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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 464 · 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 12 kg of tea at ₹61 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 8 kg of tea at ₹24 per kg with 4 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹23 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.A 35-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?
  5. 5.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?
  6. 6.Rice at ₹65 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 7 kg of the dearer rice?
  7. 7.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?
  8. 8.A 28-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?
  9. 9.A 63-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  10. 10.A 16-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?
  11. 11.A grocer mixes 10 kg of tea at ₹58 per kg with 4 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹28 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  13. 13.Rice at ₹21 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.A 15-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?
  15. 15.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?
  16. 16.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  17. 17.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?
  18. 18.A 27-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?
  19. 19.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?
  20. 20.A jug has 10 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?
  21. 21.A 14-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.Rice at ₹31 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  23. 23.A grocer mixes 6 kg of tea at ₹37 per kg with 4 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹46 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.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?
  27. 27.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  28. 28.A grocer mixes 10 kg of tea at ₹97 per kg with 10 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.Rice at ₹24 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  31. 31.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?
  32. 32.A grocer mixes 7 kg of tea at ₹80 per kg with 7 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹73 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  34. 34.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?
  35. 35.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  36. 36.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 7 : 5?
  37. 37.Rice at ₹70 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A 99-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  40. 40.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 1 : 3?

Answer key

  1. 52
  2. 43
  3. 5
  4. 20
  5. 80
  6. 14
  7. 50
  8. 4
  9. 9
  10. 4
  11. 60
  12. 40
  13. 9
  14. 15
  15. 50
  16. 7
  17. 52
  18. 9
  19. 50
  20. 70
  21. 6
  22. 6
  23. 53
  24. 50
  25. 3
  26. 40
  27. 14
  28. 59
  29. 55
  30. 4
  31. 60
  32. 72
  33. 28
  34. 75
  35. 20
  36. 10
  37. 2
  38. 64
  39. 18
  40. 3

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