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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 154 · 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 8 kg of tea at ₹64 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  3. 3.Rice at ₹49 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  4. 4.Rice at ₹57 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 25 kg of the dearer rice?
  5. 5.A grocer mixes 6 kg of tea at ₹28 per kg with 9 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 2 kg of tea at ₹48 per kg with 6 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 12 kg of tea at ₹89 per kg with 12 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 2 kg of tea at ₹66 per kg with 8 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 3 kg of tea at ₹35 per kg with 3 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 4 kg of tea at ₹23 per kg with 11 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 25 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?
  12. 12.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  13. 13.Rice at ₹40 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  14. 14.A 20-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  15. 15.A grocer mixes 5 kg of tea at ₹72 per kg with 5 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹76 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  17. 17.A grocer mixes 12 kg of tea at ₹100 per kg with 10 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  19. 19.A grocer mixes 4 kg of tea at ₹43 per kg with 2 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  21. 21.A jug has 40 litres of a drink that is 40% mango juice. 8 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 ₹39 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  23. 23.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?
  24. 24.Rice at ₹48 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  25. 25.Rice at ₹59 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  26. 26.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  27. 27.A grocer mixes 4 kg of tea at ₹119 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 110-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?
  29. 29.A grocer mixes 7 kg of tea at ₹36 per kg with 7 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  31. 31.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  32. 32.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?
  33. 33.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 40 kg of the dearer rice?
  34. 34.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 : 8?
  35. 35.A grocer mixes 3 kg of tea at ₹100 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A grocer mixes 4 kg of tea at ₹74 per kg with 2 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 9 kg of tea at ₹36 per kg with 9 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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 : 5?
  40. 40.A 99-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?

Answer key

  1. 51
  2. 8
  3. 8
  4. 5
  5. 73
  6. 39
  7. 56
  8. 30
  9. 56
  10. 56
  11. 50
  12. 5
  13. 3
  14. 8
  15. 71
  16. 6
  17. 70
  18. 9
  19. 57
  20. 3
  21. 50
  22. 18
  23. 64
  24. 32
  25. 10
  26. 28
  27. 84
  28. 10
  29. 61
  30. 36
  31. 18
  32. 25
  33. 32
  34. 3
  35. 70
  36. 50
  37. 78
  38. 78
  39. 9
  40. 27

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