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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 376 · 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.Rice at ₹70 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  2. 2.A grocer mixes 8 kg of tea at ₹106 per kg with 8 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹76 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  4. 4.A grocer mixes 2 kg of tea at ₹69 per kg with 2 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 2 kg of tea at ₹77 per kg with 2 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 20 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?
  7. 7.A grocer mixes 8 kg of tea at ₹34 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.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 : 3?
  10. 10.Rice at ₹45 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  12. 12.A grocer mixes 12 kg of tea at ₹89 per kg with 4 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.Rice at ₹36 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  15. 15.A grocer mixes 9 kg of tea at ₹41 per kg with 3 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 44-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  17. 17.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  18. 18.A 42-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  19. 19.Rice at ₹77 per kg is mixed with rice at ₹149 per kg to make a mix worth ₹117 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  20. 20.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 : 5?
  21. 21.Rice at ₹21 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  23. 23.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?
  24. 24.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?
  25. 25.A grocer mixes 12 kg of tea at ₹92 per kg with 6 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.Rice at ₹34 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  28. 28.A jug has 50 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?
  29. 29.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  30. 30.A 63-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?
  31. 31.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  32. 32.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?
  33. 33.A 24-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?
  34. 34.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?
  35. 35.Rice at ₹78 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.Rice at ₹37 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  37. 37.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?
  38. 38.A grocer mixes 2 kg of tea at ₹118 per kg with 4 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹26 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  40. 40.A 10-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?

Answer key

  1. 6
  2. 65
  3. 15
  4. 59
  5. 95
  6. 55
  7. 85
  8. 52
  9. 18
  10. 12
  11. 12
  12. 85
  13. 28
  14. 1
  15. 57
  16. 4
  17. 21
  18. 12
  19. 24
  20. 6
  21. 6
  22. 6
  23. 50
  24. 60
  25. 79
  26. 70
  27. 32
  28. 25
  29. 4
  30. 36
  31. 15
  32. 36
  33. 12
  34. 68
  35. 12
  36. 10
  37. 64
  38. 92
  39. 6
  40. 4

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