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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 313 · 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 ₹68 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  2. 2.A 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  3. 3.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?
  4. 4.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A grocer mixes 7 kg of tea at ₹50 per kg with 7 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 4 kg of tea at ₹98 per kg with 10 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 5 kg of tea at ₹65 per kg with 4 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹57 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.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 5 : 6?
  10. 10.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?
  11. 11.A grocer mixes 3 kg of tea at ₹69 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹63 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  13. 13.A 80-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 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.Rice at ₹61 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  16. 16.A grocer mixes 10 kg of tea at ₹83 per kg with 10 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹57 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.A 12-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?
  19. 19.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?
  20. 20.A grocer mixes 3 kg of tea at ₹64 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹68 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  22. 22.Rice at ₹22 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  23. 23.Rice at ₹33 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.Rice at ₹30 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  25. 25.Rice at ₹50 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.A grocer mixes 7 kg of tea at ₹71 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 63-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?
  28. 28.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 : 9?
  29. 29.A grocer mixes 10 kg of tea at ₹88 per kg with 2 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 10 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?
  31. 31.A 24-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  32. 32.Rice at ₹30 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.A grocer mixes 3 kg of tea at ₹27 per kg with 3 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A grocer mixes 9 kg of tea at ₹60 per kg with 10 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  38. 38.A jug has 10 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?
  39. 39.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  40. 40.Rice at ₹58 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 15
  2. 6
  3. 50
  4. 64
  5. 61
  6. 78
  7. 77
  8. 12
  9. 15
  10. 60
  11. 89
  12. 4
  13. 20
  14. 50
  15. 14
  16. 53
  17. 1
  18. 4
  19. 50
  20. 47
  21. 12
  22. 40
  23. 20
  24. 2
  25. 2
  26. 77
  27. 18
  28. 12
  29. 81
  30. 75
  31. 12
  32. 1
  33. 34
  34. 60
  35. 25
  36. 70
  37. 10
  38. 40
  39. 12
  40. 20

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