← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 335 · 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 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 3 kg of tea at ₹119 per kg with 6 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 20 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?
  4. 4.Rice at ₹70 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  5. 5.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  6. 6.Rice at ₹27 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  7. 7.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?
  8. 8.A grocer mixes 7 kg of tea at ₹62 per kg with 12 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 9 kg of tea at ₹76 per kg with 9 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹28 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.Rice at ₹53 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  12. 12.Rice at ₹33 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.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?
  14. 14.Rice at ₹78 per kg is mixed with rice at ₹166 per kg to make a mix worth ₹126 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  16. 16.Rice at ₹27 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  17. 17.A 14-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?
  18. 18.Rice at ₹27 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  19. 19.Rice at ₹71 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  20. 20.A 18-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?
  21. 21.A jug has 20 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?
  22. 22.Rice at ₹31 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  23. 23.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  24. 24.A grocer mixes 4 kg of tea at ₹119 per kg with 2 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 5 kg of tea at ₹44 per kg with 5 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  27. 27.A 50-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?
  28. 28.Rice at ₹42 per kg is mixed with rice at ₹57 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?
  29. 29.Rice at ₹20 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  30. 30.Rice at ₹74 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  31. 31.Rice at ₹28 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  32. 32.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?
  33. 33.Rice at ₹66 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  34. 34.A 32-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?
  35. 35.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?
  36. 36.A grocer mixes 10 kg of tea at ₹22 per kg with 2 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹77 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.A grocer mixes 4 kg of tea at ₹116 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹33 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  40. 40.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?

Answer key

  1. 40
  2. 57
  3. 55
  4. 7
  5. 6
  6. 5
  7. 40
  8. 50
  9. 78
  10. 4
  11. 15
  12. 15
  13. 50
  14. 5
  15. 10
  16. 20
  17. 8
  18. 4
  19. 2
  20. 8
  21. 60
  22. 12
  23. 12
  24. 102
  25. 35
  26. 6
  27. 20
  28. 6
  29. 2
  30. 24
  31. 7
  32. 50
  33. 10
  34. 8
  35. 28
  36. 27
  37. 1
  38. 72
  39. 2
  40. 12

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude