← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 501 · 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.Rice at ₹28 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  3. 3.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  4. 4.A 63-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?
  5. 5.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹35 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹67 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 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A grocer mixes 9 kg of tea at ₹58 per kg with 6 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  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 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  11. 11.A grocer mixes 3 kg of tea at ₹84 per kg with 4 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 10 kg of tea at ₹87 per kg with 10 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A jug has 40 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?
  15. 15.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.Rice at ₹20 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  17. 17.A grocer mixes 6 kg of tea at ₹43 per kg with 2 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 11 kg of tea at ₹74 per kg with 4 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹32 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  20. 20.A 35-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?
  21. 21.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 3 : 11?
  22. 22.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?
  23. 23.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  24. 24.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?
  25. 25.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 1 : 1?
  26. 26.Rice at ₹34 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  27. 27.Rice at ₹59 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  28. 28.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  29. 29.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A 60-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?
  31. 31.A 56-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?
  32. 32.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  33. 33.A grocer mixes 3 kg of tea at ₹53 per kg with 7 kg of tea at ₹43 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 ₹48 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.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 7 : 10?
  36. 36.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?
  37. 37.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  38. 38.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?
  39. 39.Rice at ₹67 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  40. 40.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?

Answer key

  1. 16
  2. 7
  3. 15
  4. 9
  5. 75
  6. 12
  7. 50
  8. 80
  9. 60
  10. 4
  11. 60
  12. 78
  13. 50
  14. 60
  15. 25
  16. 6
  17. 41
  18. 78
  19. 28
  20. 5
  21. 8
  22. 60
  23. 2
  24. 75
  25. 8
  26. 6
  27. 16
  28. 8
  29. 80
  30. 12
  31. 24
  32. 12
  33. 46
  34. 25
  35. 12
  36. 50
  37. 9
  38. 50
  39. 5
  40. 8

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