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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 172 · 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 ₹64 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  2. 2.A grocer mixes 4 kg of tea at ₹86 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  4. 4.A grocer mixes 8 kg of tea at ₹43 per kg with 6 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 30-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?
  6. 6.A grocer mixes 6 kg of tea at ₹20 per kg with 6 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  8. 8.Rice at ₹31 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹57 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  11. 11.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.Rice at ₹37 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  13. 13.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.Rice at ₹35 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  15. 15.Rice at ₹33 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  16. 16.Rice at ₹30 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.A grocer mixes 2 kg of tea at ₹22 per kg with 2 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A grocer mixes 6 kg of tea at ₹31 per kg with 12 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  22. 22.A grocer mixes 8 kg of tea at ₹42 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  25. 25.Rice at ₹48 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.A grocer mixes 5 kg of tea at ₹48 per kg with 2 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 7 kg of tea at ₹20 per kg with 6 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹25 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  29. 29.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  30. 30.A 81-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  31. 31.A grocer mixes 4 kg of tea at ₹58 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  33. 33.Rice at ₹56 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.A grocer mixes 11 kg of tea at ₹56 per kg with 11 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  36. 36.Rice at ₹46 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  37. 37.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  38. 38.A grocer mixes 10 kg of tea at ₹104 per kg with 4 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹49 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  40. 40.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?

Answer key

  1. 24
  2. 55
  3. 21
  4. 64
  5. 6
  6. 21
  7. 8
  8. 28
  9. 50
  10. 42
  11. 60
  12. 2
  13. 60
  14. 25
  15. 2
  16. 3
  17. 42
  18. 25
  19. 51
  20. 5
  21. 21
  22. 44
  23. 52
  24. 9
  25. 3
  26. 62
  27. 44
  28. 25
  29. 7
  30. 27
  31. 46
  32. 30
  33. 10
  34. 48
  35. 20
  36. 35
  37. 20
  38. 82
  39. 6
  40. 9

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