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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 513 · 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.Rice at ₹53 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.A 16-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  3. 3.A 77-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?
  4. 4.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?
  5. 5.A grocer mixes 2 kg of tea at ₹83 per kg with 11 kg of tea at ₹31 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. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 6 kg of tea at ₹44 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 12 kg of tea at ₹36 per kg with 8 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  10. 10.Rice at ₹65 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  12. 12.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 : 10?
  13. 13.A grocer mixes 9 kg of tea at ₹109 per kg with 3 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 40 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?
  15. 15.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A grocer mixes 2 kg of tea at ₹57 per kg with 10 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 10 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?
  18. 18.A grocer mixes 4 kg of tea at ₹26 per kg with 7 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  20. 20.A grocer mixes 7 kg of tea at ₹30 per kg with 4 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  22. 22.A 6-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 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?
  24. 24.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?
  25. 25.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?
  26. 26.Rice at ₹61 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  27. 27.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?
  28. 28.A grocer mixes 3 kg of tea at ₹110 per kg with 9 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 8-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?
  30. 30.A grocer mixes 10 kg of tea at ₹39 per kg with 2 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹72 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  32. 32.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.Rice at ₹75 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  34. 34.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?
  35. 35.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?
  36. 36.Rice at ₹53 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.Rice at ₹37 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  38. 38.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?
  39. 39.Rice at ₹36 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  40. 40.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 28 kg of the dearer rice?

Answer key

  1. 12
  2. 6
  3. 21
  4. 70
  5. 39
  6. 40
  7. 64
  8. 66
  9. 32
  10. 6
  11. 7
  12. 20
  13. 101
  14. 28
  15. 80
  16. 92
  17. 70
  18. 61
  19. 4
  20. 58
  21. 24
  22. 4
  23. 60
  24. 50
  25. 55
  26. 32
  27. 75
  28. 98
  29. 2
  30. 52
  31. 4
  32. 25
  33. 42
  34. 52
  35. 36
  36. 16
  37. 21
  38. 68
  39. 1
  40. 21

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