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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 316 · 40 questions
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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. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  3. 3.Rice at ₹55 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  4. 4.A 27-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?
  5. 5.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  6. 6.A grocer mixes 7 kg of tea at ₹92 per kg with 3 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 11 kg of tea at ₹88 per kg with 12 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 6 kg of tea at ₹29 per kg with 9 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  10. 10.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?
  11. 11.A grocer mixes 10 kg of tea at ₹83 per kg with 7 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 6 kg of tea at ₹61 per kg with 3 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹78 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  14. 14.Rice at ₹48 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  15. 15.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?
  16. 16.A 21-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?
  17. 17.Rice at ₹55 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.A 80-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?
  19. 19.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?
  20. 20.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?
  21. 21.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?
  22. 22.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 : 4?
  23. 23.A grocer mixes 6 kg of tea at ₹108 per kg with 6 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 10 kg of tea at ₹95 per kg with 2 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 56-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  26. 26.A grocer mixes 10 kg of tea at ₹31 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.Rice at ₹77 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.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?
  30. 30.A 63-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?
  31. 31.A grocer mixes 6 kg of tea at ₹116 per kg with 2 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 12 kg of tea at ₹74 per kg with 12 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  34. 34.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?
  35. 35.A grocer mixes 6 kg of tea at ₹68 per kg with 12 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 36-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?
  37. 37.A jug has 20 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?
  38. 38.A grocer mixes 4 kg of tea at ₹43 per kg with 4 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹64 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  40. 40.A 70-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?

Answer key

  1. 80
  2. 9
  3. 25
  4. 6
  5. 40
  6. 83
  7. 100
  8. 59
  9. 21
  10. 52
  11. 97
  12. 64
  13. 21
  14. 28
  15. 60
  16. 6
  17. 16
  18. 20
  19. 68
  20. 64
  21. 70
  22. 6
  23. 111
  24. 94
  25. 32
  26. 49
  27. 36
  28. 5
  29. 50
  30. 9
  31. 109
  32. 70
  33. 20
  34. 28
  35. 48
  36. 8
  37. 50
  38. 69
  39. 6
  40. 30

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