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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 3 · 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 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  2. 2.A grocer mixes 10 kg of tea at ₹63 per kg with 3 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.Rice at ₹41 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.Rice at ₹23 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  6. 6.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  7. 7.Rice at ₹32 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.A grocer mixes 12 kg of tea at ₹71 per kg with 12 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  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 ₹49 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 6 kg of the dearer rice?
  12. 12.A grocer mixes 10 kg of tea at ₹26 per kg with 10 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 12 kg of tea at ₹88 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 49-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  15. 15.A grocer mixes 3 kg of tea at ₹30 per kg with 10 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 56-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  17. 17.A grocer mixes 2 kg of tea at ₹33 per kg with 5 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 15-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?
  19. 19.Rice at ₹80 per kg is mixed with rice at ₹92 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?
  20. 20.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?
  21. 21.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  22. 22.Rice at ₹28 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A grocer mixes 9 kg of tea at ₹86 per kg with 9 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹20 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  25. 25.A jug has 10 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?
  26. 26.Rice at ₹44 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  27. 27.Rice at ₹78 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.A grocer mixes 4 kg of tea at ₹25 per kg with 12 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A 27-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?
  31. 31.Rice at ₹72 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 8 kg of the dearer rice?
  32. 32.Rice at ₹35 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  33. 33.A grocer mixes 3 kg of tea at ₹88 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.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?
  36. 36.A 72-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?
  37. 37.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?
  38. 38.Rice at ₹28 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.A grocer mixes 3 kg of tea at ₹39 per kg with 6 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 15-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?

Answer key

  1. 14
  2. 69
  3. 60
  4. 3
  5. 24
  6. 40
  7. 6
  8. 61
  9. 24
  10. 40
  11. 3
  12. 48
  13. 68
  14. 14
  15. 70
  16. 16
  17. 83
  18. 5
  19. 1
  20. 36
  21. 10
  22. 12
  23. 98
  24. 21
  25. 70
  26. 4
  27. 3
  28. 73
  29. 28
  30. 36
  31. 6
  32. 25
  33. 72
  34. 50
  35. 9
  36. 27
  37. 68
  38. 1
  39. 47
  40. 3

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