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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 999 · 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 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 3 kg of tea at ₹61 per kg with 5 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  4. 4.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?
  5. 5.A 55-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?
  6. 6.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 : 3?
  7. 7.A grocer mixes 4 kg of tea at ₹54 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹61 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  10. 10.A jug has 20 litres of a drink that is 20% mango juice. 12 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 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.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?
  13. 13.Rice at ₹38 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.Rice at ₹50 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  15. 15.A grocer mixes 3 kg of tea at ₹67 per kg with 3 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.Rice at ₹49 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  18. 18.Rice at ₹55 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.Rice at ₹62 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  20. 20.Rice at ₹70 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  21. 21.A jug has 20 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.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?
  23. 23.Rice at ₹69 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.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?
  25. 25.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 : 5?
  26. 26.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.A 12-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?
  28. 28.A 36-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?
  29. 29.A jug has 40 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.Rice at ₹27 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  31. 31.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  32. 32.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?
  33. 33.A grocer mixes 6 kg of tea at ₹67 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 10 kg of tea at ₹92 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  36. 36.Rice at ₹71 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.Rice at ₹43 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.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?
  39. 39.A 54-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?
  40. 40.A grocer mixes 7 kg of tea at ₹113 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 60
  2. 71
  3. 6
  4. 50
  5. 15
  6. 14
  7. 48
  8. 50
  9. 4
  10. 50
  11. 25
  12. 50
  13. 6
  14. 14
  15. 53
  16. 15
  17. 5
  18. 40
  19. 30
  20. 32
  21. 70
  22. 40
  23. 2
  24. 40
  25. 9
  26. 8
  27. 8
  28. 9
  29. 60
  30. 4
  31. 8
  32. 60
  33. 81
  34. 78
  35. 12
  36. 5
  37. 1
  38. 70
  39. 9
  40. 89

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