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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 265 · 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 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  2. 2.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?
  3. 3.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?
  4. 4.Rice at ₹58 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.A jug has 50 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?
  6. 6.Rice at ₹74 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  7. 7.Rice at ₹49 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.Rice at ₹24 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  9. 9.Rice at ₹42 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  10. 10.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?
  11. 11.Rice at ₹62 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.A grocer mixes 6 kg of tea at ₹103 per kg with 2 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A grocer mixes 2 kg of tea at ₹91 per kg with 4 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹71 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  16. 16.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  17. 17.A 88-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  18. 18.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?
  19. 19.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  20. 20.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.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 : 5?
  22. 22.Rice at ₹49 per kg is mixed with rice at ₹70 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?
  23. 23.A grocer mixes 2 kg of tea at ₹68 per kg with 3 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  25. 25.A 21-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  26. 26.A grocer mixes 3 kg of tea at ₹70 per kg with 6 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 3 kg of tea at ₹58 per kg with 3 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹22 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.Rice at ₹42 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  30. 30.Rice at ₹28 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  31. 31.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  32. 32.A 60-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  33. 33.A grocer mixes 8 kg of tea at ₹28 per kg with 2 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A 45-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?
  36. 36.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?
  37. 37.Rice at ₹26 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.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?
  39. 39.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?
  40. 40.A grocer mixes 12 kg of tea at ₹21 per kg with 5 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 7
  2. 60
  3. 52
  4. 24
  5. 50
  6. 6
  7. 6
  8. 6
  9. 5
  10. 25
  11. 10
  12. 95
  13. 60
  14. 67
  15. 12
  16. 10
  17. 24
  18. 36
  19. 5
  20. 68
  21. 12
  22. 6
  23. 65
  24. 8
  25. 9
  26. 90
  27. 45
  28. 24
  29. 40
  30. 30
  31. 3
  32. 12
  33. 38
  34. 6
  35. 27
  36. 50
  37. 12
  38. 70
  39. 75
  40. 41

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