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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 882 · 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 36-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?
  2. 2.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?
  3. 3.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 1 : 1?
  4. 4.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?
  5. 5.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?
  6. 6.A grocer mixes 4 kg of tea at ₹63 per kg with 12 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A jug has 10 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?
  8. 8.A 42-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?
  9. 9.Rice at ₹35 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  10. 10.A grocer mixes 3 kg of tea at ₹55 per kg with 3 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 45-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  12. 12.A grocer mixes 6 kg of tea at ₹89 per kg with 9 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.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?
  15. 15.A grocer mixes 12 kg of tea at ₹59 per kg with 8 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 7 kg of tea at ₹68 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 3 kg of tea at ₹82 per kg with 2 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 4 kg of tea at ₹105 per kg with 2 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.Rice at ₹36 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  22. 22.Rice at ₹32 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  23. 23.Rice at ₹65 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  24. 24.A jug has 10 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?
  25. 25.Rice at ₹78 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  26. 26.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 : 9?
  27. 27.Rice at ₹45 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  29. 29.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?
  30. 30.Rice at ₹21 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  31. 31.A grocer mixes 6 kg of tea at ₹67 per kg with 9 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 3 kg of tea at ₹79 per kg with 3 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 60-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?
  34. 34.A jug has 40 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?
  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.A grocer mixes 3 kg of tea at ₹73 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹73 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  38. 38.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.A grocer mixes 8 kg of tea at ₹51 per kg with 9 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹38 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?

Answer key

  1. 3
  2. 50
  3. 30
  4. 64
  5. 25
  6. 93
  7. 60
  8. 28
  9. 20
  10. 47
  11. 10
  12. 83
  13. 25
  14. 50
  15. 49
  16. 74
  17. 94
  18. 81
  19. 25
  20. 1
  21. 12
  22. 2
  23. 35
  24. 40
  25. 24
  26. 18
  27. 15
  28. 8
  29. 75
  30. 10
  31. 46
  32. 95
  33. 20
  34. 60
  35. 36
  36. 55
  37. 18
  38. 10
  39. 87
  40. 15

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