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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 120 · 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 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  2. 2.A grocer mixes 9 kg of tea at ₹99 per kg with 3 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  4. 4.Rice at ₹63 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.Rice at ₹27 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  6. 6.Rice at ₹55 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  7. 7.A jug has 20 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?
  8. 8.A grocer mixes 2 kg of tea at ₹93 per kg with 3 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 2 kg of tea at ₹52 per kg with 3 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 20 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?
  11. 11.Rice at ₹45 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  12. 12.A 24-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  13. 13.A grocer mixes 6 kg of tea at ₹118 per kg with 11 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  15. 15.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?
  16. 16.Rice at ₹61 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  17. 17.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?
  18. 18.Rice at ₹25 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A grocer mixes 10 kg of tea at ₹47 per kg with 6 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 27-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?
  21. 21.A jug has 40 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?
  22. 22.A 50-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?
  23. 23.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.Rice at ₹26 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.A 81-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?
  26. 26.A 56-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?
  27. 27.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.Rice at ₹65 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  31. 31.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.A 35-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?
  33. 33.Rice at ₹48 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.A jug has 40 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?
  35. 35.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 1 : 3?
  36. 36.A grocer mixes 11 kg of tea at ₹60 per kg with 11 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹25 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  38. 38.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  39. 39.Rice at ₹26 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  40. 40.A 108-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?

Answer key

  1. 20
  2. 85
  3. 4
  4. 12
  5. 4
  6. 6
  7. 52
  8. 90
  9. 76
  10. 60
  11. 21
  12. 8
  13. 107
  14. 8
  15. 20
  16. 2
  17. 60
  18. 18
  19. 38
  20. 27
  21. 40
  22. 20
  23. 50
  24. 15
  25. 9
  26. 14
  27. 6
  28. 80
  29. 9
  30. 8
  31. 20
  32. 5
  33. 12
  34. 28
  35. 8
  36. 46
  37. 32
  38. 16
  39. 10
  40. 9

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