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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 160 · 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 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  2. 2.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?
  3. 3.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?
  4. 4.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  5. 5.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  6. 6.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  7. 7.Rice at ₹77 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.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?
  9. 9.Rice at ₹24 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  10. 10.A 24-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  11. 11.Rice at ₹53 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.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?
  13. 13.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?
  14. 14.A jug has 40 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?
  15. 15.Rice at ₹77 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  16. 16.A grocer mixes 2 kg of tea at ₹54 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.A 15-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?
  19. 19.A grocer mixes 3 kg of tea at ₹39 per kg with 3 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹29 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  21. 21.Rice at ₹56 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹80 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 ₹52 per kg with 10 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 60-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?
  24. 24.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?
  25. 25.Rice at ₹32 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.Rice at ₹57 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  27. 27.A jug has 40 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?
  28. 28.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?
  29. 29.A grocer mixes 8 kg of tea at ₹50 per kg with 12 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 8 kg of tea at ₹53 per kg with 12 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹52 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  32. 32.Rice at ₹74 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.Rice at ₹72 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.Rice at ₹71 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.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 2 : 5?
  36. 36.A 48-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?
  37. 37.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  38. 38.A grocer mixes 6 kg of tea at ₹54 per kg with 6 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  40. 40.Rice at ₹35 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?

Answer key

  1. 2
  2. 50
  3. 50
  4. 16
  5. 3
  6. 6
  7. 2
  8. 50
  9. 12
  10. 18
  11. 3
  12. 25
  13. 50
  14. 40
  15. 10
  16. 60
  17. 60
  18. 15
  19. 50
  20. 7
  21. 14
  22. 72
  23. 6
  24. 80
  25. 2
  26. 30
  27. 28
  28. 75
  29. 68
  30. 71
  31. 15
  32. 25
  33. 2
  34. 16
  35. 12
  36. 12
  37. 21
  38. 60
  39. 9
  40. 20

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