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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 103 · 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 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  2. 2.Rice at ₹35 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.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?
  4. 4.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?
  5. 5.Rice at ₹74 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.A grocer mixes 3 kg of tea at ₹21 per kg with 5 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 90-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?
  8. 8.A 55-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?
  9. 9.Rice at ₹23 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  10. 10.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?
  11. 11.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?
  12. 12.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  13. 13.Rice at ₹21 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  14. 14.Rice at ₹66 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  15. 15.Rice at ₹65 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  16. 16.A jug has 10 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?
  17. 17.Rice at ₹42 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  18. 18.Rice at ₹63 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  19. 19.A grocer mixes 10 kg of tea at ₹72 per kg with 5 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹65 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  21. 21.Rice at ₹49 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.A 10-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?
  23. 23.Rice at ₹42 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  24. 24.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?
  25. 25.A grocer mixes 6 kg of tea at ₹49 per kg with 5 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹58 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.A 22-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?
  28. 28.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?
  29. 29.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?
  30. 30.Rice at ₹72 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  31. 31.A grocer mixes 10 kg of tea at ₹76 per kg with 10 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹61 per kg is mixed with rice at ₹149 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  33. 33.Rice at ₹55 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.Rice at ₹63 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  35. 35.A grocer mixes 2 kg of tea at ₹27 per kg with 6 kg of tea at ₹95 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. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹43 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.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 : 6?
  39. 39.A grocer mixes 4 kg of tea at ₹32 per kg with 5 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹60 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?

Answer key

  1. 4
  2. 10
  3. 75
  4. 50
  5. 20
  6. 26
  7. 20
  8. 5
  9. 1
  10. 50
  11. 4
  12. 3
  13. 21
  14. 4
  15. 3
  16. 70
  17. 7
  18. 14
  19. 64
  20. 30
  21. 16
  22. 4
  23. 3
  24. 28
  25. 64
  26. 30
  27. 2
  28. 64
  29. 36
  30. 5
  31. 71
  32. 20
  33. 12
  34. 3
  35. 78
  36. 40
  37. 40
  38. 4
  39. 72
  40. 4

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