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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 16 · 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 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 2 kg of tea at ₹93 per kg with 2 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  4. 4.Rice at ₹47 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  5. 5.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?
  6. 6.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  7. 7.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 : 8?
  8. 8.Rice at ₹43 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  9. 9.Rice at ₹32 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  10. 10.A 24-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?
  11. 11.Rice at ₹24 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  12. 12.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?
  13. 13.Rice at ₹65 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.A grocer mixes 12 kg of tea at ₹82 per kg with 12 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  17. 17.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 1 : 1?
  18. 18.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?
  19. 19.A jug has 10 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?
  20. 20.A grocer mixes 7 kg of tea at ₹100 per kg with 7 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 8 kg of tea at ₹26 per kg with 2 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹31 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  23. 23.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  24. 24.Rice at ₹50 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  25. 25.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?
  26. 26.A 16-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?
  27. 27.Rice at ₹61 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  28. 28.A grocer mixes 6 kg of tea at ₹44 per kg with 6 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  30. 30.A grocer mixes 3 kg of tea at ₹100 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹61 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  32. 32.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  33. 33.A grocer mixes 4 kg of tea at ₹96 per kg with 6 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  35. 35.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?
  36. 36.A grocer mixes 12 kg of tea at ₹83 per kg with 3 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹57 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?
  38. 38.A jug has 10 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?
  39. 39.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?
  40. 40.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?

Answer key

  1. 75
  2. 62
  3. 36
  4. 5
  5. 70
  6. 9
  7. 9
  8. 24
  9. 21
  10. 4
  11. 24
  12. 50
  13. 6
  14. 61
  15. 50
  16. 32
  17. 36
  18. 25
  19. 60
  20. 78
  21. 44
  22. 3
  23. 8
  24. 20
  25. 60
  26. 4
  27. 6
  28. 63
  29. 6
  30. 70
  31. 4
  32. 40
  33. 99
  34. 4
  35. 28
  36. 74
  37. 15
  38. 55
  39. 60
  40. 8

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