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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 878 · 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 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  2. 2.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  3. 3.Rice at ₹54 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  4. 4.Rice at ₹35 per kg is mixed with rice at ₹45 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?
  5. 5.Rice at ₹60 per kg is mixed with rice at ₹81 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?
  6. 6.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?
  7. 7.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  8. 8.A grocer mixes 6 kg of tea at ₹80 per kg with 3 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  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 5 : 4?
  10. 10.Rice at ₹54 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  11. 11.Rice at ₹66 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.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?
  13. 13.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  14. 14.A grocer mixes 2 kg of tea at ₹29 per kg with 5 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  16. 16.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 : 5?
  17. 17.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  18. 18.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  19. 19.Rice at ₹30 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  20. 20.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  21. 21.Rice at ₹46 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A grocer mixes 2 kg of tea at ₹20 per kg with 7 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  25. 25.Rice at ₹60 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.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?
  27. 27.Rice at ₹70 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  28. 28.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A grocer mixes 3 kg of tea at ₹75 per kg with 2 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹30 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  31. 31.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 : 3?
  32. 32.Rice at ₹45 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 4 kg of the dearer rice?
  33. 33.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  34. 34.A jug has 20 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?
  35. 35.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  36. 36.A grocer mixes 11 kg of tea at ₹100 per kg with 11 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹90 per kg with 5 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹78 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.Rice at ₹37 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?

Answer key

  1. 10
  2. 21
  3. 8
  4. 24
  5. 6
  6. 50
  7. 16
  8. 78
  9. 18
  10. 3
  11. 8
  12. 64
  13. 12
  14. 84
  15. 20
  16. 10
  17. 18
  18. 7
  19. 40
  20. 10
  21. 10
  22. 90
  23. 60
  24. 24
  25. 15
  26. 60
  27. 42
  28. 50
  29. 91
  30. 5
  31. 6
  32. 5
  33. 20
  34. 40
  35. 15
  36. 74
  37. 55
  38. 12
  39. 10
  40. 20

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