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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 186 · 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 ₹38 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.A jug has 20 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?
  3. 3.Rice at ₹35 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.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?
  5. 5.A grocer mixes 2 kg of tea at ₹46 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 2 kg of tea at ₹60 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A 16-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  10. 10.Rice at ₹59 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.Rice at ₹71 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A grocer mixes 4 kg of tea at ₹34 per kg with 8 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 20-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?
  15. 15.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  16. 16.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  17. 17.A grocer mixes 12 kg of tea at ₹33 per kg with 9 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.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?
  20. 20.Rice at ₹61 per kg is mixed with rice at ₹96 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?
  21. 21.A 42-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?
  22. 22.A grocer mixes 9 kg of tea at ₹102 per kg with 8 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹74 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  24. 24.Rice at ₹78 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  25. 25.A grocer mixes 12 kg of tea at ₹62 per kg with 6 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹25 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  27. 27.A 70-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?
  28. 28.A 21-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?
  29. 29.Rice at ₹74 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.Rice at ₹29 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 32 kg of the dearer rice?
  31. 31.Rice at ₹45 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  32. 32.Rice at ₹39 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.Rice at ₹47 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  34. 34.A 48-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?
  35. 35.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.Rice at ₹72 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  37. 37.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?
  38. 38.A 26-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  39. 39.A grocer mixes 11 kg of tea at ₹30 per kg with 11 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?

Answer key

  1. 20
  2. 40
  3. 2
  4. 25
  5. 34
  6. 48
  7. 50
  8. 4
  9. 4
  10. 5
  11. 2
  12. 25
  13. 74
  14. 10
  15. 10
  16. 14
  17. 57
  18. 18
  19. 50
  20. 25
  21. 18
  22. 78
  23. 30
  24. 25
  25. 80
  26. 36
  27. 30
  28. 9
  29. 2
  30. 40
  31. 8
  32. 16
  33. 14
  34. 12
  35. 2
  36. 24
  37. 70
  38. 4
  39. 27
  40. 4

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