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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 744 · 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 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  2. 2.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?
  3. 3.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  4. 4.A 28-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?
  5. 5.A grocer mixes 2 kg of tea at ₹87 per kg with 2 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹61 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  7. 7.Rice at ₹73 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  8. 8.A jug has 10 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?
  9. 9.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?
  10. 10.A grocer mixes 12 kg of tea at ₹112 per kg with 3 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  12. 12.A grocer mixes 3 kg of tea at ₹41 per kg with 8 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹54 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  14. 14.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  15. 15.A grocer mixes 12 kg of tea at ₹68 per kg with 6 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.Rice at ₹78 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  18. 18.Rice at ₹51 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.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?
  20. 20.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?
  21. 21.Rice at ₹33 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  22. 22.Rice at ₹77 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.A 80-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?
  24. 24.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?
  25. 25.A grocer mixes 4 kg of tea at ₹119 per kg with 12 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 10 kg of tea at ₹83 per kg with 6 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  28. 28.A 49-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?
  29. 29.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  30. 30.Rice at ₹29 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  31. 31.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  32. 32.Rice at ₹38 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  33. 33.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?
  34. 34.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.Rice at ₹64 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.Rice at ₹55 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  37. 37.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?
  38. 38.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?
  39. 39.A grocer mixes 9 kg of tea at ₹115 per kg with 9 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹31 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?

Answer key

  1. 28
  2. 55
  3. 8
  4. 12
  5. 88
  6. 28
  7. 16
  8. 55
  9. 40
  10. 96
  11. 14
  12. 73
  13. 7
  14. 9
  15. 72
  16. 36
  17. 14
  18. 12
  19. 50
  20. 50
  21. 6
  22. 4
  23. 30
  24. 70
  25. 92
  26. 86
  27. 6
  28. 7
  29. 10
  30. 4
  31. 32
  32. 12
  33. 60
  34. 25
  35. 40
  36. 32
  37. 50
  38. 28
  39. 113
  40. 7

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