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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 622 · 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 63-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?
  2. 2.Rice at ₹50 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.Rice at ₹24 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  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 ₹31 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.A grocer mixes 5 kg of tea at ₹106 per kg with 5 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 52-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?
  8. 8.Rice at ₹36 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  10. 10.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?
  11. 11.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?
  12. 12.Rice at ₹27 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.A grocer mixes 6 kg of tea at ₹38 per kg with 2 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 30-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?
  15. 15.A grocer mixes 2 kg of tea at ₹41 per kg with 6 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  18. 18.A grocer mixes 4 kg of tea at ₹107 per kg with 12 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹64 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.A grocer mixes 7 kg of tea at ₹31 per kg with 5 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 52-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  22. 22.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 10 kg of tea at ₹39 per kg with 7 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 10 kg of tea at ₹99 per kg with 5 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A 39-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?
  27. 27.A 63-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  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 27-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?
  30. 30.Rice at ₹54 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  31. 31.Rice at ₹74 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  32. 32.A grocer mixes 3 kg of tea at ₹106 per kg with 2 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹52 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  34. 34.A jug has 20 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?
  35. 35.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 : 5?
  36. 36.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  37. 37.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?
  38. 38.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?
  39. 39.A grocer mixes 4 kg of tea at ₹67 per kg with 8 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 11 kg of tea at ₹22 per kg with 11 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 9
  2. 20
  3. 3
  4. 40
  5. 2
  6. 105
  7. 12
  8. 12
  9. 16
  10. 50
  11. 25
  12. 8
  13. 44
  14. 24
  15. 74
  16. 50
  17. 36
  18. 65
  19. 6
  20. 66
  21. 12
  22. 50
  23. 32
  24. 105
  25. 80
  26. 12
  27. 28
  28. 64
  29. 12
  30. 15
  31. 32
  32. 80
  33. 5
  34. 40
  35. 16
  36. 9
  37. 40
  38. 60
  39. 89
  40. 70

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