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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 639 · 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 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  2. 2.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?
  3. 3.Rice at ₹69 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.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?
  6. 6.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.A 70-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?
  8. 8.A grocer mixes 8 kg of tea at ₹87 per kg with 8 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  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 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  12. 12.Rice at ₹72 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A grocer mixes 12 kg of tea at ₹28 per kg with 2 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 10 kg of tea at ₹117 per kg with 10 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.Rice at ₹25 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  18. 18.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  19. 19.Rice at ₹48 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.Rice at ₹50 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.Rice at ₹67 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  22. 22.A grocer mixes 3 kg of tea at ₹34 per kg with 6 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹79 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  24. 24.Rice at ₹63 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.A grocer mixes 5 kg of tea at ₹55 per kg with 6 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.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 2 : 1?
  29. 29.Rice at ₹38 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  30. 30.Rice at ₹72 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  31. 31.A 12-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?
  32. 32.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  33. 33.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  34. 34.A grocer mixes 4 kg of tea at ₹40 per kg with 7 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 6 kg of tea at ₹37 per kg with 3 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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 6 : 7?
  37. 37.Rice at ₹63 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  38. 38.Rice at ₹48 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  39. 39.Rice at ₹76 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹118 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.Rice at ₹26 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 10
  2. 50
  3. 20
  4. 80
  5. 50
  6. 6
  7. 30
  8. 74
  9. 50
  10. 76
  11. 9
  12. 8
  13. 80
  14. 31
  15. 111
  16. 40
  17. 40
  18. 6
  19. 3
  20. 4
  21. 7
  22. 86
  23. 21
  24. 24
  25. 61
  26. 25
  27. 50
  28. 10
  29. 8
  30. 3
  31. 6
  32. 24
  33. 6
  34. 68
  35. 52
  36. 4
  37. 40
  38. 9
  39. 4
  40. 48

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