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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 15 · 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 ₹35 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  2. 2.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  3. 3.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  4. 4.A grocer mixes 5 kg of tea at ₹21 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹67 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  6. 6.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 : 1?
  7. 7.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?
  8. 8.A grocer mixes 2 kg of tea at ₹95 per kg with 8 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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 16 kg of the dearer rice?
  10. 10.Rice at ₹25 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  11. 11.A 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  12. 12.Rice at ₹28 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.Rice at ₹62 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  14. 14.A grocer mixes 3 kg of tea at ₹50 per kg with 3 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 3 kg of tea at ₹40 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  17. 17.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 : 6?
  18. 18.A 50-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?
  19. 19.Rice at ₹55 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  20. 20.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?
  21. 21.A grocer mixes 12 kg of tea at ₹42 per kg with 12 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹57 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.A grocer mixes 5 kg of tea at ₹21 per kg with 10 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.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?
  26. 26.Rice at ₹31 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  27. 27.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  28. 28.A grocer mixes 8 kg of tea at ₹57 per kg with 7 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 12 kg of tea at ₹39 per kg with 2 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 12 kg of tea at ₹49 per kg with 12 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 8 kg of tea at ₹96 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹37 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  33. 33.A grocer mixes 2 kg of tea at ₹24 per kg with 6 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 9 kg of tea at ₹25 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 50 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?
  36. 36.A 28-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?
  37. 37.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?
  38. 38.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?
  39. 39.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?
  40. 40.A 24-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?

Answer key

  1. 15
  2. 8
  3. 40
  4. 51
  5. 10
  6. 9
  7. 50
  8. 63
  9. 12
  10. 20
  11. 24
  12. 10
  13. 7
  14. 55
  15. 38
  16. 30
  17. 27
  18. 30
  19. 3
  20. 50
  21. 74
  22. 3
  23. 39
  24. 28
  25. 50
  26. 10
  27. 32
  28. 43
  29. 37
  30. 60
  31. 98
  32. 4
  33. 93
  34. 44
  35. 25
  36. 7
  37. 50
  38. 4
  39. 4
  40. 3

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