← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 363 · 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 ₹66 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  2. 2.A 30-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?
  3. 3.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?
  4. 4.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.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?
  6. 6.Rice at ₹64 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  7. 7.Rice at ₹30 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  8. 8.A grocer mixes 10 kg of tea at ₹91 per kg with 4 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹39 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  10. 10.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 4 : 7?
  11. 11.Rice at ₹26 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 1 kg of the dearer rice?
  12. 12.A 30-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?
  13. 13.Rice at ₹68 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  14. 14.Rice at ₹71 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.Rice at ₹25 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.A jug has 10 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?
  17. 17.A grocer mixes 8 kg of tea at ₹116 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A jug has 10 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?
  19. 19.A grocer mixes 12 kg of tea at ₹64 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹48 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.A grocer mixes 4 kg of tea at ₹53 per kg with 8 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 72-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?
  23. 23.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  24. 24.A grocer mixes 10 kg of tea at ₹88 per kg with 5 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹40 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  26. 26.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?
  27. 27.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  28. 28.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 : 2?
  29. 29.A grocer mixes 7 kg of tea at ₹109 per kg with 4 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 3 kg of tea at ₹52 per kg with 3 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 9 kg of tea at ₹87 per kg with 9 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹69 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  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 : 3?
  34. 34.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  35. 35.Rice at ₹52 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.A 130-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?
  37. 37.A grocer mixes 2 kg of tea at ₹55 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 5 kg of tea at ₹55 per kg with 10 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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 : 10?
  40. 40.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?

Answer key

  1. 35
  2. 18
  3. 40
  4. 36
  5. 52
  6. 12
  7. 15
  8. 83
  9. 10
  10. 32
  11. 5
  12. 12
  13. 24
  14. 12
  15. 18
  16. 70
  17. 98
  18. 80
  19. 55
  20. 2
  21. 63
  22. 36
  23. 6
  24. 86
  25. 9
  26. 70
  27. 10
  28. 18
  29. 77
  30. 49
  31. 76
  32. 1
  33. 5
  34. 24
  35. 24
  36. 40
  37. 49
  38. 51
  39. 24
  40. 30

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