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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 442 · 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 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  2. 2.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?
  3. 3.Rice at ₹30 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.A grocer mixes 9 kg of tea at ₹82 per kg with 3 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  6. 6.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.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?
  8. 8.A grocer mixes 3 kg of tea at ₹46 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹59 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.A grocer mixes 9 kg of tea at ₹62 per kg with 9 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  12. 12.Rice at ₹76 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  13. 13.Rice at ₹71 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  14. 14.Rice at ₹53 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.A grocer mixes 5 kg of tea at ₹44 per kg with 9 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 4 kg of tea at ₹118 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹56 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  18. 18.A grocer mixes 5 kg of tea at ₹32 per kg with 4 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A jug has 20 litres of a drink that is 10% 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 ₹42 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.Rice at ₹23 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  23. 23.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  24. 24.A jug has 40 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?
  25. 25.Rice at ₹64 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  26. 26.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?
  27. 27.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?
  28. 28.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  29. 29.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?
  30. 30.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.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?
  32. 32.A jug has 25 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?
  33. 33.A grocer mixes 10 kg of tea at ₹97 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.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?
  36. 36.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  37. 37.Rice at ₹32 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  38. 38.A grocer mixes 8 kg of tea at ₹94 per kg with 8 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  40. 40.Rice at ₹47 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?

Answer key

  1. 8
  2. 50
  3. 15
  4. 86
  5. 24
  6. 50
  7. 80
  8. 80
  9. 12
  10. 50
  11. 2
  12. 8
  13. 9
  14. 6
  15. 62
  16. 75
  17. 10
  18. 56
  19. 55
  20. 73
  21. 52
  22. 8
  23. 5
  24. 25
  25. 5
  26. 50
  27. 60
  28. 5
  29. 68
  30. 36
  31. 50
  32. 50
  33. 83
  34. 10
  35. 60
  36. 10
  37. 8
  38. 66
  39. 24
  40. 7

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