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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 460 · 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 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?
  2. 2.A grocer mixes 6 kg of tea at ₹56 per kg with 8 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹20 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  5. 5.A grocer mixes 7 kg of tea at ₹29 per kg with 11 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹62 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  7. 7.A 81-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  8. 8.Rice at ₹28 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  9. 9.A grocer mixes 2 kg of tea at ₹48 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹29 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  12. 12.A 60-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  13. 13.A jug has 10 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?
  14. 14.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  15. 15.Rice at ₹33 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.Rice at ₹32 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  17. 17.A grocer mixes 5 kg of tea at ₹71 per kg with 5 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹49 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  19. 19.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  20. 20.A jug has 50 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?
  21. 21.Rice at ₹67 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.Rice at ₹50 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.Rice at ₹57 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  24. 24.A grocer mixes 2 kg of tea at ₹78 per kg with 8 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 3 kg of tea at ₹56 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 40-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 grocer mixes 12 kg of tea at ₹27 per kg with 2 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹72 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  30. 30.A jug has 40 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?
  31. 31.Rice at ₹73 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.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 : 8?
  33. 33.A 40-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  34. 34.Rice at ₹37 per kg is mixed with rice at ₹44 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?
  35. 35.A grocer mixes 6 kg of tea at ₹119 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.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?
  38. 38.A grocer mixes 2 kg of tea at ₹56 per kg with 8 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  40. 40.A 12-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?

Answer key

  1. 50
  2. 60
  3. 6
  4. 16
  5. 40
  6. 6
  7. 18
  8. 8
  9. 68
  10. 2
  11. 12
  12. 6
  13. 55
  14. 9
  15. 20
  16. 3
  17. 56
  18. 12
  19. 10
  20. 25
  21. 5
  22. 40
  23. 6
  24. 50
  25. 40
  26. 48
  27. 32
  28. 38
  29. 14
  30. 52
  31. 18
  32. 28
  33. 4
  34. 1
  35. 113
  36. 70
  37. 28
  38. 68
  39. 9
  40. 16

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