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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 269 · 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 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  2. 2.A grocer mixes 4 kg of tea at ₹76 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹36 per kg is mixed with rice at ₹71 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?
  4. 4.A grocer mixes 8 kg of tea at ₹57 per kg with 4 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹39 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  6. 6.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?
  7. 7.Rice at ₹53 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  8. 8.Rice at ₹39 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  9. 9.A 22-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?
  10. 10.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A 32-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?
  12. 12.Rice at ₹72 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.Rice at ₹26 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.Rice at ₹34 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  15. 15.A grocer mixes 4 kg of tea at ₹65 per kg with 12 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 8 kg of tea at ₹32 per kg with 8 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 64-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?
  18. 18.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A 30-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.Rice at ₹47 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  21. 21.A grocer mixes 7 kg of tea at ₹21 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹40 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  23. 23.A 24-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?
  24. 24.A grocer mixes 10 kg of tea at ₹115 per kg with 10 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 64-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?
  26. 26.A grocer mixes 8 kg of tea at ₹36 per kg with 8 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  29. 29.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?
  30. 30.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  31. 31.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  32. 32.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?
  33. 33.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?
  34. 34.A grocer mixes 8 kg of tea at ₹71 per kg with 8 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹40 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  36. 36.A grocer mixes 10 kg of tea at ₹44 per kg with 5 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  38. 38.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?
  39. 39.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?
  40. 40.A grocer mixes 6 kg of tea at ₹41 per kg with 6 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 6
  2. 49
  3. 18
  4. 45
  5. 12
  6. 16
  7. 12
  8. 35
  9. 4
  10. 50
  11. 12
  12. 12
  13. 10
  14. 21
  15. 38
  16. 40
  17. 32
  18. 75
  19. 6
  20. 12
  21. 25
  22. 4
  23. 6
  24. 98
  25. 16
  26. 64
  27. 3
  28. 7
  29. 28
  30. 9
  31. 32
  32. 55
  33. 60
  34. 70
  35. 4
  36. 55
  37. 18
  38. 50
  39. 80
  40. 62

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