹78 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.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 3 : 1?
  21. 21.A grocer mixes 11 kg of tea at ₹111 per kg with 11 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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 : 3?
  23. 23.Rice at ₹60 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 15 kg of the dearer rice?
  24. 24.A 77-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  25. 25.A 6-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?
  26. 26.A jug has 10 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?
  27. 27.Rice at ₹56 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  28. 28.A grocer mixes 5 kg of tea at ₹43 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A grocer mixes 3 kg of tea at ₹25 per kg with 6 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 2 kg of tea at ₹93 per kg with 2 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 12 kg of tea at ₹78 per kg with 8 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  34. 34.Rice at ₹46 per kg is mixed with rice at ₹64 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?
  35. 35.A grocer mixes 8 kg of tea at ₹47 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  38. 38.Rice at ₹57 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.A grocer mixes 5 kg of tea at ₹30 per kg with 10 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?

Answer key

  1. 25
  2. 20
  3. 36
  4. 28
  5. 50
  6. 96
  7. 55
  8. 72
  9. 6
  10. 36
  11. 28
  12. 75
  13. 58
  14. 28
  15. 18
  16. 32
  17. 15
  18. 10
  19. 5
  20. 6
  21. 77
  22. 5
  23. 5
  24. 21
  25. 6
  26. 60
  27. 7
  28. 31
  29. 75
  30. 67
  31. 102
  32. 74
  33. 28
  34. 3
  35. 44
  36. 50
  37. 5
  38. 8
  39. 56
  40. 30

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