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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 444 · 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.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?
  3. 3.A grocer mixes 2 kg of tea at ₹37 per kg with 6 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  5. 5.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 : 9?
  6. 6.A 88-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?
  7. 7.A grocer mixes 7 kg of tea at ₹77 per kg with 9 kg of tea at ₹29 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.Rice at ₹76 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  10. 10.A jug has 20 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?
  11. 11.Rice at ₹34 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  12. 12.Rice at ₹64 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.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?
  14. 14.Rice at ₹78 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  15. 15.A grocer mixes 6 kg of tea at ₹49 per kg with 2 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹28 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.Rice at ₹37 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  18. 18.Rice at ₹59 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  19. 19.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  20. 20.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  21. 21.Rice at ₹68 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.Rice at ₹36 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  23. 23.A grocer mixes 5 kg of tea at ₹33 per kg with 3 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.A grocer mixes 12 kg of tea at ₹40 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.Rice at ₹60 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  28. 28.A grocer mixes 5 kg of tea at ₹75 per kg with 8 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  30. 30.Rice at ₹64 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  31. 31.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  32. 32.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 : 2?
  33. 33.Rice at ₹43 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  34. 34.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.Rice at ₹56 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  36. 36.Rice at ₹32 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.Rice at ₹62 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  38. 38.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?
  39. 39.A 30-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  40. 40.A 88-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?

Answer key

  1. 36
  2. 50
  3. 73
  4. 9
  5. 8
  6. 16
  7. 50
  8. 60
  9. 14
  10. 40
  11. 5
  12. 4
  13. 28
  14. 1
  15. 56
  16. 3
  17. 15
  18. 5
  19. 20
  20. 8
  21. 10
  22. 20
  23. 51
  24. 40
  25. 49
  26. 50
  27. 1
  28. 51
  29. 3
  30. 35
  31. 40
  32. 9
  33. 7
  34. 3
  35. 12
  36. 10
  37. 35
  38. 50
  39. 18
  40. 24

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