← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 277 · 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 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  2. 2.A 24-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?
  3. 3.Rice at ₹32 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.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?
  5. 5.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.A grocer mixes 6 kg of tea at ₹105 per kg with 4 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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 : 5?
  8. 8.A grocer mixes 2 kg of tea at ₹42 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 12 kg of tea at ₹69 per kg with 8 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  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 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?
  12. 12.A jug has 40 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?
  13. 13.A 56-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.A jug has 20 litres of a drink that is 10% mango juice. 4 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.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?
  17. 17.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?
  18. 18.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?
  19. 19.A 54-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 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  21. 21.Rice at ₹58 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  22. 22.A grocer mixes 9 kg of tea at ₹68 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.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?
  25. 25.Rice at ₹73 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  26. 26.Rice at ₹75 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  27. 27.A grocer mixes 10 kg of tea at ₹107 per kg with 10 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  30. 30.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?
  31. 31.A grocer mixes 5 kg of tea at ₹80 per kg with 9 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹44 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  33. 33.A 30-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?
  34. 34.A grocer mixes 6 kg of tea at ₹36 per kg with 2 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹64 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  36. 36.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  37. 37.Rice at ₹71 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.Rice at ₹24 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  39. 39.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  40. 40.A grocer mixes 5 kg of tea at ₹21 per kg with 5 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 8
  2. 3
  3. 18
  4. 40
  5. 9
  6. 75
  7. 30
  8. 48
  9. 57
  10. 80
  11. 55
  12. 20
  13. 8
  14. 25
  15. 60
  16. 50
  17. 28
  18. 60
  19. 12
  20. 9
  21. 16
  22. 60
  23. 40
  24. 50
  25. 28
  26. 6
  27. 85
  28. 64
  29. 6
  30. 60
  31. 71
  32. 30
  33. 20
  34. 48
  35. 14
  36. 4
  37. 5
  38. 24
  39. 16
  40. 49

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