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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 547 · 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.Rice at ₹70 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  2. 2.A grocer mixes 3 kg of tea at ₹92 per kg with 9 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹23 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  4. 4.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  5. 5.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  6. 6.Rice at ₹48 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  7. 7.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?
  8. 8.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?
  9. 9.A 88-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.A grocer mixes 10 kg of tea at ₹32 per kg with 10 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹72 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  12. 12.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?
  13. 13.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?
  14. 14.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?
  15. 15.A 12-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?
  16. 16.A grocer mixes 10 kg of tea at ₹98 per kg with 4 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹26 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  18. 18.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?
  19. 19.Rice at ₹57 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  20. 20.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  21. 21.Rice at ₹74 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  22. 22.Rice at ₹39 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.Rice at ₹36 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.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 4 : 11?
  25. 25.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  26. 26.A grocer mixes 3 kg of tea at ₹94 per kg with 12 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 8 kg of tea at ₹58 per kg with 9 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.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?
  30. 30.A grocer mixes 12 kg of tea at ₹92 per kg with 3 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 9 kg of tea at ₹33 per kg with 3 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 56-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?
  33. 33.A jug has 20 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?
  34. 34.A grocer mixes 4 kg of tea at ₹67 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 9 kg of tea at ₹41 per kg with 9 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  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 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 : 8?
  38. 38.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  39. 39.A 28-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?
  40. 40.A grocer mixes 4 kg of tea at ₹20 per kg with 4 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 16
  2. 68
  3. 30
  4. 2
  5. 9
  6. 20
  7. 64
  8. 50
  9. 8
  10. 72
  11. 28
  12. 12
  13. 25
  14. 25
  15. 4
  16. 90
  17. 7
  18. 55
  19. 6
  20. 18
  21. 6
  22. 18
  23. 3
  24. 8
  25. 3
  26. 70
  27. 76
  28. 6
  29. 60
  30. 82
  31. 38
  32. 24
  33. 70
  34. 55
  35. 72
  36. 20
  37. 16
  38. 40
  39. 21
  40. 66

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