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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 34 · 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.Rice at ₹44 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  2. 2.A grocer mixes 5 kg of tea at ₹39 per kg with 10 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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 6 : 5?
  4. 4.A grocer mixes 10 kg of tea at ₹74 per kg with 6 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 6 kg of tea at ₹47 per kg with 2 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 10 kg of tea at ₹119 per kg with 10 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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 1 : 2?
  9. 9.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  10. 10.Rice at ₹36 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  11. 11.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A jug has 40 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?
  13. 13.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?
  14. 14.A jug has 10 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?
  15. 15.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  16. 16.A grocer mixes 9 kg of tea at ₹85 per kg with 9 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹72 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.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?
  19. 19.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  20. 20.Rice at ₹34 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.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 : 7?
  22. 22.A 35-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  23. 23.A grocer mixes 12 kg of tea at ₹97 per kg with 6 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 12 kg of tea at ₹66 per kg with 4 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 24-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  26. 26.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  27. 27.Rice at ₹75 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  28. 28.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?
  29. 29.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?
  30. 30.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  31. 31.A grocer mixes 11 kg of tea at ₹38 per kg with 10 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹53 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.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?
  34. 34.Rice at ₹58 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  35. 35.A grocer mixes 2 kg of tea at ₹31 per kg with 6 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 6 kg of tea at ₹26 per kg with 8 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹58 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  38. 38.Rice at ₹56 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 8 kg of the dearer rice?
  39. 39.A 21-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?
  40. 40.Rice at ₹61 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 21
  2. 65
  3. 24
  4. 80
  5. 53
  6. 50
  7. 110
  8. 9
  9. 32
  10. 8
  11. 60
  12. 20
  13. 36
  14. 50
  15. 8
  16. 80
  17. 30
  18. 80
  19. 14
  20. 2
  21. 12
  22. 20
  23. 87
  24. 64
  25. 12
  26. 2
  27. 8
  28. 4
  29. 52
  30. 30
  31. 68
  32. 3
  33. 75
  34. 32
  35. 52
  36. 34
  37. 20
  38. 2
  39. 6
  40. 18

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