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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 924 · 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 grocer mixes 3 kg of tea at ₹95 per kg with 12 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 20-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?
  3. 3.A jug has 20 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?
  4. 4.A grocer mixes 12 kg of tea at ₹41 per kg with 3 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹30 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  7. 7.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?
  8. 8.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹49 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.A grocer mixes 11 kg of tea at ₹112 per kg with 11 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 42-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?
  12. 12.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  13. 13.A grocer mixes 12 kg of tea at ₹49 per kg with 2 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A jug has 50 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?
  16. 16.A grocer mixes 2 kg of tea at ₹80 per kg with 2 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.Rice at ₹24 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  19. 19.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  20. 20.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  21. 21.Rice at ₹79 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  22. 22.A grocer mixes 11 kg of tea at ₹116 per kg with 10 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A jug has 40 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?
  24. 24.A jug has 40 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?
  25. 25.Rice at ₹71 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  26. 26.A grocer mixes 4 kg of tea at ₹67 per kg with 4 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 44-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  28. 28.A 35-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  29. 29.A jug has 20 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?
  30. 30.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 1 : 2?
  31. 31.Rice at ₹54 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  32. 32.Rice at ₹67 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.A grocer mixes 4 kg of tea at ₹79 per kg with 4 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹31 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.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?
  37. 37.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  38. 38.Rice at ₹62 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  39. 39.Rice at ₹40 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  40. 40.Rice at ₹72 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 75
  2. 8
  3. 50
  4. 43
  5. 50
  6. 4
  7. 60
  8. 75
  9. 2
  10. 98
  11. 18
  12. 40
  13. 53
  14. 28
  15. 25
  16. 57
  17. 40
  18. 7
  19. 16
  20. 9
  21. 7
  22. 76
  23. 60
  24. 20
  25. 6
  26. 50
  27. 8
  28. 10
  29. 60
  30. 36
  31. 3
  32. 12
  33. 53
  34. 4
  35. 50
  36. 28
  37. 14
  38. 2
  39. 30
  40. 8

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