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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 428 · 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 40-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?
  2. 2.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?
  3. 3.A grocer mixes 6 kg of tea at ₹93 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.Rice at ₹63 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  6. 6.A 21-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?
  7. 7.Rice at ₹23 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  8. 8.Rice at ₹70 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  10. 10.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  11. 11.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?
  12. 12.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 : 9?
  13. 13.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?
  14. 14.Rice at ₹28 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  15. 15.A 24-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?
  16. 16.A grocer mixes 3 kg of tea at ₹44 per kg with 9 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 50 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?
  18. 18.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?
  19. 19.A grocer mixes 2 kg of tea at ₹82 per kg with 2 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 20-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?
  21. 21.A grocer mixes 8 kg of tea at ₹29 per kg with 6 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹74 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.Rice at ₹70 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.Rice at ₹31 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  25. 25.A grocer mixes 6 kg of tea at ₹35 per kg with 3 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  28. 28.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.A grocer mixes 2 kg of tea at ₹66 per kg with 12 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 5 kg of tea at ₹106 per kg with 5 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.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?
  33. 33.Rice at ₹31 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  35. 35.A jug has 10 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?
  36. 36.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?
  37. 37.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?
  38. 38.A jug has 10 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?
  39. 39.Rice at ₹49 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 10 kg of the dearer rice?
  40. 40.Rice at ₹44 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 16
  2. 28
  3. 84
  4. 50
  5. 30
  6. 6
  7. 2
  8. 30
  9. 12
  10. 32
  11. 40
  12. 4
  13. 80
  14. 30
  15. 4
  16. 83
  17. 25
  18. 25
  19. 58
  20. 8
  21. 53
  22. 8
  23. 15
  24. 8
  25. 54
  26. 50
  27. 8
  28. 9
  29. 108
  30. 66
  31. 55
  32. 50
  33. 10
  34. 10
  35. 40
  36. 50
  37. 60
  38. 60
  39. 4
  40. 20

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