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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 367 · 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.Rice at ₹47 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  2. 2.Rice at ₹22 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.A jug has 10 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?
  4. 4.A jug has 10 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?
  5. 5.Rice at ₹24 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  6. 6.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 12 kg of tea at ₹61 per kg with 9 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.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?
  10. 10.A grocer mixes 12 kg of tea at ₹95 per kg with 9 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  12. 12.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  13. 13.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  14. 14.A 10-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?
  15. 15.A 28-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?
  16. 16.A grocer mixes 4 kg of tea at ₹102 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 4 kg of tea at ₹111 per kg with 5 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 9 kg of tea at ₹106 per kg with 9 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 6 kg of tea at ₹69 per kg with 9 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 8 kg of tea at ₹31 per kg with 8 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  23. 23.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.Rice at ₹71 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  25. 25.Rice at ₹32 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  26. 26.A 42-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?
  27. 27.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 3 : 4?
  28. 28.A grocer mixes 2 kg of tea at ₹40 per kg with 11 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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 : 11?
  30. 30.A 42-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  31. 31.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 40 kg of the dearer rice?
  32. 32.Rice at ₹77 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹113 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  33. 33.A jug has 50 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?
  34. 34.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?
  35. 35.A jug has 40 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?
  36. 36.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 2 : 11?
  37. 37.A 10-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?
  38. 38.Rice at ₹24 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.A 15-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?
  40. 40.A 16-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?

Answer key

  1. 24
  2. 20
  3. 70
  4. 60
  5. 8
  6. 50
  7. 70
  8. 60
  9. 25
  10. 86
  11. 8
  12. 6
  13. 4
  14. 6
  15. 12
  16. 69
  17. 101
  18. 95
  19. 81
  20. 71
  21. 36
  22. 6
  23. 8
  24. 3
  25. 7
  26. 18
  27. 12
  28. 73
  29. 20
  30. 6
  31. 24
  32. 8
  33. 50
  34. 40
  35. 20
  36. 12
  37. 4
  38. 6
  39. 15
  40. 4

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