← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 947 · 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 30-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?
  2. 2.Rice at ₹45 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  3. 3.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  4. 4.A grocer mixes 8 kg of tea at ₹115 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A grocer mixes 3 kg of tea at ₹54 per kg with 2 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 14-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?
  8. 8.A jug has 25 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?
  9. 9.A 108-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  10. 10.A grocer mixes 11 kg of tea at ₹95 per kg with 7 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.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 : 6?
  13. 13.A 36-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  14. 14.A grocer mixes 2 kg of tea at ₹82 per kg with 5 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹72 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.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?
  17. 17.Rice at ₹29 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  18. 18.Rice at ₹70 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.Rice at ₹57 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.Rice at ₹35 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  21. 21.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  22. 22.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 4 : 5?
  23. 23.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?
  24. 24.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A 44-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?
  26. 26.A jug has 40 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?
  27. 27.A grocer mixes 8 kg of tea at ₹43 per kg with 3 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 8 kg of tea at ₹111 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹40 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.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?
  31. 31.A grocer mixes 2 kg of tea at ₹36 per kg with 7 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.A grocer mixes 6 kg of tea at ₹104 per kg with 12 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 4 kg of tea at ₹74 per kg with 11 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 11 kg of tea at ₹33 per kg with 6 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.Rice at ₹35 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.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?
  39. 39.Rice at ₹58 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.Rice at ₹20 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 6
  2. 30
  3. 12
  4. 85
  5. 28
  6. 48
  7. 6
  8. 50
  9. 9
  10. 81
  11. 60
  12. 32
  13. 8
  14. 47
  15. 4
  16. 25
  17. 15
  18. 30
  19. 15
  20. 10
  21. 32
  22. 16
  23. 55
  24. 60
  25. 12
  26. 52
  27. 64
  28. 82
  29. 6
  30. 60
  31. 29
  32. 20
  33. 70
  34. 107
  35. 63
  36. 60
  37. 6
  38. 75
  39. 4
  40. 2

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