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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 388 · 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 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  2. 2.A grocer mixes 8 kg of tea at ₹27 per kg with 10 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹43 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.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?
  5. 5.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 4 : 11?
  6. 6.Rice at ₹32 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  7. 7.A 36-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?
  8. 8.Rice at ₹71 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  9. 9.A 9-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?
  10. 10.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 : 4?
  11. 11.A grocer mixes 3 kg of tea at ₹102 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A 21-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?
  14. 14.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?
  15. 15.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.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 3 : 2?
  17. 17.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  18. 18.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?
  19. 19.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  20. 20.A 72-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.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?
  22. 22.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  23. 23.Rice at ₹44 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.Rice at ₹25 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  25. 25.A grocer mixes 4 kg of tea at ₹119 per kg with 4 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 5 kg of tea at ₹117 per kg with 10 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  28. 28.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?
  29. 29.A 56-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  30. 30.A 14-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?
  31. 31.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  32. 32.A grocer mixes 3 kg of tea at ₹109 per kg with 3 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.Rice at ₹45 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  35. 35.A grocer mixes 6 kg of tea at ₹84 per kg with 4 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹39 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 5 kg of the dearer rice?
  37. 37.A grocer mixes 5 kg of tea at ₹80 per kg with 3 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 12 kg of tea at ₹77 per kg with 12 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.A grocer mixes 6 kg of tea at ₹88 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 3
  2. 42
  3. 4
  4. 36
  5. 16
  6. 20
  7. 12
  8. 24
  9. 9
  10. 7
  11. 71
  12. 55
  13. 6
  14. 64
  15. 50
  16. 18
  17. 3
  18. 50
  19. 21
  20. 8
  21. 60
  22. 40
  23. 5
  24. 5
  25. 104
  26. 55
  27. 28
  28. 28
  29. 8
  30. 2
  31. 8
  32. 111
  33. 36
  34. 2
  35. 82
  36. 25
  37. 89
  38. 78
  39. 70
  40. 86

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