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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 63 · 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 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?
  2. 2.Rice at ₹28 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.Rice at ₹57 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.Rice at ₹41 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  5. 5.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  6. 6.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  7. 7.Rice at ₹53 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  8. 8.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?
  9. 9.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 : 1?
  10. 10.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?
  11. 11.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?
  12. 12.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  13. 13.A jug has 10 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?
  14. 14.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  15. 15.A grocer mixes 3 kg of tea at ₹85 per kg with 7 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A 27-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?
  18. 18.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  19. 19.A grocer mixes 12 kg of tea at ₹62 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A grocer mixes 4 kg of tea at ₹32 per kg with 12 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 4 kg of tea at ₹72 per kg with 5 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 5 kg of tea at ₹86 per kg with 10 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 8 kg of tea at ₹72 per kg with 8 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 3 kg of tea at ₹20 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  27. 27.Rice at ₹78 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  28. 28.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.A grocer mixes 5 kg of tea at ₹25 per kg with 3 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 70-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  31. 31.A jug has 40 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?
  32. 32.Rice at ₹66 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  33. 33.A jug has 20 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?
  34. 34.A grocer mixes 3 kg of tea at ₹109 per kg with 12 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹42 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.Rice at ₹74 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  37. 37.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  38. 38.A 16-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?
  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 ₹58 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 36
  2. 1
  3. 3
  4. 4
  5. 2
  6. 8
  7. 16
  8. 20
  9. 2
  10. 50
  11. 70
  12. 40
  13. 68
  14. 40
  15. 50
  16. 50
  17. 27
  18. 12
  19. 72
  20. 75
  21. 83
  22. 82
  23. 84
  24. 47
  25. 32
  26. 20
  27. 14
  28. 3
  29. 31
  30. 7
  31. 40
  32. 25
  33. 55
  34. 53
  35. 16
  36. 3
  37. 6
  38. 12
  39. 6
  40. 15

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