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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 395 · 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 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 49-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  3. 3.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  5. 5.Rice at ₹40 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.Rice at ₹42 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  7. 7.Rice at ₹28 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  8. 8.Rice at ₹34 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  9. 9.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.Rice at ₹37 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  11. 11.Rice at ₹43 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  12. 12.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?
  13. 13.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?
  14. 14.Rice at ₹31 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  15. 15.Rice at ₹48 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.Rice at ₹20 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  17. 17.Rice at ₹66 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  18. 18.A jug has 10 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?
  19. 19.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?
  20. 20.A jug has 40 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?
  21. 21.A grocer mixes 3 kg of tea at ₹62 per kg with 10 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A grocer mixes 5 kg of tea at ₹22 per kg with 3 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 12 kg of tea at ₹35 per kg with 12 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹43 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  26. 26.Rice at ₹69 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.Rice at ₹76 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  28. 28.Rice at ₹29 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  29. 29.A jug has 10 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?
  30. 30.A 35-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  31. 31.A jug has 10 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?
  32. 32.Rice at ₹24 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  34. 34.Rice at ₹60 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  35. 35.A jug has 20 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?
  36. 36.A grocer mixes 10 kg of tea at ₹54 per kg with 2 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 12-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?
  38. 38.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  39. 39.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  40. 40.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?

Answer key

  1. 80
  2. 28
  3. 50
  4. 28
  5. 4
  6. 8
  7. 12
  8. 2
  9. 8
  10. 35
  11. 4
  12. 40
  13. 50
  14. 5
  15. 30
  16. 20
  17. 15
  18. 50
  19. 36
  20. 28
  21. 92
  22. 40
  23. 52
  24. 64
  25. 32
  26. 24
  27. 25
  28. 30
  29. 55
  30. 20
  31. 68
  32. 18
  33. 12
  34. 3
  35. 52
  36. 60
  37. 8
  38. 18
  39. 10
  40. 40

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