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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 490 · 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 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?
  2. 2.A grocer mixes 6 kg of tea at ₹23 per kg with 11 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 6 kg of tea at ₹53 per kg with 9 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹66 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.A grocer mixes 8 kg of tea at ₹35 per kg with 2 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 10 kg of tea at ₹31 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 4 kg of tea at ₹76 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 10 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?
  9. 9.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  10. 10.Rice at ₹54 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  11. 11.A grocer mixes 2 kg of tea at ₹31 per kg with 8 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.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?
  14. 14.Rice at ₹57 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  15. 15.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.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 : 4?
  17. 17.Rice at ₹78 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.Rice at ₹28 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.Rice at ₹74 per kg is mixed with rice at ₹137 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  20. 20.Rice at ₹24 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  21. 21.Rice at ₹57 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  23. 23.Rice at ₹65 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  24. 24.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?
  25. 25.A 33-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?
  26. 26.Rice at ₹37 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  27. 27.Rice at ₹76 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  28. 28.Rice at ₹31 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  29. 29.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?
  30. 30.A 45-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?
  31. 31.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A 18-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?
  33. 33.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?
  34. 34.Rice at ₹40 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.A 55-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?
  36. 36.Rice at ₹43 per kg is mixed with rice at ₹131 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  37. 37.A jug has 40 litres of a drink that is 40% mango juice. 8 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 18-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?
  40. 40.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?

Answer key

  1. 70
  2. 45
  3. 83
  4. 24
  5. 43
  6. 37
  7. 69
  8. 60
  9. 20
  10. 6
  11. 47
  12. 25
  13. 60
  14. 30
  15. 21
  16. 20
  17. 48
  18. 4
  19. 20
  20. 12
  21. 30
  22. 36
  23. 7
  24. 40
  25. 3
  26. 40
  27. 10
  28. 30
  29. 50
  30. 9
  31. 60
  32. 18
  33. 20
  34. 30
  35. 10
  36. 36
  37. 50
  38. 50
  39. 6
  40. 40

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