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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 263 · 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 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  2. 2.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?
  3. 3.Rice at ₹70 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  4. 4.A grocer mixes 6 kg of tea at ₹119 per kg with 3 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 20 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 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  7. 7.A jug has 40 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?
  8. 8.Rice at ₹27 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  10. 10.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?
  11. 11.Rice at ₹80 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  12. 12.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.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?
  14. 14.Rice at ₹63 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.Rice at ₹32 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  16. 16.Rice at ₹36 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  17. 17.A grocer mixes 10 kg of tea at ₹97 per kg with 10 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 8 kg of tea at ₹106 per kg with 2 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  20. 20.A jug has 20 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?
  21. 21.Rice at ₹55 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.A grocer mixes 6 kg of tea at ₹116 per kg with 12 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 11 kg of tea at ₹111 per kg with 2 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  25. 25.A grocer mixes 4 kg of tea at ₹30 per kg with 7 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹35 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  27. 27.A grocer mixes 6 kg of tea at ₹54 per kg with 2 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹61 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A grocer mixes 3 kg of tea at ₹35 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 7 kg of tea at ₹35 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  33. 33.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?
  34. 34.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?
  35. 35.Rice at ₹20 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.Rice at ₹72 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  37. 37.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  38. 38.A jug has 40 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?
  39. 39.Rice at ₹67 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?

Answer key

  1. 16
  2. 50
  3. 35
  4. 109
  5. 28
  6. 5
  7. 40
  8. 36
  9. 6
  10. 40
  11. 6
  12. 75
  13. 40
  14. 3
  15. 12
  16. 6
  17. 71
  18. 91
  19. 18
  20. 70
  21. 3
  22. 76
  23. 99
  24. 4
  25. 79
  26. 6
  27. 53
  28. 24
  29. 76
  30. 32
  31. 50
  32. 15
  33. 75
  34. 60
  35. 12
  36. 18
  37. 7
  38. 52
  39. 6
  40. 4

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