← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 998 · 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 grocer mixes 6 kg of tea at ₹25 per kg with 9 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  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 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  4. 4.A grocer mixes 6 kg of tea at ₹81 per kg with 3 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  6. 6.Rice at ₹28 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.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?
  8. 8.A jug has 40 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?
  9. 9.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?
  10. 10.A grocer mixes 9 kg of tea at ₹89 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  12. 12.A grocer mixes 9 kg of tea at ₹120 per kg with 9 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  14. 14.Rice at ₹66 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  15. 15.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?
  16. 16.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  17. 17.A grocer mixes 5 kg of tea at ₹60 per kg with 5 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹50 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  19. 19.A grocer mixes 6 kg of tea at ₹113 per kg with 4 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.Rice at ₹80 per kg is mixed with rice at ₹120 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?
  22. 22.A grocer mixes 11 kg of tea at ₹44 per kg with 6 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹36 per kg is mixed with rice at ₹48 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?
  24. 24.Rice at ₹64 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  25. 25.Rice at ₹29 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.A grocer mixes 10 kg of tea at ₹48 per kg with 10 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 7 kg of tea at ₹94 per kg with 3 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 5 kg of tea at ₹89 per kg with 10 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  30. 30.A 16-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?
  31. 31.Rice at ₹80 per kg is mixed with rice at ₹136 per kg to make a mix worth ₹128 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  32. 32.Rice at ₹79 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.Rice at ₹77 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  34. 34.A grocer mixes 9 kg of tea at ₹53 per kg with 2 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  36. 36.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  37. 37.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 2 : 3?
  38. 38.A grocer mixes 4 kg of tea at ₹59 per kg with 4 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹29 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.Rice at ₹46 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?

Answer key

  1. 34
  2. 55
  3. 9
  4. 85
  5. 20
  6. 18
  7. 20
  8. 25
  9. 60
  10. 81
  11. 2
  12. 73
  13. 12
  14. 4
  15. 50
  16. 12
  17. 72
  18. 6
  19. 109
  20. 60
  21. 9
  22. 38
  23. 8
  24. 35
  25. 12
  26. 76
  27. 97
  28. 103
  29. 2
  30. 8
  31. 8
  32. 15
  33. 4
  34. 59
  35. 10
  36. 4
  37. 15
  38. 86
  39. 18
  40. 25

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