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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 806 · 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 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  2. 2.Rice at ₹53 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  4. 4.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?
  5. 5.A grocer mixes 4 kg of tea at ₹21 per kg with 4 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 7 kg of tea at ₹33 per kg with 7 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹32 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  8. 8.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 : 9?
  9. 9.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  10. 10.A 110-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?
  11. 11.A grocer mixes 12 kg of tea at ₹44 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 3 kg of tea at ₹21 per kg with 9 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  15. 15.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?
  16. 16.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  17. 17.Rice at ₹30 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  18. 18.Rice at ₹24 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.A jug has 10 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?
  20. 20.A grocer mixes 6 kg of tea at ₹102 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹67 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.A grocer mixes 6 kg of tea at ₹86 per kg with 7 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 4 kg of tea at ₹73 per kg with 2 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 40 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?
  25. 25.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  26. 26.A grocer mixes 9 kg of tea at ₹78 per kg with 7 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹61 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 35 kg of the dearer rice?
  28. 28.Rice at ₹25 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 6 kg of the dearer rice?
  29. 29.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  30. 30.A grocer mixes 3 kg of tea at ₹31 per kg with 12 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A jug has 40 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?
  32. 32.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?
  33. 33.Rice at ₹49 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  34. 34.Rice at ₹21 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  35. 35.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?
  36. 36.A 33-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  37. 37.Rice at ₹58 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 12 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 10 kg of tea at ₹108 per kg with 10 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 10
  2. 4
  3. 10
  4. 52
  5. 25
  6. 53
  7. 21
  8. 24
  9. 12
  10. 30
  11. 45
  12. 45
  13. 4
  14. 21
  15. 12
  16. 18
  17. 4
  18. 4
  19. 80
  20. 90
  21. 3
  22. 58
  23. 80
  24. 40
  25. 6
  26. 64
  27. 42
  28. 1
  29. 8
  30. 35
  31. 60
  32. 75
  33. 6
  34. 14
  35. 25
  36. 12
  37. 4
  38. 50
  39. 88
  40. 50

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