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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 875 · 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.

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  1. 1.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?
  2. 2.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  3. 3.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  4. 4.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  5. 5.Rice at ₹46 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  6. 6.A grocer mixes 12 kg of tea at ₹51 per kg with 12 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.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?
  9. 9.A jug has 10 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?
  10. 10.A grocer mixes 3 kg of tea at ₹21 per kg with 9 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 21-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?
  12. 12.Rice at ₹28 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  13. 13.A grocer mixes 2 kg of tea at ₹42 per kg with 2 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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 1 : 2?
  15. 15.A grocer mixes 4 kg of tea at ₹38 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  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 ₹72 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  19. 19.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?
  20. 20.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  21. 21.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 : 2?
  22. 22.A grocer mixes 7 kg of tea at ₹73 per kg with 11 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 4 kg of tea at ₹26 per kg with 5 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹71 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹113 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  25. 25.Rice at ₹55 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.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?
  27. 27.Rice at ₹47 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  28. 28.Rice at ₹31 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  29. 29.A grocer mixes 6 kg of tea at ₹102 per kg with 12 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A grocer mixes 4 kg of tea at ₹25 per kg with 10 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 2 kg of tea at ₹44 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹41 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.Rice at ₹40 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  35. 35.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 : 10?
  36. 36.Rice at ₹48 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  37. 37.A 36-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  38. 38.A 30-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?
  39. 39.A grocer mixes 7 kg of tea at ₹106 per kg with 10 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 7 kg of tea at ₹44 per kg with 9 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 50
  2. 3
  3. 30
  4. 18
  5. 21
  6. 59
  7. 76
  8. 52
  9. 75
  10. 39
  11. 6
  12. 1
  13. 68
  14. 4
  15. 30
  16. 12
  17. 40
  18. 6
  19. 40
  20. 4
  21. 15
  22. 62
  23. 41
  24. 7
  25. 8
  26. 20
  27. 2
  28. 5
  29. 86
  30. 50
  31. 30
  32. 42
  33. 20
  34. 48
  35. 6
  36. 8
  37. 12
  38. 12
  39. 96
  40. 62

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