← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 358 · 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. 14 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. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A grocer mixes 5 kg of tea at ₹90 per kg with 10 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 2 kg of tea at ₹65 per kg with 3 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹65 per kg is mixed with rice at ₹142 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.Rice at ₹41 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  7. 7.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?
  8. 8.A grocer mixes 2 kg of tea at ₹90 per kg with 6 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  10. 10.A grocer mixes 6 kg of tea at ₹120 per kg with 12 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 70-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  12. 12.Rice at ₹30 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  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.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?
  15. 15.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  16. 16.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?
  17. 17.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  18. 18.Rice at ₹22 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.Rice at ₹30 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.Rice at ₹43 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.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?
  22. 22.A grocer mixes 3 kg of tea at ₹119 per kg with 7 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 4 kg of tea at ₹92 per kg with 4 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 3 kg of tea at ₹59 per kg with 7 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹68 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  26. 26.A grocer mixes 3 kg of tea at ₹54 per kg with 2 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 2 kg of tea at ₹98 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 12 kg of tea at ₹56 per kg with 12 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 81-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?
  30. 30.A grocer mixes 9 kg of tea at ₹29 per kg with 3 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  32. 32.Rice at ₹79 per kg is mixed with rice at ₹135 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  33. 33.A grocer mixes 8 kg of tea at ₹103 per kg with 2 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  35. 35.A jug has 10 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?
  36. 36.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹53 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.Rice at ₹52 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  39. 39.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?
  40. 40.Rice at ₹80 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 75
  2. 55
  3. 56
  4. 74
  5. 10
  6. 40
  7. 60
  8. 72
  9. 18
  10. 96
  11. 14
  12. 8
  13. 50
  14. 68
  15. 10
  16. 32
  17. 3
  18. 1
  19. 1
  20. 3
  21. 50
  22. 63
  23. 78
  24. 80
  25. 10
  26. 52
  27. 89
  28. 50
  29. 18
  30. 46
  31. 32
  32. 24
  33. 106
  34. 20
  35. 70
  36. 50
  37. 8
  38. 40
  39. 50
  40. 4

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