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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 497 · 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 ₹30 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.A grocer mixes 9 kg of tea at ₹61 per kg with 9 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹36 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 5 kg of the dearer rice?
  4. 4.Rice at ₹47 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  5. 5.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A grocer mixes 9 kg of tea at ₹50 per kg with 3 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹29 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  8. 8.A grocer mixes 9 kg of tea at ₹31 per kg with 9 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹46 per kg is mixed with rice at ₹58 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?
  10. 10.Rice at ₹78 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  12. 12.Rice at ₹51 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  14. 14.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?
  15. 15.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  17. 17.A grocer mixes 4 kg of tea at ₹26 per kg with 11 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.A grocer mixes 3 kg of tea at ₹81 per kg with 6 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 4 kg of tea at ₹43 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  22. 22.Rice at ₹54 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  23. 23.A 35-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?
  24. 24.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?
  25. 25.Rice at ₹49 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  26. 26.A 90-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  27. 27.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.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 : 7?
  29. 29.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?
  30. 30.Rice at ₹69 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  31. 31.A grocer mixes 8 kg of tea at ₹24 per kg with 10 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹62 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  33. 33.A jug has 10 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?
  34. 34.Rice at ₹42 per kg is mixed with rice at ₹57 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?
  35. 35.A 63-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?
  36. 36.Rice at ₹23 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  37. 37.A grocer mixes 3 kg of tea at ₹61 per kg with 3 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 10 kg of tea at ₹62 per kg with 5 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 4 kg of tea at ₹36 per kg with 4 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 4
  2. 60
  3. 2
  4. 24
  5. 50
  6. 57
  7. 6
  8. 39
  9. 3
  10. 10
  11. 28
  12. 40
  13. 8
  14. 28
  15. 5
  16. 36
  17. 59
  18. 32
  19. 41
  20. 44
  21. 4
  22. 24
  23. 28
  24. 52
  25. 35
  26. 9
  27. 50
  28. 6
  29. 52
  30. 24
  31. 64
  32. 3
  33. 40
  34. 6
  35. 27
  36. 15
  37. 84
  38. 63
  39. 48
  40. 60

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