← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 443 · 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 49-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?
  2. 2.Rice at ₹29 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  3. 3.A grocer mixes 3 kg of tea at ₹29 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A jug has 40 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?
  5. 5.Rice at ₹29 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.A grocer mixes 6 kg of tea at ₹110 per kg with 3 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.Rice at ₹66 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  9. 9.A grocer mixes 2 kg of tea at ₹30 per kg with 9 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹35 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  11. 11.Rice at ₹59 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  12. 12.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?
  13. 13.A grocer mixes 3 kg of tea at ₹29 per kg with 3 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹53 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  15. 15.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?
  16. 16.A grocer mixes 10 kg of tea at ₹37 per kg with 3 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 3 kg of tea at ₹109 per kg with 3 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹57 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  19. 19.Rice at ₹52 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  20. 20.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?
  21. 21.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  22. 22.Rice at ₹28 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.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?
  24. 24.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?
  25. 25.Rice at ₹69 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  26. 26.A 120-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?
  27. 27.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  28. 28.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?
  29. 29.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?
  30. 30.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  31. 31.A jug has 25 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?
  32. 32.Rice at ₹40 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  34. 34.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?
  35. 35.A grocer mixes 2 kg of tea at ₹101 per kg with 8 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹45 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  37. 37.A grocer mixes 2 kg of tea at ₹116 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 8 kg of tea at ₹78 per kg with 2 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹33 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.A grocer mixes 8 kg of tea at ₹111 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 21
  2. 40
  3. 37
  4. 28
  5. 16
  6. 98
  7. 50
  8. 3
  9. 75
  10. 21
  11. 25
  12. 52
  13. 59
  14. 25
  15. 4
  16. 43
  17. 88
  18. 16
  19. 20
  20. 60
  21. 6
  22. 1
  23. 50
  24. 70
  25. 18
  26. 10
  27. 12
  28. 50
  29. 20
  30. 12
  31. 50
  32. 10
  33. 6
  34. 4
  35. 45
  36. 30
  37. 77
  38. 85
  39. 8
  40. 90

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