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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 759 · 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 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  2. 2.A grocer mixes 2 kg of tea at ₹40 per kg with 4 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹63 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  4. 4.A grocer mixes 3 kg of tea at ₹52 per kg with 3 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A 21-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?
  7. 7.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 1 : 2?
  8. 8.Rice at ₹64 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  9. 9.Rice at ₹38 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  10. 10.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 4 kg of the dearer rice?
  11. 11.A grocer mixes 10 kg of tea at ₹110 per kg with 2 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  14. 14.A jug has 10 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?
  15. 15.Rice at ₹49 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  16. 16.A grocer mixes 12 kg of tea at ₹89 per kg with 6 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹74 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A grocer mixes 7 kg of tea at ₹22 per kg with 8 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  20. 20.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?
  21. 21.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?
  22. 22.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?
  23. 23.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?
  24. 24.A 54-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  25. 25.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?
  26. 26.A 22-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?
  27. 27.A jug has 40 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?
  28. 28.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?
  29. 29.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?
  30. 30.Rice at ₹78 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  31. 31.A 22-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?
  32. 32.A grocer mixes 2 kg of tea at ₹102 per kg with 2 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 10 kg of tea at ₹31 per kg with 10 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A 55-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  36. 36.Rice at ₹67 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  37. 37.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?
  38. 38.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  39. 39.Rice at ₹80 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  40. 40.Rice at ₹45 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 20
  2. 58
  3. 7
  4. 84
  5. 40
  6. 7
  7. 32
  8. 18
  9. 30
  10. 1
  11. 103
  12. 60
  13. 6
  14. 70
  15. 6
  16. 66
  17. 3
  18. 30
  19. 2
  20. 50
  21. 40
  22. 60
  23. 50
  24. 36
  25. 50
  26. 8
  27. 36
  28. 64
  29. 25
  30. 12
  31. 4
  32. 103
  33. 30
  34. 50
  35. 5
  36. 4
  37. 80
  38. 18
  39. 28
  40. 18

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