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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 712 · 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 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  2. 2.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?
  3. 3.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  4. 4.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?
  5. 5.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?
  6. 6.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  7. 7.Rice at ₹57 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  8. 8.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹25 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  10. 10.Rice at ₹35 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  11. 11.A grocer mixes 9 kg of tea at ₹75 per kg with 9 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹69 per kg is mixed with rice at ₹133 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.A jug has 40 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?
  14. 14.A jug has 10 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.Rice at ₹62 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  16. 16.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  17. 17.Rice at ₹41 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.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?
  19. 19.A jug has 40 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?
  20. 20.A grocer mixes 6 kg of tea at ₹45 per kg with 10 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹43 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  22. 22.Rice at ₹23 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  23. 23.A 54-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  24. 24.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A grocer mixes 12 kg of tea at ₹42 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 10 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?
  27. 27.Rice at ₹44 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  28. 28.A jug has 25 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?
  29. 29.Rice at ₹77 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  30. 30.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?
  31. 31.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?
  32. 32.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?
  33. 33.A 72-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?
  34. 34.Rice at ₹32 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  35. 35.Rice at ₹44 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.A 72-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?
  37. 37.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?
  38. 38.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?
  39. 39.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  40. 40.Rice at ₹64 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 6
  2. 25
  3. 32
  4. 52
  5. 7
  6. 40
  7. 2
  8. 75
  9. 4
  10. 35
  11. 48
  12. 5
  13. 36
  14. 55
  15. 30
  16. 15
  17. 36
  18. 50
  19. 20
  20. 60
  21. 16
  22. 48
  23. 36
  24. 60
  25. 54
  26. 70
  27. 9
  28. 50
  29. 7
  30. 76
  31. 50
  32. 52
  33. 16
  34. 40
  35. 16
  36. 9
  37. 3
  38. 50
  39. 6
  40. 2

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