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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 860 · 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 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?
  2. 2.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?
  3. 3.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  4. 4.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?
  5. 5.Rice at ₹73 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  6. 6.Rice at ₹61 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  8. 8.Rice at ₹61 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  9. 9.A 33-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  10. 10.Rice at ₹22 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  11. 11.Rice at ₹26 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.A 56-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  13. 13.A grocer mixes 3 kg of tea at ₹21 per kg with 2 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  15. 15.Rice at ₹32 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.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?
  17. 17.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.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?
  19. 19.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?
  20. 20.A grocer mixes 2 kg of tea at ₹22 per kg with 2 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  22. 22.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  23. 23.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?
  24. 24.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?
  25. 25.A jug has 20 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?
  26. 26.A 36-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?
  27. 27.A grocer mixes 2 kg of tea at ₹49 per kg with 2 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 6 kg of tea at ₹39 per kg with 10 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 2 kg of tea at ₹76 per kg with 10 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  31. 31.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹45 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  33. 33.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  34. 34.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?
  35. 35.Rice at ₹71 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.Rice at ₹33 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  37. 37.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?
  38. 38.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?
  39. 39.A grocer mixes 7 kg of tea at ₹42 per kg with 7 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  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. 75
  2. 36
  3. 8
  4. 60
  5. 40
  6. 3
  7. 3
  8. 48
  9. 6
  10. 6
  11. 4
  12. 24
  13. 55
  14. 8
  15. 1
  16. 28
  17. 50
  18. 50
  19. 52
  20. 32
  21. 9
  22. 30
  23. 64
  24. 40
  25. 70
  26. 12
  27. 65
  28. 49
  29. 41
  30. 9
  31. 25
  32. 32
  33. 24
  34. 60
  35. 3
  36. 6
  37. 40
  38. 50
  39. 55
  40. 50

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