← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 910 · 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 7 kg of tea at ₹54 per kg with 7 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹28 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 5 kg of the dearer rice?
  3. 3.A jug has 40 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?
  4. 4.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 : 9?
  5. 5.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  6. 6.Rice at ₹49 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  7. 7.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  8. 8.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  9. 9.Rice at ₹44 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  10. 10.A 56-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?
  11. 11.A grocer mixes 12 kg of tea at ₹106 per kg with 4 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  14. 14.Rice at ₹33 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  15. 15.A grocer mixes 3 kg of tea at ₹21 per kg with 12 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹69 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  18. 18.Rice at ₹62 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  19. 19.A grocer mixes 9 kg of tea at ₹62 per kg with 9 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹34 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.A grocer mixes 11 kg of tea at ₹66 per kg with 4 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹23 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.A grocer mixes 12 kg of tea at ₹92 per kg with 11 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 11 kg of tea at ₹46 per kg with 11 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹75 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  26. 26.A grocer mixes 6 kg of tea at ₹20 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 6 kg of tea at ₹23 per kg with 2 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  29. 29.Rice at ₹53 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  30. 30.A grocer mixes 2 kg of tea at ₹106 per kg with 4 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹68 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  32. 32.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 : 4?
  33. 33.A grocer mixes 10 kg of tea at ₹67 per kg with 5 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 12 kg of tea at ₹30 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹59 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  36. 36.Rice at ₹73 per kg is mixed with rice at ₹136 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.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 : 4?
  38. 38.A grocer mixes 5 kg of tea at ₹43 per kg with 10 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 18-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?
  40. 40.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 43
  2. 1
  3. 52
  4. 8
  5. 8
  6. 28
  7. 18
  8. 8
  9. 12
  10. 7
  11. 92
  12. 60
  13. 32
  14. 35
  15. 77
  16. 8
  17. 2
  18. 12
  19. 51
  20. 12
  21. 70
  22. 12
  23. 70
  24. 39
  25. 20
  26. 24
  27. 25
  28. 8
  29. 35
  30. 70
  31. 6
  32. 6
  33. 52
  34. 33
  35. 7
  36. 10
  37. 6
  38. 41
  39. 6
  40. 36

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