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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 204 · 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 ₹37 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.A jug has 25 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?
  3. 3.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 1 : 2?
  4. 4.Rice at ₹60 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  5. 5.Rice at ₹62 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  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 8 kg of tea at ₹54 per kg with 4 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹29 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  9. 9.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.A grocer mixes 3 kg of tea at ₹40 per kg with 3 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  12. 12.Rice at ₹44 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  13. 13.A grocer mixes 4 kg of tea at ₹112 per kg with 4 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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 : 9?
  15. 15.Rice at ₹79 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹121 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.Rice at ₹24 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  17. 17.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?
  18. 18.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A grocer mixes 6 kg of tea at ₹28 per kg with 6 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  21. 21.A jug has 10 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?
  22. 22.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  23. 23.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?
  24. 24.Rice at ₹40 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  25. 25.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  26. 26.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?
  27. 27.Rice at ₹70 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  28. 28.Rice at ₹35 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  30. 30.Rice at ₹71 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A 35-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?
  32. 32.A jug has 10 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?
  33. 33.Rice at ₹24 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.A grocer mixes 3 kg of tea at ₹90 per kg with 10 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 3 kg of tea at ₹119 per kg with 3 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  37. 37.A grocer mixes 8 kg of tea at ₹110 per kg with 5 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 63-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?
  39. 39.A grocer mixes 2 kg of tea at ₹30 per kg with 4 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 6
  2. 50
  3. 9
  4. 8
  5. 21
  6. 28
  7. 58
  8. 15
  9. 9
  10. 34
  11. 5
  12. 5
  13. 113
  14. 10
  15. 1
  16. 40
  17. 28
  18. 50
  19. 31
  20. 18
  21. 50
  22. 16
  23. 60
  24. 6
  25. 4
  26. 25
  27. 9
  28. 12
  29. 3
  30. 18
  31. 15
  32. 80
  33. 2
  34. 40
  35. 99
  36. 9
  37. 80
  38. 36
  39. 82
  40. 25

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