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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 763 · 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 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  2. 2.Rice at ₹32 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  4. 4.A grocer mixes 12 kg of tea at ₹25 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹73 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.Rice at ₹54 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  7. 7.A grocer mixes 6 kg of tea at ₹84 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  9. 9.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?
  10. 10.Rice at ₹30 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  11. 11.Rice at ₹33 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  12. 12.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  13. 13.Rice at ₹36 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  14. 14.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  15. 15.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  16. 16.A 16-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?
  17. 17.A grocer mixes 3 kg of tea at ₹103 per kg with 12 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.A 24-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?
  20. 20.A grocer mixes 6 kg of tea at ₹60 per kg with 8 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 18-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?
  22. 22.Rice at ₹53 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  23. 23.Rice at ₹53 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  24. 24.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.Rice at ₹50 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  26. 26.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  27. 27.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?
  28. 28.Rice at ₹48 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  29. 29.A jug has 10 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?
  30. 30.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?
  31. 31.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A grocer mixes 6 kg of tea at ₹38 per kg with 2 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  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 ₹65 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.A grocer mixes 2 kg of tea at ₹35 per kg with 8 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A 39-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?
  38. 38.Rice at ₹20 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.Rice at ₹61 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 6 kg of the dearer rice?
  40. 40.Rice at ₹27 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?

Answer key

  1. 8
  2. 40
  3. 18
  4. 26
  5. 8
  6. 5
  7. 94
  8. 32
  9. 52
  10. 35
  11. 2
  12. 6
  13. 5
  14. 12
  15. 6
  16. 8
  17. 47
  18. 50
  19. 8
  20. 48
  21. 2
  22. 15
  23. 8
  24. 80
  25. 10
  26. 10
  27. 55
  28. 35
  29. 60
  30. 40
  31. 50
  32. 39
  33. 60
  34. 32
  35. 51
  36. 50
  37. 9
  38. 32
  39. 30
  40. 5

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