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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 247 · 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 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?
  2. 2.A grocer mixes 9 kg of tea at ₹29 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 12 kg of tea at ₹70 per kg with 4 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.A grocer mixes 10 kg of tea at ₹72 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 9 kg of tea at ₹62 per kg with 5 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A 21-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?
  9. 9.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?
  10. 10.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  11. 11.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?
  12. 12.Rice at ₹63 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  13. 13.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  14. 14.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  15. 15.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.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?
  17. 17.Rice at ₹50 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  18. 18.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  19. 19.A grocer mixes 2 kg of tea at ₹41 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 4 kg of tea at ₹96 per kg with 8 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 78-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  22. 22.A grocer mixes 11 kg of tea at ₹110 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  24. 24.A 120-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?
  25. 25.A 48-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?
  26. 26.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  27. 27.A 56-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  28. 28.A jug has 50 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?
  29. 29.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  30. 30.A grocer mixes 9 kg of tea at ₹108 per kg with 10 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  32. 32.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?
  33. 33.A grocer mixes 12 kg of tea at ₹66 per kg with 12 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 9 kg of tea at ₹54 per kg with 9 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  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.Rice at ₹79 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 11 kg of tea at ₹52 per kg with 3 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 7 kg of tea at ₹20 per kg with 9 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 28
  2. 51
  3. 82
  4. 20
  5. 64
  6. 57
  7. 60
  8. 6
  9. 50
  10. 12
  11. 50
  12. 18
  13. 3
  14. 24
  15. 75
  16. 76
  17. 10
  18. 8
  19. 48
  20. 108
  21. 12
  22. 98
  23. 36
  24. 20
  25. 16
  26. 20
  27. 32
  28. 50
  29. 6
  30. 88
  31. 4
  32. 50
  33. 58
  34. 42
  35. 6
  36. 28
  37. 6
  38. 25
  39. 61
  40. 38

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