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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 465 · 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 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?
  2. 2.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?
  3. 3.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  4. 4.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?
  5. 5.Rice at ₹42 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.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?
  7. 7.A grocer mixes 12 kg of tea at ₹38 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹25 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  9. 9.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?
  10. 10.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?
  11. 11.A 90-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?
  12. 12.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?
  13. 13.Rice at ₹35 per kg is mixed with rice at ₹62 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?
  14. 14.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?
  15. 15.A jug has 10 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?
  16. 16.Rice at ₹41 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  17. 17.Rice at ₹75 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.Rice at ₹32 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  19. 19.A grocer mixes 4 kg of tea at ₹65 per kg with 10 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹34 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.Rice at ₹43 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  22. 22.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.Rice at ₹63 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹72 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  26. 26.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  27. 27.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  28. 28.Rice at ₹66 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  29. 29.Rice at ₹69 per kg is mixed with rice at ₹133 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  30. 30.Rice at ₹25 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  31. 31.A grocer mixes 10 kg of tea at ₹114 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 4 kg of tea at ₹72 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 9-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?
  34. 34.A grocer mixes 5 kg of tea at ₹25 per kg with 5 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.A grocer mixes 12 kg of tea at ₹77 per kg with 12 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 12 kg of tea at ₹54 per kg with 12 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹75 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.A 56-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  40. 40.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?

Answer key

  1. 25
  2. 32
  3. 30
  4. 50
  5. 10
  6. 40
  7. 34
  8. 5
  9. 28
  10. 80
  11. 40
  12. 70
  13. 4
  14. 50
  15. 60
  16. 5
  17. 4
  18. 14
  19. 60
  20. 1
  21. 3
  22. 76
  23. 16
  24. 60
  25. 36
  26. 5
  27. 9
  28. 14
  29. 35
  30. 2
  31. 103
  32. 81
  33. 12
  34. 71
  35. 2
  36. 50
  37. 39
  38. 4
  39. 24
  40. 9

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