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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 915 · 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 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?
  2. 2.Rice at ₹65 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  3. 3.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 : 3?
  4. 4.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A grocer mixes 10 kg of tea at ₹31 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  7. 7.A grocer mixes 2 kg of tea at ₹80 per kg with 12 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹53 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  10. 10.A jug has 40 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 jug has 40 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?
  12. 12.Rice at ₹74 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  13. 13.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 5 : 3?
  14. 14.A 42-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?
  15. 15.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 : 4?
  16. 16.Rice at ₹51 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  17. 17.Rice at ₹79 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.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?
  19. 19.Rice at ₹59 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A grocer mixes 11 kg of tea at ₹88 per kg with 6 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 49-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  22. 22.Rice at ₹45 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.A jug has 25 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?
  24. 24.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  25. 25.A grocer mixes 8 kg of tea at ₹115 per kg with 11 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹21 per kg is mixed with rice at ₹35 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?
  27. 27.A grocer mixes 7 kg of tea at ₹43 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 5 kg of tea at ₹60 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  30. 30.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  31. 31.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?
  32. 32.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?
  33. 33.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  34. 34.Rice at ₹49 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.Rice at ₹64 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.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?
  37. 37.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?
  38. 38.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  39. 39.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?
  40. 40.Rice at ₹50 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?

Answer key

  1. 50
  2. 24
  3. 3
  4. 36
  5. 45
  6. 20
  7. 38
  8. 75
  9. 7
  10. 25
  11. 20
  12. 20
  13. 6
  14. 6
  15. 3
  16. 7
  17. 8
  18. 50
  19. 8
  20. 64
  21. 28
  22. 10
  23. 50
  24. 10
  25. 104
  26. 20
  27. 37
  28. 80
  29. 5
  30. 8
  31. 60
  32. 10
  33. 9
  34. 15
  35. 6
  36. 50
  37. 52
  38. 8
  39. 75
  40. 4

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