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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 373 · 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 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?
  2. 2.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  3. 3.A grocer mixes 4 kg of tea at ₹116 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 35-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?
  5. 5.A grocer mixes 12 kg of tea at ₹30 per kg with 12 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹74 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  7. 7.Rice at ₹71 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  8. 8.A grocer mixes 3 kg of tea at ₹45 per kg with 9 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹36 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  10. 10.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 : 4?
  11. 11.A grocer mixes 12 kg of tea at ₹86 per kg with 6 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹34 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  13. 13.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?
  14. 14.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.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?
  16. 16.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?
  17. 17.A 40-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?
  18. 18.Rice at ₹66 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.A grocer mixes 6 kg of tea at ₹104 per kg with 8 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 3 kg of tea at ₹116 per kg with 8 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 7 kg of tea at ₹105 per kg with 7 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 2 kg of tea at ₹57 per kg with 4 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  24. 24.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?
  25. 25.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?
  26. 26.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?
  27. 27.Rice at ₹37 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  28. 28.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?
  29. 29.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  30. 30.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  31. 31.Rice at ₹21 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  33. 33.Rice at ₹70 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.Rice at ₹42 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.A 15-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?
  36. 36.Rice at ₹75 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  37. 37.Rice at ₹52 per kg is mixed with rice at ₹76 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?
  38. 38.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  39. 39.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 4 : 9?
  40. 40.A 21-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?

Answer key

  1. 64
  2. 24
  3. 68
  4. 21
  5. 42
  6. 5
  7. 3
  8. 84
  9. 32
  10. 20
  11. 75
  12. 12
  13. 55
  14. 36
  15. 25
  16. 60
  17. 15
  18. 24
  19. 108
  20. 60
  21. 107
  22. 47
  23. 30
  24. 75
  25. 20
  26. 18
  27. 28
  28. 50
  29. 32
  30. 24
  31. 5
  32. 4
  33. 25
  34. 9
  35. 10
  36. 16
  37. 8
  38. 8
  39. 10
  40. 3

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