← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 605 · 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 11 kg of tea at ₹30 per kg with 6 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 10 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.Rice at ₹62 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.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?
  5. 5.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  6. 6.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  7. 7.Rice at ₹79 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  8. 8.A jug has 40 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?
  9. 9.A 15-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?
  10. 10.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A 44-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  12. 12.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  13. 13.A grocer mixes 4 kg of tea at ₹85 per kg with 10 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 20-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?
  15. 15.Rice at ₹30 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  16. 16.A 50-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?
  17. 17.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 1 : 1?
  18. 18.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  19. 19.A jug has 10 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?
  20. 20.A grocer mixes 8 kg of tea at ₹89 per kg with 2 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 3 kg of tea at ₹64 per kg with 3 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 10 kg of tea at ₹40 per kg with 10 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.Rice at ₹26 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.Rice at ₹23 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  26. 26.Rice at ₹38 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  27. 27.Rice at ₹37 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  28. 28.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  29. 29.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?
  30. 30.A grocer mixes 2 kg of tea at ₹21 per kg with 9 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A grocer mixes 2 kg of tea at ₹43 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 11 kg of tea at ₹66 per kg with 3 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.A grocer mixes 9 kg of tea at ₹62 per kg with 12 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹35 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  37. 37.Rice at ₹48 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  38. 38.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  39. 39.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.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?

Answer key

  1. 60
  2. 70
  3. 12
  4. 50
  5. 3
  6. 12
  7. 9
  8. 40
  9. 3
  10. 50
  11. 16
  12. 20
  13. 75
  14. 4
  15. 35
  16. 40
  17. 28
  18. 10
  19. 55
  20. 94
  21. 56
  22. 63
  23. 20
  24. 12
  25. 6
  26. 16
  27. 24
  28. 7
  29. 28
  30. 84
  31. 60
  32. 29
  33. 72
  34. 18
  35. 94
  36. 35
  37. 42
  38. 40
  39. 50
  40. 50

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