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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 515 · 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.Rice at ₹62 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  2. 2.Rice at ₹67 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  3. 3.Rice at ₹46 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  4. 4.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  5. 5.A grocer mixes 8 kg of tea at ₹38 per kg with 8 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹73 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  7. 7.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  8. 8.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?
  9. 9.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?
  10. 10.Rice at ₹26 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  11. 11.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?
  12. 12.Rice at ₹35 per kg is mixed with rice at ₹63 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?
  13. 13.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.A 20-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?
  15. 15.Rice at ₹65 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.Rice at ₹50 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  17. 17.A 64-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?
  18. 18.Rice at ₹37 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  19. 19.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?
  20. 20.A grocer mixes 4 kg of tea at ₹36 per kg with 5 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 4 kg of tea at ₹35 per kg with 4 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 2 kg of tea at ₹64 per kg with 8 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 2 kg of tea at ₹54 per kg with 10 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹36 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  25. 25.Rice at ₹48 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  26. 26.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  27. 27.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?
  28. 28.Rice at ₹59 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.A jug has 10 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?
  30. 30.Rice at ₹23 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  31. 31.A grocer mixes 4 kg of tea at ₹23 per kg with 12 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  33. 33.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?
  34. 34.Rice at ₹80 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.Rice at ₹34 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  36. 36.A jug has 50 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?
  37. 37.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  38. 38.A grocer mixes 4 kg of tea at ₹106 per kg with 4 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 91-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  40. 40.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?

Answer key

  1. 3
  2. 12
  3. 10
  4. 24
  5. 58
  6. 6
  7. 16
  8. 25
  9. 68
  10. 30
  11. 40
  12. 1
  13. 10
  14. 2
  15. 3
  16. 32
  17. 24
  18. 14
  19. 60
  20. 56
  21. 38
  22. 68
  23. 79
  24. 5
  25. 25
  26. 7
  27. 40
  28. 10
  29. 75
  30. 21
  31. 38
  32. 28
  33. 60
  34. 4
  35. 12
  36. 50
  37. 6
  38. 71
  39. 21
  40. 28

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