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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 365 · 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 ₹38 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.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?
  3. 3.Rice at ₹67 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  4. 4.Rice at ₹66 per kg is mixed with rice at ₹80 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?
  5. 5.A 30-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?
  6. 6.Rice at ₹52 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  7. 7.A grocer mixes 7 kg of tea at ₹61 per kg with 7 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹30 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  9. 9.Rice at ₹43 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  11. 11.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 : 7?
  12. 12.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?
  13. 13.Rice at ₹68 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  14. 14.A 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  15. 15.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  16. 16.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  17. 17.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?
  18. 18.Rice at ₹25 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.Rice at ₹80 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  20. 20.A 63-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?
  21. 21.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  22. 22.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  23. 23.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?
  24. 24.Rice at ₹78 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  25. 25.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?
  26. 26.A jug has 40 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?
  27. 27.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 : 4?
  28. 28.A grocer mixes 3 kg of tea at ₹65 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 2 kg of tea at ₹82 per kg with 4 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 3 kg of tea at ₹54 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  33. 33.A grocer mixes 5 kg of tea at ₹43 per kg with 10 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.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?
  36. 36.Rice at ₹75 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  37. 37.A grocer mixes 9 kg of tea at ₹61 per kg with 8 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹31 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  40. 40.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?

Answer key

  1. 2
  2. 80
  3. 3
  4. 4
  5. 10
  6. 21
  7. 48
  8. 14
  9. 6
  10. 24
  11. 18
  12. 75
  13. 21
  14. 24
  15. 12
  16. 3
  17. 50
  18. 4
  19. 18
  20. 14
  21. 10
  22. 36
  23. 36
  24. 7
  25. 50
  26. 40
  27. 18
  28. 47
  29. 102
  30. 84
  31. 70
  32. 16
  33. 71
  34. 25
  35. 24
  36. 5
  37. 45
  38. 15
  39. 30
  40. 64

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