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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 206 · 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 35-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?
  2. 2.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.Rice at ₹20 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  4. 4.A grocer mixes 4 kg of tea at ₹117 per kg with 12 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 6 kg of tea at ₹44 per kg with 6 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹71 per kg is mixed with rice at ₹135 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  7. 7.A grocer mixes 12 kg of tea at ₹117 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹32 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.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?
  10. 10.A jug has 10 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?
  11. 11.A grocer mixes 2 kg of tea at ₹70 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 14-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?
  13. 13.Rice at ₹59 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  14. 14.Rice at ₹29 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  16. 16.Rice at ₹68 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  17. 17.Rice at ₹63 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  18. 18.Rice at ₹72 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A grocer mixes 3 kg of tea at ₹74 per kg with 3 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 7 kg of tea at ₹55 per kg with 12 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹74 per kg is mixed with rice at ₹116 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?
  23. 23.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 1 : 3?
  24. 24.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  25. 25.A grocer mixes 4 kg of tea at ₹104 per kg with 12 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 4 kg of tea at ₹53 per kg with 5 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  29. 29.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  30. 30.A 6-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?
  31. 31.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 : 4?
  32. 32.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A grocer mixes 3 kg of tea at ₹44 per kg with 3 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹72 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.Rice at ₹41 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  36. 36.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?
  37. 37.A grocer mixes 4 kg of tea at ₹46 per kg with 4 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 45-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?
  39. 39.Rice at ₹63 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  40. 40.Rice at ₹49 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?

Answer key

  1. 7
  2. 64
  3. 8
  4. 102
  5. 40
  6. 15
  7. 106
  8. 30
  9. 50
  10. 70
  11. 52
  12. 4
  13. 9
  14. 3
  15. 4
  16. 4
  17. 6
  18. 25
  19. 50
  20. 62
  21. 43
  22. 24
  23. 18
  24. 10
  25. 44
  26. 48
  27. 75
  28. 18
  29. 18
  30. 6
  31. 18
  32. 50
  33. 69
  34. 4
  35. 14
  36. 52
  37. 68
  38. 27
  39. 20
  40. 30

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