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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 386 · 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 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?
  2. 2.A grocer mixes 8 kg of tea at ₹24 per kg with 4 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A grocer mixes 6 kg of tea at ₹59 per kg with 12 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹48 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  6. 6.Rice at ₹70 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  7. 7.Rice at ₹33 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.Rice at ₹79 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.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?
  10. 10.A 49-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?
  11. 11.Rice at ₹24 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  12. 12.A grocer mixes 7 kg of tea at ₹29 per kg with 7 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹64 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.A grocer mixes 4 kg of tea at ₹76 per kg with 8 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.A grocer mixes 2 kg of tea at ₹105 per kg with 2 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  18. 18.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?
  19. 19.A 90-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?
  20. 20.Rice at ₹60 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  21. 21.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  22. 22.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 7 kg of tea at ₹106 per kg with 2 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 6 kg of tea at ₹51 per kg with 4 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 4 kg of tea at ₹117 per kg with 6 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 4 kg of tea at ₹76 per kg with 8 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 27-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?
  28. 28.A jug has 40 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?
  29. 29.Rice at ₹34 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  30. 30.Rice at ₹59 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A grocer mixes 12 kg of tea at ₹66 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 8 kg of tea at ₹114 per kg with 8 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 8 kg of tea at ₹25 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹80 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  35. 35.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?
  36. 36.Rice at ₹34 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  37. 37.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  38. 38.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?
  39. 39.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?
  40. 40.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?

Answer key

  1. 28
  2. 36
  3. 25
  4. 33
  5. 24
  6. 12
  7. 4
  8. 25
  9. 64
  10. 28
  11. 28
  12. 61
  13. 6
  14. 98
  15. 60
  16. 68
  17. 32
  18. 50
  19. 20
  20. 6
  21. 27
  22. 50
  23. 108
  24. 63
  25. 66
  26. 46
  27. 6
  28. 40
  29. 30
  30. 15
  31. 69
  32. 99
  33. 49
  34. 25
  35. 25
  36. 4
  37. 8
  38. 36
  39. 75
  40. 8

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