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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 695 · 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 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  2. 2.A jug has 10 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.Rice at ₹46 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  4. 4.Rice at ₹46 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  5. 5.Rice at ₹24 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  6. 6.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 4 kg of tea at ₹56 per kg with 2 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  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 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  10. 10.Rice at ₹46 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  11. 11.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?
  12. 12.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  13. 13.A grocer mixes 2 kg of tea at ₹21 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 5 kg of tea at ₹117 per kg with 5 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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 2 : 3?
  16. 16.Rice at ₹58 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  17. 17.A grocer mixes 8 kg of tea at ₹60 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹60 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.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?
  20. 20.Rice at ₹36 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  21. 21.Rice at ₹68 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.A grocer mixes 4 kg of tea at ₹22 per kg with 8 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A jug has 40 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?
  24. 24.A grocer mixes 6 kg of tea at ₹98 per kg with 5 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹80 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.A grocer mixes 2 kg of tea at ₹91 per kg with 8 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.Rice at ₹75 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  29. 29.A grocer mixes 4 kg of tea at ₹34 per kg with 6 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹77 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.A grocer mixes 4 kg of tea at ₹108 per kg with 3 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.Rice at ₹57 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  34. 34.Rice at ₹71 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.Rice at ₹73 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.A jug has 20 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?
  37. 37.Rice at ₹40 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.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?
  39. 39.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?
  40. 40.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 3 : 5?

Answer key

  1. 24
  2. 70
  3. 20
  4. 10
  5. 8
  6. 25
  7. 72
  8. 55
  9. 9
  10. 6
  11. 40
  12. 18
  13. 41
  14. 70
  15. 4
  16. 4
  17. 68
  18. 3
  19. 40
  20. 8
  21. 5
  22. 68
  23. 52
  24. 68
  25. 18
  26. 35
  27. 60
  28. 12
  29. 37
  30. 20
  31. 84
  32. 28
  33. 5
  34. 8
  35. 1
  36. 52
  37. 2
  38. 68
  39. 50
  40. 27

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