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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 595 · 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 grocer mixes 6 kg of tea at ₹108 per kg with 6 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A 39-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?
  4. 4.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?
  5. 5.A grocer mixes 9 kg of tea at ₹79 per kg with 9 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 5 kg of tea at ₹114 per kg with 3 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  8. 8.Rice at ₹46 per kg is mixed with rice at ₹70 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?
  9. 9.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 : 4?
  10. 10.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?
  11. 11.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?
  12. 12.A grocer mixes 2 kg of tea at ₹95 per kg with 2 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹53 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  14. 14.Rice at ₹52 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  15. 15.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?
  16. 16.A 18-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?
  17. 17.A 63-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  18. 18.Rice at ₹40 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  19. 19.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?
  20. 20.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?
  21. 21.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?
  22. 22.Rice at ₹47 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  23. 23.Rice at ₹44 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.Rice at ₹77 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  25. 25.A 27-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?
  26. 26.A grocer mixes 12 kg of tea at ₹59 per kg with 3 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 42-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?
  28. 28.Rice at ₹70 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.Rice at ₹65 per kg is mixed with rice at ₹89 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?
  30. 30.Rice at ₹21 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  31. 31.Rice at ₹30 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  32. 32.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?
  33. 33.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?
  34. 34.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?
  35. 35.Rice at ₹26 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  37. 37.A grocer mixes 6 kg of tea at ₹57 per kg with 6 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A jug has 25 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?
  39. 39.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 : 9?
  40. 40.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?

Answer key

  1. 91
  2. 50
  3. 12
  4. 75
  5. 55
  6. 111
  7. 12
  8. 7
  9. 6
  10. 28
  11. 75
  12. 92
  13. 15
  14. 12
  15. 28
  16. 6
  17. 7
  18. 24
  19. 50
  20. 50
  21. 80
  22. 18
  23. 1
  24. 36
  25. 3
  26. 61
  27. 7
  28. 1
  29. 6
  30. 4
  31. 40
  32. 40
  33. 40
  34. 60
  35. 20
  36. 6
  37. 46
  38. 50
  39. 27
  40. 6

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