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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 665 · 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 ₹61 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.A jug has 20 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A grocer mixes 8 kg of tea at ₹58 per kg with 5 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.A grocer mixes 7 kg of tea at ₹69 per kg with 7 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹70 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  8. 8.A jug has 20 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?
  9. 9.Rice at ₹78 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  10. 10.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?
  11. 11.Rice at ₹64 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  12. 12.A jug has 10 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A grocer mixes 4 kg of tea at ₹78 per kg with 12 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 44-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?
  15. 15.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  16. 16.Rice at ₹26 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 3 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 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹71 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.Rice at ₹75 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.Rice at ₹30 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  22. 22.A grocer mixes 2 kg of tea at ₹109 per kg with 9 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.Rice at ₹61 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  25. 25.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  26. 26.Rice at ₹34 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  27. 27.A 50-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?
  28. 28.A jug has 20 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?
  29. 29.A jug has 50 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.Rice at ₹65 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  31. 31.A grocer mixes 3 kg of tea at ₹107 per kg with 3 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.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?
  34. 34.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  35. 35.Rice at ₹24 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 15 kg of the dearer rice?
  36. 36.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 : 5?
  37. 37.A grocer mixes 2 kg of tea at ₹96 per kg with 2 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹64 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  39. 39.Rice at ₹27 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  40. 40.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 2
  2. 60
  3. 78
  4. 25
  5. 70
  6. 18
  7. 27
  8. 55
  9. 24
  10. 40
  11. 12
  12. 70
  13. 51
  14. 4
  15. 18
  16. 9
  17. 28
  18. 25
  19. 15
  20. 2
  21. 4
  22. 64
  23. 75
  24. 3
  25. 7
  26. 8
  27. 30
  28. 70
  29. 50
  30. 8
  31. 91
  32. 76
  33. 50
  34. 21
  35. 6
  36. 24
  37. 86
  38. 3
  39. 16
  40. 80

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