← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 44 · 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. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹32 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.A grocer mixes 8 kg of tea at ₹92 per kg with 8 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 12 kg of tea at ₹58 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  6. 6.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?
  7. 7.A grocer mixes 11 kg of tea at ₹36 per kg with 4 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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 1 : 1?
  9. 9.A jug has 40 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?
  10. 10.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  11. 11.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  12. 12.A 10-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?
  13. 13.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.Rice at ₹72 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 6 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.Rice at ₹27 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  17. 17.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 : 9?
  18. 18.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?
  19. 19.A 35-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?
  20. 20.A grocer mixes 12 kg of tea at ₹92 per kg with 3 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 6 kg of tea at ₹40 per kg with 7 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  23. 23.A 24-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?
  24. 24.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  25. 25.Rice at ₹50 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.A grocer mixes 4 kg of tea at ₹97 per kg with 12 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A 60-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  29. 29.A grocer mixes 8 kg of tea at ₹32 per kg with 12 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  31. 31.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?
  32. 32.A 28-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?
  33. 33.A grocer mixes 3 kg of tea at ₹94 per kg with 3 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹24 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  35. 35.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?
  36. 36.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.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?
  38. 38.A grocer mixes 3 kg of tea at ₹53 per kg with 2 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹78 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.Rice at ₹65 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 80
  2. 8
  3. 66
  4. 49
  5. 6
  6. 3
  7. 52
  8. 30
  9. 40
  10. 9
  11. 36
  12. 4
  13. 25
  14. 18
  15. 50
  16. 16
  17. 16
  18. 40
  19. 14
  20. 87
  21. 47
  22. 6
  23. 2
  24. 24
  25. 3
  26. 106
  27. 64
  28. 18
  29. 26
  30. 10
  31. 55
  32. 12
  33. 61
  34. 20
  35. 60
  36. 50
  37. 55
  38. 55
  39. 8
  40. 6

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