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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 225 · 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 grocer mixes 3 kg of tea at ₹107 per kg with 3 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 56-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?
  3. 3.A grocer mixes 5 kg of tea at ₹118 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.Rice at ₹29 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  6. 6.Rice at ₹42 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.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?
  8. 8.Rice at ₹39 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.Rice at ₹71 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  10. 10.A jug has 10 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?
  11. 11.A grocer mixes 11 kg of tea at ₹104 per kg with 11 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.Rice at ₹33 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  14. 14.Rice at ₹48 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.A jug has 10 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?
  16. 16.Rice at ₹47 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.Rice at ₹42 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  18. 18.Rice at ₹30 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  19. 19.A jug has 40 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?
  20. 20.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?
  21. 21.A 28-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?
  22. 22.A grocer mixes 5 kg of tea at ₹72 per kg with 7 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  24. 24.A grocer mixes 12 kg of tea at ₹67 per kg with 6 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  27. 27.A 72-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.A 72-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  29. 29.A 12-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?
  30. 30.A grocer mixes 8 kg of tea at ₹96 per kg with 8 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.Rice at ₹49 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  33. 33.A grocer mixes 4 kg of tea at ₹105 per kg with 10 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹60 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 15 kg of the dearer rice?
  35. 35.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?
  36. 36.A grocer mixes 6 kg of tea at ₹101 per kg with 12 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.Rice at ₹32 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.Rice at ₹50 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.A 44-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?

Answer key

  1. 110
  2. 24
  3. 100
  4. 64
  5. 10
  6. 24
  7. 76
  8. 40
  9. 6
  10. 80
  11. 71
  12. 36
  13. 15
  14. 20
  15. 50
  16. 20
  17. 3
  18. 35
  19. 60
  20. 50
  21. 4
  22. 100
  23. 9
  24. 68
  25. 25
  26. 8
  27. 8
  28. 24
  29. 2
  30. 104
  31. 40
  32. 30
  33. 60
  34. 9
  35. 50
  36. 91
  37. 50
  38. 10
  39. 4
  40. 8

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