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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 317 · 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 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  2. 2.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?
  3. 3.Rice at ₹65 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  4. 4.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?
  5. 5.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?
  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.Rice at ₹79 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  8. 8.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.A grocer mixes 2 kg of tea at ₹59 per kg with 10 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.Rice at ₹58 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.Rice at ₹70 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  13. 13.Rice at ₹48 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.Rice at ₹55 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  17. 17.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?
  18. 18.Rice at ₹44 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  19. 19.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  20. 20.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?
  21. 21.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?
  22. 22.Rice at ₹72 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  23. 23.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  24. 24.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  25. 25.Rice at ₹75 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  27. 27.A grocer mixes 4 kg of tea at ₹37 per kg with 4 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 4 kg of tea at ₹64 per kg with 3 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 3 kg of tea at ₹39 per kg with 12 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹44 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  31. 31.Rice at ₹47 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  32. 32.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?
  33. 33.Rice at ₹74 per kg is mixed with rice at ₹109 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?
  34. 34.A grocer mixes 11 kg of tea at ₹23 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.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?
  37. 37.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  38. 38.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?
  39. 39.A grocer mixes 3 kg of tea at ₹103 per kg with 3 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 7 kg of tea at ₹74 per kg with 11 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 20
  2. 28
  3. 24
  4. 60
  5. 60
  6. 25
  7. 30
  8. 14
  9. 109
  10. 55
  11. 2
  12. 40
  13. 1
  14. 25
  15. 15
  16. 4
  17. 40
  18. 40
  19. 20
  20. 50
  21. 28
  22. 3
  23. 12
  24. 18
  25. 6
  26. 7
  27. 38
  28. 46
  29. 83
  30. 40
  31. 15
  32. 50
  33. 12
  34. 26
  35. 40
  36. 20
  37. 40
  38. 52
  39. 88
  40. 96

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