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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 569 · 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 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  3. 3.Rice at ₹40 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.Rice at ₹73 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  5. 5.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?
  6. 6.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?
  7. 7.A grocer mixes 7 kg of tea at ₹34 per kg with 7 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 6 kg of tea at ₹74 per kg with 3 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹31 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  10. 10.Rice at ₹36 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 9 kg of the dearer rice?
  11. 11.Rice at ₹26 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  12. 12.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?
  13. 13.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?
  14. 14.A grocer mixes 11 kg of tea at ₹69 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹73 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.Rice at ₹71 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  17. 17.A jug has 40 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?
  18. 18.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A grocer mixes 3 kg of tea at ₹54 per kg with 3 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹60 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  21. 21.Rice at ₹53 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  22. 22.A grocer mixes 4 kg of tea at ₹22 per kg with 12 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹73 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  24. 24.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  25. 25.A grocer mixes 3 kg of tea at ₹42 per kg with 11 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 3 kg of tea at ₹53 per kg with 8 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹53 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  29. 29.Rice at ₹25 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹36 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.Rice at ₹73 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  34. 34.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  35. 35.Rice at ₹20 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.A grocer mixes 3 kg of tea at ₹81 per kg with 3 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹56 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  38. 38.Rice at ₹31 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.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?
  40. 40.A 21-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?

Answer key

  1. 25
  2. 6
  3. 4
  4. 6
  5. 75
  6. 28
  7. 36
  8. 67
  9. 4
  10. 6
  11. 35
  12. 60
  13. 70
  14. 57
  15. 4
  16. 16
  17. 20
  18. 40
  19. 63
  20. 40
  21. 4
  22. 82
  23. 24
  24. 16
  25. 53
  26. 93
  27. 2
  28. 24
  29. 8
  30. 75
  31. 1
  32. 16
  33. 8
  34. 21
  35. 5
  36. 74
  37. 6
  38. 2
  39. 64
  40. 12

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