← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 400 · 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 3 kg of tea at ₹43 per kg with 7 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 3 kg of tea at ₹105 per kg with 8 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  4. 4.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?
  5. 5.A grocer mixes 12 kg of tea at ₹63 per kg with 6 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 4 kg of tea at ₹64 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 10 kg of tea at ₹111 per kg with 10 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.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?
  10. 10.A jug has 10 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?
  11. 11.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  12. 12.Rice at ₹35 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  13. 13.Rice at ₹62 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  14. 14.Rice at ₹21 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  15. 15.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  16. 16.A grocer mixes 5 kg of tea at ₹42 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹76 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  18. 18.A grocer mixes 7 kg of tea at ₹42 per kg with 7 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  21. 21.A grocer mixes 12 kg of tea at ₹51 per kg with 9 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 10 kg of tea at ₹73 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹52 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  24. 24.Rice at ₹20 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.A grocer mixes 7 kg of tea at ₹111 per kg with 7 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.Rice at ₹34 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 12 kg of the dearer rice?
  28. 28.A grocer mixes 5 kg of tea at ₹68 per kg with 2 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹21 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.Rice at ₹25 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  31. 31.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?
  32. 32.A jug has 40 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?
  33. 33.Rice at ₹30 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  34. 34.A grocer mixes 3 kg of tea at ₹87 per kg with 2 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 16-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?
  36. 36.A 81-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  37. 37.Rice at ₹50 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  38. 38.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 1 : 2?
  39. 39.A jug has 20 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?
  40. 40.A 80-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?

Answer key

  1. 50
  2. 49
  3. 5
  4. 60
  5. 56
  6. 54
  7. 106
  8. 50
  9. 40
  10. 70
  11. 8
  12. 5
  13. 35
  14. 2
  15. 12
  16. 34
  17. 24
  18. 47
  19. 36
  20. 4
  21. 63
  22. 63
  23. 5
  24. 2
  25. 78
  26. 50
  27. 3
  28. 70
  29. 4
  30. 1
  31. 25
  32. 25
  33. 7
  34. 83
  35. 8
  36. 9
  37. 40
  38. 12
  39. 50
  40. 20

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