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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 939 · 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 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.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?
  3. 3.Rice at ₹25 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.Rice at ₹28 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  5. 5.A grocer mixes 3 kg of tea at ₹62 per kg with 3 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹26 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  7. 7.A jug has 10 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?
  8. 8.Rice at ₹54 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A 10-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?
  10. 10.A grocer mixes 12 kg of tea at ₹52 per kg with 12 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  12. 12.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  13. 13.Rice at ₹34 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  14. 14.A grocer mixes 8 kg of tea at ₹24 per kg with 3 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.A jug has 10 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?
  17. 17.A grocer mixes 8 kg of tea at ₹22 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  19. 19.A 27-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?
  20. 20.A 30-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?
  21. 21.A grocer mixes 7 kg of tea at ₹120 per kg with 5 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹32 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  23. 23.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?
  24. 24.Rice at ₹25 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.Rice at ₹49 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  26. 26.Rice at ₹64 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.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?
  28. 28.Rice at ₹32 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  29. 29.Rice at ₹39 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  30. 30.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 : 8?
  31. 31.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  32. 32.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?
  33. 33.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  34. 34.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?
  35. 35.Rice at ₹33 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.A grocer mixes 8 kg of tea at ₹46 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 30-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?
  38. 38.A jug has 40 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?
  39. 39.A grocer mixes 4 kg of tea at ₹85 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹25 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?

Answer key

  1. 36
  2. 40
  3. 15
  4. 12
  5. 90
  6. 24
  7. 80
  8. 1
  9. 8
  10. 45
  11. 12
  12. 4
  13. 16
  14. 33
  15. 12
  16. 75
  17. 47
  18. 12
  19. 6
  20. 30
  21. 80
  22. 6
  23. 50
  24. 8
  25. 1
  26. 1
  27. 50
  28. 8
  29. 5
  30. 18
  31. 8
  32. 60
  33. 2
  34. 4
  35. 30
  36. 34
  37. 40
  38. 60
  39. 64
  40. 15

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