← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 237 · 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 20 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.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A 8-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?
  4. 4.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  5. 5.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  6. 6.A grocer mixes 10 kg of tea at ₹26 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A grocer mixes 5 kg of tea at ₹111 per kg with 10 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹42 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  10. 10.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  11. 11.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?
  12. 12.Rice at ₹69 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  13. 13.A 42-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?
  14. 14.A grocer mixes 4 kg of tea at ₹103 per kg with 9 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 4 kg of tea at ₹38 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.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?
  18. 18.Rice at ₹66 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  19. 19.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?
  20. 20.A grocer mixes 6 kg of tea at ₹117 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹32 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  22. 22.A grocer mixes 8 kg of tea at ₹36 per kg with 5 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  25. 25.A grocer mixes 10 kg of tea at ₹79 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 20 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?
  27. 27.Rice at ₹60 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.Rice at ₹29 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.Rice at ₹57 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.A 42-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  31. 31.Rice at ₹61 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  32. 32.A grocer mixes 2 kg of tea at ₹51 per kg with 3 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  34. 34.Rice at ₹33 per kg is mixed with rice at ₹75 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?
  35. 35.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?
  36. 36.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?
  37. 37.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?
  38. 38.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A grocer mixes 3 kg of tea at ₹32 per kg with 8 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A jug has 50 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?

Answer key

  1. 70
  2. 40
  3. 4
  4. 2
  5. 14
  6. 53
  7. 40
  8. 99
  9. 4
  10. 10
  11. 50
  12. 8
  13. 12
  14. 49
  15. 50
  16. 50
  17. 25
  18. 35
  19. 50
  20. 89
  21. 4
  22. 61
  23. 60
  24. 7
  25. 71
  26. 52
  27. 5
  28. 36
  29. 6
  30. 6
  31. 7
  32. 63
  33. 20
  34. 6
  35. 68
  36. 75
  37. 60
  38. 50
  39. 80
  40. 25

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