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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 848 · 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 grocer mixes 8 kg of tea at ₹31 per kg with 8 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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 1 : 4?
  3. 3.Rice at ₹27 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  4. 4.Rice at ₹67 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  6. 6.A 99-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.Rice at ₹49 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 7 kg of the dearer rice?
  8. 8.Rice at ₹33 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 6 kg of the dearer rice?
  9. 9.A 63-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?
  10. 10.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  11. 11.A grocer mixes 9 kg of tea at ₹76 per kg with 9 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹40 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  13. 13.Rice at ₹36 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  14. 14.Rice at ₹42 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  15. 15.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?
  16. 16.Rice at ₹30 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  17. 17.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?
  18. 18.A grocer mixes 4 kg of tea at ₹70 per kg with 11 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹76 per kg is mixed with rice at ₹140 per kg to make a mix worth ₹116 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  20. 20.A 35-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?
  21. 21.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?
  22. 22.A grocer mixes 2 kg of tea at ₹118 per kg with 2 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 2 kg of tea at ₹54 per kg with 2 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹72 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  26. 26.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  27. 27.A grocer mixes 8 kg of tea at ₹38 per kg with 9 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹34 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  29. 29.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  30. 30.Rice at ₹28 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  31. 31.Rice at ₹60 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  32. 32.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  33. 33.A grocer mixes 6 kg of tea at ₹93 per kg with 10 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 2 kg of tea at ₹33 per kg with 4 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹73 per kg is mixed with rice at ₹139 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.A grocer mixes 5 kg of tea at ₹33 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.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?
  39. 39.A grocer mixes 10 kg of tea at ₹28 per kg with 5 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 24-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?

Answer key

  1. 43
  2. 21
  3. 35
  4. 8
  5. 28
  6. 9
  7. 35
  8. 2
  9. 27
  10. 4
  11. 86
  12. 4
  13. 7
  14. 20
  15. 70
  16. 8
  17. 16
  18. 48
  19. 15
  20. 21
  21. 28
  22. 93
  23. 83
  24. 75
  25. 20
  26. 12
  27. 74
  28. 2
  29. 3
  30. 28
  31. 15
  32. 36
  33. 103
  34. 51
  35. 6
  36. 35
  37. 60
  38. 64
  39. 40
  40. 18

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