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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 90 · 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 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  2. 2.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?
  3. 3.A grocer mixes 9 kg of tea at ₹23 per kg with 9 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 11 kg of tea at ₹37 per kg with 5 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 35-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?
  6. 6.Rice at ₹74 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  7. 7.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?
  8. 8.A grocer mixes 6 kg of tea at ₹30 per kg with 2 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.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 : 9?
  11. 11.A 32-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?
  12. 12.A grocer mixes 2 kg of tea at ₹68 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  14. 14.A grocer mixes 6 kg of tea at ₹49 per kg with 8 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  16. 16.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?
  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.Rice at ₹52 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.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?
  20. 20.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  21. 21.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  22. 22.Rice at ₹36 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  23. 23.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  24. 24.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 : 1?
  25. 25.A grocer mixes 4 kg of tea at ₹119 per kg with 5 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 4 kg of tea at ₹81 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 2 kg of tea at ₹39 per kg with 3 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 50 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?
  29. 29.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?
  30. 30.A grocer mixes 3 kg of tea at ₹48 per kg with 2 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹29 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  32. 32.A grocer mixes 9 kg of tea at ₹89 per kg with 3 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  34. 34.A grocer mixes 8 kg of tea at ₹87 per kg with 8 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 11 kg of tea at ₹49 per kg with 11 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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 3 : 4?
  37. 37.A jug has 10 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?
  38. 38.Rice at ₹38 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.Rice at ₹45 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.Rice at ₹33 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 4
  2. 60
  3. 66
  4. 42
  5. 5
  6. 4
  7. 40
  8. 42
  9. 9
  10. 18
  11. 24
  12. 74
  13. 20
  14. 65
  15. 36
  16. 55
  17. 25
  18. 2
  19. 50
  20. 20
  21. 16
  22. 25
  23. 8
  24. 8
  25. 64
  26. 62
  27. 75
  28. 50
  29. 50
  30. 68
  31. 15
  32. 94
  33. 2
  34. 67
  35. 53
  36. 10
  37. 70
  38. 2
  39. 30
  40. 12

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