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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 214 · 40 questions
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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 81-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.A grocer mixes 2 kg of tea at ₹100 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 6 kg of tea at ₹49 per kg with 3 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.Rice at ₹71 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  6. 6.A grocer mixes 4 kg of tea at ₹60 per kg with 6 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A 50-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?
  9. 9.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?
  10. 10.A grocer mixes 11 kg of tea at ₹77 per kg with 11 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 40 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?
  12. 12.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A grocer mixes 6 kg of tea at ₹54 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 2 kg of tea at ₹30 per kg with 5 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹22 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  16. 16.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  17. 17.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  18. 18.Rice at ₹80 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  19. 19.Rice at ₹24 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.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?
  21. 21.A grocer mixes 9 kg of tea at ₹110 per kg with 12 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 3 kg of tea at ₹58 per kg with 5 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹54 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  24. 24.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  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.Rice at ₹40 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  27. 27.A grocer mixes 2 kg of tea at ₹50 per kg with 4 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹45 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A grocer mixes 5 kg of tea at ₹73 per kg with 5 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A grocer mixes 9 kg of tea at ₹33 per kg with 10 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 10 kg of tea at ₹47 per kg with 3 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  34. 34.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  36. 36.A grocer mixes 10 kg of tea at ₹40 per kg with 10 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹78 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹120 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  39. 39.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A 60-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?

Answer key

  1. 9
  2. 68
  3. 44
  4. 40
  5. 25
  6. 63
  7. 75
  8. 40
  9. 50
  10. 50
  11. 25
  12. 50
  13. 48
  14. 35
  15. 20
  16. 5
  17. 20
  18. 8
  19. 24
  20. 25
  21. 78
  22. 38
  23. 2
  24. 3
  25. 50
  26. 12
  27. 88
  28. 20
  29. 79
  30. 40
  31. 53
  32. 59
  33. 21
  34. 60
  35. 20
  36. 31
  37. 1
  38. 8
  39. 50
  40. 30

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