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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 301 · 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.

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  1. 1.A jug has 10 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?
  2. 2.Rice at ₹71 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  3. 3.A 21-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  4. 4.A grocer mixes 4 kg of tea at ₹26 per kg with 4 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.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?
  7. 7.A 52-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  8. 8.A grocer mixes 2 kg of tea at ₹67 per kg with 10 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  10. 10.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?
  11. 11.A 84-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?
  12. 12.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  13. 13.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  14. 14.A grocer mixes 12 kg of tea at ₹95 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 8 kg of tea at ₹55 per kg with 8 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  17. 17.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 : 8?
  18. 18.Rice at ₹44 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.Rice at ₹55 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.Rice at ₹33 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  22. 22.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 6 kg of tea at ₹90 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 10 kg of tea at ₹45 per kg with 11 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.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?
  28. 28.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?
  29. 29.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A jug has 40 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?
  31. 31.A 49-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?
  32. 32.Rice at ₹33 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  33. 33.Rice at ₹40 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  36. 36.Rice at ₹44 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.Rice at ₹38 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.Rice at ₹67 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  39. 39.Rice at ₹38 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 40
  2. 4
  3. 3
  4. 50
  5. 50
  6. 50
  7. 4
  8. 62
  9. 8
  10. 50
  11. 21
  12. 5
  13. 30
  14. 91
  15. 80
  16. 24
  17. 24
  18. 2
  19. 5
  20. 4
  21. 32
  22. 25
  23. 69
  24. 78
  25. 60
  26. 36
  27. 28
  28. 75
  29. 60
  30. 60
  31. 28
  32. 30
  33. 5
  34. 40
  35. 28
  36. 48
  37. 30
  38. 6
  39. 42
  40. 50

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